title: New systematics in charmless strange $B^+ \to VP$ decays

abstract:
  Latest data on charmless strange vector-pseudoscalar $B^+$ decays now
including $B^+\to \rho^+ K^o$ confirm a simple penguin model in which the gluon
$G$ in an initial $\bar s u G$ state fragments equally into $u \bar u$, $d \bar
d$ and $s \bar s$ and all form factors are equal. A search for possible
additional contributions shows only a few signals not obscured by experimental
errors whose implications are discussed. The experimental value of $0.25 \pm
0.11$ for the ratio of the branching ratios $BR(B^+ \to K^{*+}\eta)$ to
$BR(B^+\to K^{*+}\eta')$ confirms the parity selection rule prediction 0.32.
Large violations arise in a new sum rule for the sum of these branching ratios,
analogous to the similar pseudoscalar sum rule including $K^+\eta$ and
$K^+\eta'$. Indications for either an electroweak penguin contribution or
additional admixtures like instrinsic charm in the $\eta-\eta'$ system remain
to be clarified. An alternative symmetry description with new predictive power
clarifies the simple penguin approximation and presents new predictions which
can be tested experimentally. The fragmentation of the $\bar s u G$ state into
two mesons is described by a strong interaction S-matrix dominated by nonexotic
hadron resonances in multiparticle intermediate states.


title: Invariance Mechanics - A new direction for quantum gravity

abstract: This paper has been withdrawn by the author.


title: Can quarkonia survive deconfinement ?

abstract:
  We study quarkonium correlators and spectral functions at zero and finite
temperature in QCD with only heavy quarks using potential models combined with
perturbative QCD. First, we show that this approach can describe the quarkonium
correlation function at zero temperature. Using a class of screened potentials
based on lattice calculations of the static quark-antiquark free energy we
calculate spectral functions at finite temperature. We find that all quarkonium
states, with the exception of the $1S$ bottomonium, dissolve in the deconfined
phase at temperatures smaller than $1.5T_c$, in contradiction with the
conclusions of recent studies. Despite this the temperature dependence of the
quarkonium correlation functions calculated on the lattice is well reproduced
in our model. We also find that even in the absence of resonances the spectral
function at high temperatures is significantly enhanced over the spectral
function corresponding to free quark antiquark propagation.


title:
Anomalous lifetime distributions and topological traps in ordering
  dynamics

abstract:
  We address the role of community structure of an interaction network in
ordering dynamics, as well as associated forms of metastability. We consider
the voter and AB model dynamics in a network model which mimics social
interactions. The AB model includes an intermediate state between the two
excluding options of the voter model. For the voter model we find dynamical
metastable disordered states with a characteristic mean lifetime. However, for
the AB dynamics we find a power law distribution of the lifetime of metastable
states, so that the mean lifetime is not representative of the dynamics. These
trapped metastable states, which can order at all time scales, originate in the
mesoscopic network structure.


title: The tripartite separability of density matrices of graphs

abstract:
  The density matrix of a graph is the combinatorial laplacian matrix of a
graph normalized to have unit trace. In this paper we generalize the
entanglement properties of mixed density matrices from combinatorial laplacian
matrices of graphs discussed in Braunstein {\it et al.} Annals of
Combinatorics, {\bf 10}(2006)291 to tripartite states. Then we proved that the
degree condition defined in Braunstein {\it et al.} Phys. Rev. A {\bf 73},
(2006)012320 is sufficient and necessary for the tripartite separability of the
density matrix of a nearest point graph.


title: Anthropic prediction in a large toy landscape

abstract:
  The successful anthropic prediction of the cosmological constant depends
crucially on the assumption of a flat prior distribution. However, previous
calculations in simplified landscape models showed that the prior distribution
is staggered, suggesting a conflict with anthropic predictions. Here we
analytically calculate the full distribution, including the prior and anthropic
selection effects, in a toy landscape model with a realistic number of vacua,
$N \sim 10^{500}$. We show that it is possible for the fractal prior
distribution we find to behave as an effectively flat distribution in a wide
class of landscapes, depending on the regime of parameter space. Whether or not
this possibility is realized depends on presently unknown details of the
landscape.


title: Supersymmetric D-branes on SU(2) structure manifolds

abstract:
  We employ generalized complex geometry to investigate supersymmetric
embeddings of D-brane probes in a large class of SU(2) structure manifolds.
This class includes the gravity dual of mass deformation and marginal beta
deformation of N=4 SYM gauge theory. We find supersymmetric configurations of
D-branes with different dimensionality and propose their interpretation in the
dual gauge theory.


title: How many black holes fit on the head of a pin?

abstract:
  The Bekenstein-Hawking entropy of certain black holes can be computed
microscopically in string theory by mapping the elusive problem of counting
microstates of a strongly gravitating black hole to the tractable problem of
counting microstates of a weakly coupled D-brane system, which has no event
horizon, and indeed comfortably fits on the head of a pin. We show here that,
contrary to widely held beliefs, the entropy of spherically symmetric black
holes can easily be dwarfed by that of stationary multi-black-hole
``molecules'' of the same total charge and energy. Thus, the corresponding
pin-sized D-brane systems do not even approximately count the microstates of a
single black hole, but rather those of a zoo of entropically dominant
multicentered configurations.


title: Slow relaxation of conductance of amorphous hopping insulators

abstract:
  We discuss memory effects in the conductance of hopping insulators due to
slow rearrangements of structural defects leading to formation of polarons
close to the electron hopping states. An abrupt change in the gate voltage and
corresponding shift of the chemical potential change populations of the hopping
sites, which then slowly relax due to rearrangements of structural defects. As
a result, the density of hopping states becomes time dependent on a scale
relevant to rearrangement of the structural defects leading to the excess time
dependent conductivity.


title: Fourier Synthesis Methods for Control of Inhomogeneous Quantum Systems

abstract:
  Finding control laws (pulse sequences) that can compensate for dispersions in
parameters which govern the evolution of a quantum system is an important
problem in the fields of coherent spectroscopy, imaging, and quantum
information processing. The use of composite pulse techniques for such tasks
has a long and widely known history. In this paper, we introduce the method of
Fourier synthesis control law design for compensating dispersions in quantum
system dynamics. We focus on system models arising in NMR spectroscopy and NMR
imaging applications.


title:
Characterization of all the supersymmetric solutions of gauged N=1,d=5
  supergravity

abstract:
  We find a complete characterization of all the supersymmetric solutions of
non-Abelian gauged N=1,d=5 supergravity coupled to vector multiplets and
hypermultiplets: the generic forms of the metrics as functions of the scalars
and vector fields plus the equations that all these must satisfy. These
equations are now a complicated non-linear system and there it seems impossible
to produce an algorithm to construct systematically all supersymmetric
solutions.


title:
Reexamining the Einstein-Podolsky-Rosen experiment, photon correlation
  and Bell's inequality

abstract:
  The purpose of this article is to show that the introduction of hidden
variables to describe individual events is fully consistent with the
statistical predictions of quantum theory. We illustrate the validity of this
assertion by discussing two fundamental experiments on correlated photons which
are believed to behave ``violently non-classical''. Our considerations carry
over to correlated pairs of neutral particles of spin one-half in a singlet
state. Much in the spirit of Einstein's conviction we come to the conclusion
that the state vector of a system does not provide an exhaustive description of
the individual physical system. We also briefly discuss an experiment on
``quantum teleportation'' and demonstrate that our completely local approach
leads to a full understanding of the experiment indicating the absence of any
teleportation phenomenon. We caution that the indiscriminated use of the term
``Quantum Theory'' tends to obscure distinct differences between the quantum
mechanics of massive particles and the propagation of photons. It is emphasized
that the properties of polarizers, beam splitters, halfwave plates etc. used in
photon-correlation experiments are defined by the laws of classical optics.
Hence, understanding the outcome of those experiments requires a well-founded
interconnection between classical and quantum electrodynamics free from
unnecessary hypotheses.


title: Fully permanent magnet atom chip for Bose-Einstein condensation

abstract:
  We describe a self-biased, fully permanent magnet atom chip used to study
ultracold atoms and to produce a Bose-Einstein condensate (BEC). The magnetic
trap is loaded efficiently by adiabatic transport of a magnetic trap via the
application of uniform external fields. Radio frequency spectroscopy is used
for in-trap analysis and to determine the temperature of the atomic cloud. The
formation of a Bose-Einstein condensate is observed in time of flight images
and as a narrow peak appearing in the radio frequency spectrum.


title: Outer jet X-ray and radio emission in R Aquarii: 1999.8 to 2004.0

abstract:
  Chandra and VLA observations of the symbiotic star R Aqr in 2004 reveal
significant changes over the three to four year interval between these
observations and previous observations taken with the VLA in 1999 and with
Chandra in 2000. This paper reports on the evolution of the outer thermal X-ray
lobe-jets and radio jets. The emission from the outer X-ray lobe-jets lies
farther away from the central binary than the outer radio jets, and comes from
material interpreted as being shock heated to ~10^6 K, a likely result of
collision between high speed material ejected from the central binary and
regions of enhanced gas density. Between 2000 and 2004, the Northeast (NE)
outer X-ray lobe-jet moved out away from the central binary, with an apparent
projected motion of ~580 km s^-1. The Southwest (SW) outer X-ray lobe-jet
almost disappeared between 2000 and 2004, presumably due to adiabatic expansion
and cooling. The NE radio bright spot also moved away from the central binary
between 2000 and 2004, but with a smaller apparent velocity than of the NE
X-ray bright spot. The SW outer lobe-jet was not detected in the radio in
either 1999 or 2004. The density and mass of the X-ray emitting material is
estimated. Cooling times, shock speeds, pressure and confinement are discussed.


title:
The effective potential and resummation procedure to multidimensional
  complex cubic potentials for weak and strong-coupling

abstract:
  The method for the recursive calculation of the effective potential is
applied successfully in case of weak coupling limit (g tend to zero) to a
multidimensional complex cubic potential. In strong-coupling limit (g tend to
infinity), the result is resumed using the variational perturbation theory
(VPT). It is found that the convergence of VPT-results approaches those
expected.


title:
Supersymmetric Yang Mills Fields and Black Holes ; In Ten Dimensional
  Unified Field Theory

abstract:
  The Ten dimensional Unified field theory has a 4 dimensional Riemannian
spacetime and six dimensional Calabi Yau space structure. The supersymmetric
Yang Mills fields and black holes are solutions in these theories. The
formation of primordial black holes in early universe, the collapse to
singularity of stellar black holes, the Hawking evaporation of microscopic
black holes in LHC are topics of observational and theoretical interest.
  The observation of gamma ray bursts and creation of spectrum of particles and
radiation of dark and normal matter occur due to primordial and microscopic
black holes. The approach to singularity in black hole interior solutions,
require the Bogoliubov transforms of SUSY YM fields in black hole geometries;
both during formation and in evaporation. The Hawking effect of radiating black
holes is applicable for all the fields. Invariants can be defined to give the
conditions for these processes.


title: Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation

abstract:
  We report the first measurement of the \emph{dynamical response} of shot
noise (measured at frequency $\omega$) of a tunnel junction to an ac excitation
at frequency $\omega_0$. The experiment is performed in the quantum regime,
$\hbar\omega\sim\hbar\omega_0\gg k_BT$ at very low temperature T=35mK and high
frequency $\omega_0/2\pi=6.2$ GHz. We observe that the noise responds in phase
with the excitation, but not adiabatically. The results are in very good
agreement with a prediction based on a new current-current correlator.


title:
Analytical approximation of the emission line Fe $K_\alpha$ in QSO's
  spectra

abstract:
  In spectra of many Seyfert galaxies there is a wide emission line of Fe
$K_\alpha$. The line profile with two maxima supposes that the line emerges in
innermost regions of an accretion disk around a black hole, hence, it is
necessary to take into account General Relativity (GR) effects. In order to
determine GR processes which occur in active galactic nuclei (AGN) an inverse
problem of reconstructing the accreting system parameters from the line profile
has to be solved quickly. In this paper we present a numerical approximation of
the emission line Fe $K_\alpha$ with analytical functions. The approximation is
accomplished for a range of the disk radial coordinate $r$ and the angle
$\theta$ between line of sight and perpendicular to the disk and allows one to
decrease computing time by $10^6$ times in certain astrophysical problems
taking into account all GR effects. The approximation results are available in
the Internet at http://www.iki.rssi.ru/people/repin/approx


title:
Radiative jet energy loss in a three-dimensional hydrodynamical medium
  and high $p_T$ azimuthal asymmetry of $\pi_0$ suppression at mid and forward
  rapidity at RHIC

abstract:
  The nuclear modification factor $R_{AA}$ for $\pi_0$ production in Au+Au
collisions at $\sqrt{s}=200$ AGeV is calculated, and studied at high transverse
momenta $p_T$. The soft thermalized nuclear medium is described within the
framework of relativistic ideal three-dimensional hydrodynamics. The energy
loss of partonic jets is evaluated in the context of gluon bremsstrahlung in
the thermalized partonic matter. We provide a systematic analysis of the
azimuthal asymmetry of $\pi_0$ suppression at high $p_T$ in central and
non-central collisions, at mid and forward rapidity. The determination of
$R_{AA}$ as a function of $p_T$, at different azimuthal angles, and different
rapidities makes for a stringent test of our theoretical understanding of jet
energy loss over a variety of in-medium path lengths, temperatures and initial
partonic jet energies. This lays the groundwork for a precise tomography of the
nuclear medium.


title:
Adjointability of densely defined closed operators and the
  Magajna-Schweizer Theorem

abstract:
  In this notes unbounded regular operators on Hilbert $C^*$-modules over
arbitrary $C^*$-algebras are discussed. A densely defined operator $t$
possesses an adjoint operator if the graph of $t$ is an orthogonal summand.
Moreover, for a densely defined operator $t$ the graph of $t$ is orthogonally
complemented and the range of $P_FP_{G(t)^\bot}$ is dense in its biorthogonal
complement if and only if $t$ is regular. For a given $C^*$-algebra $\mathcal
A$ any densely defined $\mathcal A$-linear closed operator $t$ between Hilbert
$C^*$-modules is regular, if and only if any densely defined $\mathcal
A$-linear closed operator $t$ between Hilbert $C^*$-modules admits a densely
defined adjoint operator, if and only if $\mathcal A$ is a $C^*$-algebra of
compact operators. Some further characterizations of closed and regular modular
operators are obtained.
  Changes 1: Improved results, corrected misprints, added references. Accepted
by J. Operator Theory, August 2007 / Changes 2: Filled gap in the proof of Thm.
3.1, changes in the formulations of Cor. 3.2 and Thm. 3.4, updated references
and address of the second author.


title:
Quadratic Algebra Approach to an Exactly Solvable Position-Dependent
  Mass Schr\"odinger Equation in Two Dimensions

abstract:
  An exactly solvable position-dependent mass Schr\"odinger equation in two
dimensions, depicting a particle moving in a semi-infinite layer, is
re-examined in the light of recent theories describing superintegrable
two-dimensional systems with integrals of motion that are quadratic functions
of the momenta. To get the energy spectrum a quadratic algebra approach is used
together with a realization in terms of deformed parafermionic oscillator
operators. In this process, the importance of supplementing algebraic
considerations with a proper treatment of boundary conditions for selecting
physical wavefunctions is stressed. Some new results for matrix elements are
derived. This example emphasizes the interest of a quadratic algebra approach
to position-dependent mass Schr\"odinger equations.


title: The strong Novikov conjecture for low degree cohomology

abstract:
  We show that for each discrete group G, the rational assembly map
  K_*(BG) \otimes Q \to K_*(C*_{max} G) \otimes \Q is injective on classes dual
to the subring generated by cohomology classes of degree at most 2 (identifying
rational K-homology and homology via the Chern character). Our result implies
homotopy invariance of higher signatures associated to these cohomology
classes. This consequence was first established by Connes-Gromov-Moscovici and
Mathai.
  Our approach is based on the construction of flat twisting bundles out of
sequences of almost flat bundles as first described in our previous work. In
contrast to the argument of Mathai, our approach is independent of (and indeed
gives a new proof of) the result of Hilsum-Skandalis on the homotopy invariance
of the index of the signature operator twisted with bundles of small curvature.


title:
Measuring the Capacitance of Individual Semiconductor Nanowires for
  Carrier Mobility Assessment

abstract:
  Capacitance-voltage characteristics of individual germanium nanowire field
effect transistors were directly measured and used to assess carrier mobility
in nanowires for the first time; thereby removing uncertainties in calculated
mobility due to device geometries, surface and interface states and gate
dielectric constants and thicknesses. Direct experimental evidence showed that
surround-gated nanowire transistors exhibit higher capacitance and better
electrostatic gate control than top-gated devices, and are the most promising
structure for future high performance nanoelectronics.


title: Quantum protocols for transference of proof of zero-knowledge systems

abstract:
  Zero-knowledge proof system is an important protocol that can be used as a
basic block for construction of other more complex cryptographic protocols. An
intrinsic characteristic of a zero-knowledge systems is the assumption that is
impossible for the verifier to show to a third part that he has interacted with
the prover. However, it has been shown that using quantum correlations the
impossibility of transferring proofs can be successfully attacked. In this work
we show two new protocols for proof transference, being the first one based on
teleportation and the second one without using entangled states.


title:
Un Resultat Gravimetrique pour la Renaissance de la Theorie
  Corpusculaire "An Experimental Gravimetric Result for the Revival of
  Corpuscular Theory"

abstract:
  The gravitational phenomenon, founded on the assumption of absorption of a
flux of gravitons through the matter, led to a law of attraction comprising a
term of attenuation of gravity. The attenuation effect, which depends on the
distribution of mass elements into the Sun, was compared with the relativistic
effect for the orbital elements of planets. The calculations carried out with
our modified law of Newton, lead to a perfect agreement for the advance of the
perihelion of planets, and give an interaction cross section with the matter of
3.2x10^-17 m2/kg (approximately 10^-40 cm2/nucleon). The effect of attenuation
during a solar eclipse will produce a local reduction in the soli-lunar
attraction of 0.13 microgal. This small variation of gravity during the eclipse
can lead to distortions of the geoid of about ten millimetres of which effect
on gravity, estimated at a few microgals, is compatible with the observed
gravitational anomalies. The gravimetric measurements taken in the area of
Montreal during the Sun eclipse of May 10, 1994, show the existence of an
anomaly of 2.4 microgals that coincides perfectly with the period of the
eclipse.


title:
Simulations of the Boundary Layer Between a White Dwarf and its
  Accretion Disk

abstract:
  Using a 2.5D time-dependent axisymmetric numerical code we recently
developed, we solve the full compressible Navier-Stokes equations (including an
alpha-viscosity prescription) to determine the structure of the boundary layer
between the white dwarf and the accretion disk in non-magnetic cataclysmic
varia ble systems. In this preliminary work, our numerical approach does not
include radiation. In the energy equation, we either take the dissipation
function (Phi) into account or we assumed that the energy is instantly radiated
away (Phi). For a slowly rotating non magnetized accreting white dwarf, the
accretion disk e xtends all the way to the stellar surface. There, the matter
impacts and spread s towards the poles as new matter continuously piles up
behind it. We carried out numerical simulations for different values of the
alpha viscosity parameter (alpha), corresponding to different mass accretion
rates. In the high viscosity cases (alpha=0.1), the spreading boundary layer
sets off a gravity wave in the s urface matter. The accretion flow moves
supersonically over the cusp making it s usceptible to the rapid development of
gravity wave and/or Kelvin-Helmholtz shea ring instabilities. This BL is
optically thick and extends more than 30 degrees to either side of the disk
plane after only 3/4 of a Keplerian rotation period (19s). In the low viscosity
cases (alpha=0.001), the spreading boundary layer does not set off gravity
waves and it is optically thin.


title:
Further results on entanglement detection and quantification from the
  correlation matrix criterion

abstract:
  The correlation matrix (CM) criterion is a recently derived powerful
sufficient condition for the presence of entanglement in bipartite quantum
states of arbitrary dimensions. It has been shown that it can be stronger than
the positive partial transpose (PPT) criterion, as well as the computable cross
norm or realignment (CCNR) criterion in different situations. However, it
remained as an open question whether there existed sets of states for which the
CM criterion could be stronger than both criteria simultaneously. Here, we give
an affirmative answer to this question by providing examples of entangled
states that scape detection by both the PPT and CCNR criteria whose
entanglement is revealed by the CM condition. We also show that the CM can be
used to measure the entanglement of pure states and obtain lower bounds for the
entanglement measure known as tangle for general (mixed) states.


title:
Constraints on the Abundance of Highly Ionized Proto-Cluster Regions
  from the Absence of Large Voids in the Lyman Alpha Forest

abstract:
  Energetic feedback processes during the formation of galaxy clusters may have
heated and ionized a large fraction of the intergalactic gas in proto-cluster
regions. When such a highly ionized hot ``super-bubble'' falls along the
sightline to a background quasar, it would be seen as a large void, with little
or no absorption, in the Lyman alpha forest. We examine the spectra of 137
quasars in the Sloan Digital Sky Survey, to search for such voids, and find no
clear evidence of their existence. The size distribution of voids in the range
5-70 Angstrom (corresponding to physical sizes of approximately 3-35 comoving
Mpc/h) is consistent with the standard model for the Lyman alpha forest without
additional hot bubbles. We adapt a physical model for HII bubble growth during
cosmological reionization (Furlanetto, Zaldarriaga and Hernquist 2004), to
describe the expected size-distribution of hot super-bubbles at redshift around
z = 3. This model incorporates the conjoining of bubbles around individual
neighboring galaxies. Using the non-detection of voids, we find that models in
which the volume filling factor of hot bubbles exceeds approximately 20 percent
at z=3 can be ruled out, primarily because they overproduce the number of large
(40-50 Angstrom) voids. We conclude that any pre-heating mechanism that
explains galaxy cluster observations must avoid heating the low-density gas in
the proto-cluster regions, either by operating relatively recently (z<3) or by
depositing entropy in the high-density regions.


title:
General Relativity Constraints the Proper Times and Predicts the Frozen
  Stars Instead of the Black Holes

abstract:
  In a static gravitational field an intersection of a worldline by a global
hypersurface of simultaneity t=const gives an invariant constraint relating the
proper time of this event by t. Since at any finite t the such constrained
proper time intervals are less than reqiured for crossing a horizon, general
relativity predicts the gravitational freezing of proper times in stars with
time-like or null geodesics everywhere. The time dilation stabilizes
contracting massive stars by freezing, which is maximal but finite at the
centre, and the surface is frozen near the gravitational radius. The frozen
stars (frozars) slowly defrost due to emissions and external interactions, the
internal phase transitions can initiate refreezing with bursts and explosions.


title:
Universality in scattering by large-scale potential fluctuations in
  two-dimensional conductors

abstract:
  We study electron propagation through a random array of rare, opaque and
large (compared the de Broglie wavelength of electrons) scatterers. It is shown
that for any convex scatterer the ratio of the transport to quantum lifetimes
\eta=\tau_{tr}/\tau_{tot}$ does not depend on the shape of the scatterer but
only on whether scattering is specular or diffuse and on the spatial
dimensionality (D). In particular, for specular scattering, \eta is a universal
constant determined only by the dimensionality of the system: \eta = 2 for D =
3 and \eta = 3/2 for D = 2. The crossover between classical and quantum regimes
of scattering is discussed.


title: Isospin mixing in a particle-number conserving microscopic approach

abstract:
  We calculate the isospin-mixing parameter for several Tz=-1, Tz=0 and Tz=1
nuclei from Mg to Sn in the particle-number conserving Higher Tamm-Dancoff
approach taking into account the pairing correlations. In particular we
investigate the role of the Coulomb interaction and the |Tz|=1 pairing
correlations. To do so the HTDA approach is implemented with the SIII Skyrme
effective nucleon-nucleon interaction in the mean-field channel and a delta
interaction in the pairing channel. We conclude from this investigation that
the pairing correlations bring a large contribution to isospin-symmetry
breaking, whereas the Coulomb interaction turns out to play a less important
role. Moreover we find that the isospin-mixing parameters for Tz=-1 and Tz=1
nuclei are comparable while they are about twice as large for Tz=0 nuclei
(between 3% and 6%, including doubly magic nuclei).


title:
Gamma-ray probe of cosmic-ray pressure in galaxy clusters and
  cosmological implications

abstract:
  Cosmic rays produced in cluster accretion and merger shocks provide pressure
to the intracluster medium (ICM) and affect the mass estimates of galaxy
clusters. Although direct evidence for cosmic-ray ions in the ICM is still
lacking, they produce gamma-ray emission through the decay of neutral pions
produced in their collisions with ICM nucleons. We investigate the capability
of the Gamma-ray Large Area Space Telescope (GLAST) and imaging atmospheric
Cerenkov telescopes (IACTs) for constraining the cosmic-ray pressure
contribution to the ICM. We show that GLAST can be used to place stringent
upper limits, a few per cent for individual nearby rich clusters, on the ratio
of pressures of the cosmic rays and thermal gas. We further show that it is
possible to place tight (<~10%) constraints for distant (z <~ 0.25) clusters in
the case of hard spectrum, by stacking signals from samples of known clusters.
The GLAST limits could be made more precise with the constraint on the
cosmic-ray spectrum potentially provided by IACTs. Future gamma-ray
observations of clusters can constrain the evolution of cosmic-ray energy
density, which would have important implications for cosmological tests with
upcoming X-ray and Sunyaev-Zel'dovich effect cluster surveys.


title: Observations of Microwave Continuum Emission from Air Shower Plasmas

abstract:
  We investigate a possible new technique for microwave measurements of
ultra-high energy cosmic ray (UHECR) extensive air showers which relies on
detection of expected continuum radiation in the microwave range, caused by
free-electron collisions with neutrals in the tenuous plasma left after the
passage of the shower. We performed an initial experiment at the AWA (Argonne
Wakefield Accelerator) laboratory in 2003 and measured broadband microwave
emission from air ionized via high energy electrons and photons. A follow-up
experiment at SLAC (Stanford Linear Accelerator Center) in summer of 2004
confirmed the major features of the previous AWA observations with better
precision and made additional measurements relevant to the calorimetric
capabilities of the method. Prompted by these results we built a prototype
detector using satellite television technology, and have made measurements
indicating possible detection of cosmic ray extensive air showers. The method,
if confirmed by experiments now in progress, could provide a high-duty cycle
complement to current nitrogen fluorescence observations of UHECR, which are
limited to dark, clear nights. By contrast, decimeter microwave observations
can be made both night and day, in clear or cloudy weather, or even in the
presence of moderate precipitation.


title: Constraining Radiatively Inefficient Accretion Flows with Polarization

abstract:
  The low-luminosity black hole Sgr A* provides a testbed for models of
Radiatively Inefficient Accretion Flows (RIAFs). Recent sub-millimeter linear
polarization measurements of Sgr A* have provided evidence that the electrons
in the accretion flow are relativistic over a large range of radii. Here, we
show that these high temperatures result in elliptical plasma normal modes.
Thus, polarized millimeter and sub-millimeter radiation emitted within RIAFs
will undergo generalized Faraday rotation, a cyclic conversion between linear
and circular polarization. This effect will not depolarize the radiation even
if the rotation measure is extremely high. Rather, the beam will take on the
linear and circular polarization properties of the plasma normal modes. As a
result, polarization measurements of Sgr A* in this frequency regime will
constrain the temperature, density and magnetic profiles of RIAF models.


title: Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions

abstract:
  We study the consequences of in-plane (D_p) and out-of-plane (D_z)
Dzyaloshinsky-Moriya (DM) interactions on the thermodynamic properties of
spin-1/2} Heisenberg model on the kagome lattice using numerical linked cluster
expansions and exact diagonalization, and contrast them with those of other
perturbations such as exchange anisotropy and dilution. We find that different
combinations of the DM anisotropies lead to a wide variety of thermodynamic
behavior, which are quite distinct from those of most other perturbations. We
argue that the sudden upturn seen experimentally in the susceptibility of the
material ZnCu3(OH)6Cl2 can be understood in terms of Dzyaloshinsky-Moriya
anisotropies with D_p>|D_z|. We also show that the measured specific heat of
the material puts further constraints on the allowed DM parameters.


title: Incoherent non-Fermi liquid scattering in a Kondo lattice

abstract:
  One of the most notorious non-Fermi liquid properties of both archetypal
heavy-fermion systems [1-4] and the high-Tc copper oxide superconductors [5] is
an electrical resistivity that evolves linearly with temperature, T. In the
heavy-fermion superconductor CeCoIn5 [5], this linear behaviour was one of the
first indications of the presence of a zero-temperature instability, or quantum
critical point. Here, we report the observation of a unique control parameter
of T-linear scattering in CeCoIn5, found through systematic chemical
substitutions of both magnetic and non-magnetic rare-earth, R, ions into the Ce
sub-lattice. We find that the evolution of inelastic scattering in Ce1-xRxCoIn5
is strongly dependent on the f-electron configuration of the R ion, whereas two
other key properties -- Cooper-pair breaking and Kondo-lattice coherence -- are
not. Thus, T-linear resistivity in CeCoIn5 is intimately related to the nature
of incoherent scattering centers in the Kondo lattice, which provides insight
into the anomalous scattering rate synonymous with quantum criticality [7].


title: Inclusive Jet Cross-section measurement at CDF

abstract:
  Results on inclusive jet production in proton-antiproton collisions at
sqrt(s) =1.96 TeV based on 1 fb-1 of CDF Run II data are presented.
Measurements are preformed using the k_T algorithm in a wide range of jet
transverse momentum and jet rapidity. The measured cross sections are compared
to next-to-leading order perturbative QCD calculations.


title: Molecular Spiders in One Dimension

abstract:
  Molecular spiders are synthetic bio-molecular systems which have "legs" made
of short single-stranded segments of DNA. Spiders move on a surface covered
with single-stranded DNA segments complementary to legs. Different mappings are
established between various models of spiders and simple exclusion processes.
For spiders with simple gait and varying number of legs we compute the
diffusion coefficient; when the hopping is biased we also compute their
velocity.


title:
Detecting atmospheric neutrino oscillations in the ATLAS detector at
  CERN

abstract:
  We discuss the possibility to study oscillations of atmospheric neutrinos in
the ATLAS experiment at CERN. Due to the large total detector mass, a
significant number of events is expected, and during the shutdown phases of the
LHC, reconstruction of these events will be possible with very good energy and
angular resolutions, and with charge identification. We argue that 500 live
days of neutrino running could be achieved, and that a total of ~160 contained
\nu_\mu events and ~360 upward going muons could be collected during this time.
Despite the low statistics, the excellent detector resolution will allow for an
unambiguous confirmation of atmospheric neutrino oscillations and for
measurements of the leading oscillation parameters. Though our detailed
simulations show that the sensitivity of ATLAS is worse than that of dedicated
neutrino experiments, we demonstrate that more sophisticated detectors, e.g. at
the ILC, could be highly competitive with upcoming superbeam experiments, and
might even give indications for the mass hierarchy and for the value of
theta-13.


title: Molecular Spiders with Memory

abstract:
  Synthetic bio-molecular spiders with "legs" made of single-stranded segments
of DNA can move on a surface which is also covered by single-stranded segments
of DNA complementary to the leg DNA. In experimental realizations, when a leg
detaches from a segment of the surface for the first time it alters that
segment, and legs subsequently bound to these altered segments more weakly.
Inspired by these experiments we investigate spiders moving along a
one-dimensional substrate, whose legs leave newly visited sites at a slower
rate than revisited sites. For a random walk (one-leg spider) the slowdown does
not effect the long time behavior. For a bipedal spider, however, the slowdown
generates an effective bias towards unvisited sites, and the spider behaves
similarly to the excited walk. Surprisingly, the slowing down of the spider at
new sites increases the diffusion coefficient and accelerates the growth of the
number of visited sites.


title: Adelic resolution for homology sheaves

abstract:
  A generalization of the usual ideles group is proposed, namely, we construct
certain adelic complexes for sheaves of $K$-groups on schemes. More generally,
such complexes are defined for any abelian sheaf on a scheme. We focus on the
case when the sheaf is associated to the presheaf of a homology theory with
certain natural axioms, satisfied by $K$-theory. In this case it is proven that
the adelic complex provides a flasque resolution for the above sheaf and that
the natural morphism to the Gersten complex is a quasiisomorphism. The main
advantage of the new adelic resolution is that it is contravariant and
multiplicative in contrast to the Gersten resolution. In particular, this
allows to reprove that the intersection in Chow groups coincides up to sign
with the natural product in the corresponding $K$-cohomology groups. Also, we
show that the Weil pairing can be expressed as a Massey triple product in
$K$-cohomology groups with certain indices.


title: SuperWASP-N Extra-solar Planet Candidates Between 18hr < RA < 21hr

abstract:
  The SuperWASP-I instrument observed 6.7 million stars between 8-15 mag from
La Palma during the 2004 May-September season. Our transit-hunting algorithm
selected 11,626 objects from the 184,442 stars within the range RA 18hr-21hr.
We describe our thorough selection procedure whereby catalogue information is
exploited along with careful study of the SuperWASP data to filter out, as far
as possible, transit mimics. We have identified 35 candidates which we
recommend for follow-up observations.


title:
Quantum propagator for some classes of three-dimensional three-body
  systems

abstract:
  In this work we solve exactly a class of three-body propagators for the most
general quadratic interactions in the coordinates, for arbitrary masses and
couplings. This is done both for the constant as the time-dependent couplings
and masses, by using the Feynman path integral formalism. Finally the energy
spectrum and the eigenfunctions are recovered from the propagators.


title: Thickness Dependence of the Reorientation Phase Transition

abstract:
  This report examines the thickness dependence of the reorientation phase
transition in ferromagnetic films with perpendicular anisotropy. That is, we
find the exact boundary of metastability of uniformly magnetized in-plane
states as the solution to a set of transcendental algebraic equations, and find
the profile of the initial instability in the magnetization in the direction
normal to the plane of the film. In general, this instability occurs at a
finite wave number k. We determine the dependence of k on the film thickness.


title: Predicting and Understanding Order of Heteroepitaxial Quantum Dots

abstract:
  Heteroepitaxial self-assembled quantum dots (SAQDs) will allow breakthroughs
in electronics and optoelectronics. SAQDs are a result of Stranski-Krastanow
growth whereby a growing planar film becomes unstable after an initial wetting
layer is formed. Common systems are Ge$_{x}$Si$_{1-x}$/Si and
In$_{x}$Ga$_{1-x}$As/GaAs. For applications, SAQD arrays need to be ordered.
The role of crystal anisotropy, random initial conditions and thermal
fluctuations in influencing SAQD order during early stages of SAQD formation is
studied through a simple stochastic model of surface diffusion. Surface
diffusion is analyzed through a linear and perturbatively nonlinear analysis.
The role of crystal anisotropy in enhancing SAQD order is elucidated. It is
also found that SAQD order is enhanced when the deposited film is allowed to
evolve at heights near the critical wetting surface height that marks the onset
of non-planar film growth.


title: Physical and Spectral Characteristics of the T8 and Later-Type Dwarfs

abstract:
  We use new and published near-IR spectra, with synthetic spectra, to derive
physical properties of three of the latest-type T dwarfs. A new R~1700 spectrum
of the T7.5 dwarf HD 3651B, with existing data, allows a detailed comparison to
the well-studied and very similar dwarf, Gl 570D. We find that HD 3651B has
both higher gravity and metallicity than Gl 570D, with Teff=820-830K, log g=
5.4-5.5, [m/H]= +0.2 and Kzz=10^4cm^2/s. Its age is 8-12 Gyr and its implied
mass is 60-70 M_Jup. We perform a similar analyis of the T8 and T7.5 dwarfs
2MASS J09393548-2448279 and 2MASS J11145133-2618235 using published data,
comparing them to the well-studied T8, 2MASS J04151954-0935066. We find that
the two dwarfs have the same Teff as the reference dwarf, and similar
gravities, but lower metallicities. The parameters are Teff=725-775K and [m/H]=
-0.3; log g=5.3-5.45 for 2MASS J09393548-2448279 and log g=5.0-5.3 for 2MASS
J11145133- 261823. The age and mass are ~10Gyr and 60M_Jup for 2MASS
J09393548-2448279, and ~5 Gyr and 40M_Jup for 2MASS J11145133-261823. A serious
limitation is the incompleteness of the line lists of CH4 and NH3 at lambda
<1.7um. Spectra of Saturn and Jupiter, and of laboratory CH4 and NH3 gas,
suggest that NH3 features in the Y- and J-bands may be useful as indicators of
the next cooler spectral type, and not features in the H- and K-bands as
previously thought. However large uncertainties remain, as the abundance of NH3
is likely to be significantly below the chemical equilibrium value, and
inclusion of laboratory NH3 opacities predicts band shapes that are discrepant
with existing data. It is possible that the T spectral class will have to be
extended to low temperatures around 400K, when water clouds condense in the
atmosphere [abridged].


title:
SuperWASP-North Extrasolar Planet Candidates. Candidates from Fields
  17hr < RA < 18hr

abstract:
  We have performed photometric observations of nearly 7 million stars with 8 <
V < 15 with the SuperWASP-North instrument from La Palma between 2004
May-September. Fields in the RA range 17-18hr, yielding over 185,000 stars with
sufficient quality data, have been searched for transits using a modified box
least-squares (BLS) algorithm. We find a total of 58 initial transiting
candidates which have high S/N in the BLS, show multiple transit-like dips and
have passed visual inspection. Analysis of the blending and inferred planetary
radii for these candidates leaves a total of 7 transiting planet candidates
which pass all the tests plus 4 which pass the majority. We discuss the derived
parameters for these candidates and their properties and comment on the
implications for future transit searches.


title: Computational Intelligence for Condition Monitoring

abstract:
  Condition monitoring techniques are described in this chapter. Two aspects of
condition monitoring process are considered: (1) feature extraction; and (2)
condition classification. Feature extraction methods described and implemented
are fractals, Kurtosis and Mel-frequency Cepstral Coefficients. Classification
methods described and implemented are support vector machines (SVM), hidden
Markov models (HMM), Gaussian mixture models (GMM) and extension neural
networks (ENN). The effectiveness of these features were tested using SVM, HMM,
GMM and ENN on condition monitoring of bearings and are found to give good
results.


title:
Sample eigenvalue based detection of high dimensional signals in white
  noise using relatively few samples

abstract:
  We present a mathematically justifiable, computationally simple, sample
eigenvalue based procedure for estimating the number of high-dimensional
signals in white noise using relatively few samples. The main motivation for
considering a sample eigenvalue based scheme is the computational simplicity
and the robustness to eigenvector modelling errors which are can adversely
impact the performance of estimators that exploit information in the sample
eigenvectors.
  There is, however, a price we pay by discarding the information in the sample
eigenvectors; we highlight a fundamental asymptotic limit of sample eigenvalue
based detection of weak/closely spaced high-dimensional signals from a limited
sample size. This motivates our heuristic definition of the effective number of
identifiable signals which is equal to the number of "signal" eigenvalues of
the population covariance matrix which exceed the noise variance by a factor
strictly greater than 1+sqrt(Dimensionality of the system/Sample size). The
fundamental asymptotic limit brings into sharp focus why, when there are too
few samples available so that the effective number of signals is less than the
actual number of signals, underestimation of the model order is unavoidable (in
an asymptotic sense) when using any sample eigenvalue based detection scheme,
including the one proposed herein. The analysis reveals why adding more sensors
can only exacerbate the situation. Numerical simulations are used to
demonstrate that the proposed estimator consistently estimates the true number
of signals in the dimension fixed, large sample size limit and the effective
number of identifiable signals in the large dimension, large sample size limit.


title: Gauging hidden symmetries in two dimensions

abstract:
  We initiate the systematic construction of gauged matter-coupled supergravity
theories in two dimensions. Subgroups of the affine global symmetry group of
toroidally compactified supergravity can be gauged by coupling vector fields
with minimal couplings and a particular topological term. The gauge groups
typically include hidden symmetries that are not among the target-space
isometries of the ungauged theory. The possible gaugings are described
group-theoretically in terms of a constant embedding tensor subject to a number
of constraints which parametrizes the different theories and entirely encodes
the gauged Lagrangian.
  The prime example is the bosonic sector of the maximally supersymmetric
theory whose ungauged version admits an affine E_9 global symmetry algebra. The
various parameters (related to higher-dimensional p-form fluxes, geometric and
non-geometric fluxes, etc.) which characterize the possible gaugings, combine
into an embedding tensor transforming in the basic representation of E_9. This
yields an infinite-dimensional class of maximally supersymmetric theories in
two dimensions. We work out and discuss several examples of higher-dimensional
origin which can be systematically analyzed using the different gradings of
E_9.


title:
Selection Against Demographic Stochasticity in Age-Structured
  Populations

abstract:
  It has been shown that differences in fecundity variance can influence the
probability of invasion of a genotype in a population, i.e. a genotype with
lower variance in offspring number can be favored in finite populations even if
it has a somewhat lower mean fitness than a competitor. In this paper,
Gillespie's results are extended to population genetic systems with explicit
age structure, where the demographic variance (variance in growth rate)
calculated in the work of Engen and colleagues is used as a generalization of
"variance in offspring number" to predict the interaction between deterministic
and random forces driving change in allele frequency. By calculating the
variance from the life history parameters, it is shown that selection against
variance in the growth rate will favor a genotypes with lower stochasticity in
age specific survival and fertility rates. A diffusion approximation for
selection and drift in a population with two genotypes with different life
history matrices (and therefore, different growth rates and demographic
variances) is derived and shown to be consistent with individual based
simulations. It is also argued that for finite populations, perturbation
analyses of both the growth rate and demographic variances may be necessary to
determine the sensitivity of "fitness" (broadly defined) to changes in the life
history parameters.


title:
On the Selmer groups of abelian varieties over function fields of
  characteristic p>0

abstract:
  In this paper, we study a (p-adic) geometric analogue for abelian varieties
over a function field of characteristic p of the cyclotomic Iwasawa theory and
the non-commutative Iwasawa theory for abelian varieties over a number field
initiated by Mazur and Coates respectively. We will prove some analogue of the
principal results obtained in the case over a number field and we study new
phenomena which did not happen in the case of number field case. We propose
also a conjecture which might be considered as a counterpart of the principal
conjecture in the case over a number field. \par This is a preprint which is
distributed since 2005 which is still in the process of submision. Following a
recent modification of some technical mistakes in the previous version of the
paper as well as an amelioration of the presentation of the paper, we decide
wider distribution via the archive.


title:
On one master integral for three-loop on-shell HQET propagator diagrams
  with mass

abstract:
  An exact expression for the master integral I_2 arising in three-loop
on-shell HQET propagator diagrams with mass is derived and its analytical
expansion in the dimensional regularization parameter epsilon is given.


title: Mass Limits on Neutralino Dark Matter

abstract:
  We set an upper limit on the mass of a supersymmetric neutralino dark matter
particle using the MicrOMEGAS and DarkSUSY software packages and the most
recent constraints on relic density from combined WMAP and SDSS data. We
explore several different possible scenarios within the MSSM, including
coannihilation with charginos and sfermions and annihilation through a massive
Higgs resonance, using low energy mass inputs. We find that no coannihilation
scenario is consistent with dark matter in observed abundance with a mass
greater than 2.5 TeV for a wino--type particle or 1.8 TeV for a Higgsino--type.
Contrived scenarios involving Higgs resonances with finely--tuned mass
parameters can allow masses as high as 34 TeV. The resulting gamma--ray energy
distribution is not in agreement with the recent multi--TeV gamma ray spectrum
observed by H.E.S.S. originating from the center of the Milky Way. Our results
are relevent only for dark matter densities resulting from a thermal origin.


title:
How does Casimir energy fall? II. Gravitational acceleration of quantum
  vacuum energy

abstract:
  It has been demonstrated that quantum vacuum energy gravitates according to
the equivalence principle, at least for the finite Casimir energies associated
with perfectly conducting parallel plates. We here add further support to this
conclusion by considering parallel semitransparent plates, that is,
delta-function potentials, acting on a massless scalar field, in a spacetime
defined by Rindler coordinates (tau,x,y,xi). Fixed xi in such a spacetime
represents uniform acceleration. We calculate the force on systems consisting
of one or two such plates at fixed values of xi. In the limit of large Rindler
coordinate xi (small acceleration), we recover (via the equivalence principle)
the situation of weak gravity, and find that the gravitational force on the
system is just Mg, where g is the gravitational acceleration and M is the total
mass of the system, consisting of the mass of the plates renormalized by the
Casimir energy of each plate separately, plus the energy of the Casimir
interaction between the plates. This reproduces the previous result in the
limit as the coupling to the delta-function potential approaches infinity.


title:
Theory of Supercoupling, Squeezing Wave Energy, and Field Confinement in
  Narrow Channels and Tight Bends Using Epsilon-Near-Zero Metamaterials

abstract:
  In this work, we investigate the detailed theory of the supercoupling,
anomalous tunneling effect, and field confinement originally identified in [M.
Silveirinha, N. Engheta, Phys. Rev. Lett. 97, 157403, (2006)], where we
demonstrated the possibility of using materials with permittivity near zero to
drastically improve the transmission of electromagnetic energy through a narrow
irregular channel with very subwavelength transverse cross-section. Here, we
present additional physical insights, describe new applications of the
tunneling effect in relevant waveguide scenarios (e.g., the "perfect" or
"super" waveguide coupling), study the effect of metal losses in the metallic
walls, and the possibility of using epsilon-near zero materials to confine
energy in a subwavelength cavity with gigantic field enhancement. In addition,
we systematically study the propagation of electromagnetic waves through narrow
channels filled with anisotropic epsilon-near zero materials. It is
demonstrated that these materials may have interesting potentials, and that for
some particular geometries the reflectivity of the channel is independent of
the specific dimensions or parameters of epsilon-near zero transition. We also
describe several realistic metamaterial implementations of the studied
problems, based on standard metallic waveguides, microstrip line
configurations, and wire media.


title:
Bipartite all-versus-nothing proofs of Bell's theorem with single-qubit
  measurements

abstract:
  If we distribute n qubits between two parties, which quantum pure states and
distributions of qubits would allow all-versus-nothing (or
Greenberger-Horne-Zeilinger-like) proofs of Bell's theorem using only
single-qubit measurements? We show a necessary and sufficient condition for the
existence of these proofs for any number of qubits, and provide all distinct
proofs up to n=7 qubits. Remarkably, there is only one distribution of a state
of n=4 qubits, and six distributions, each for a different state of n=6 qubits,
which allow these proofs.


title: Brain Prostheses as a Dynamic System (Immortalizing the Human Brain?)

abstract:
  Interest in development of brain prostheses, which might be proposed to
recover mental functions lost due to neuron-degenerative disease or trauma,
requires new methods in molecular engineering and nanotechnology to build
artificial brain tissues. We develop a Dynamic Core model to analyze complexity
of damaged biological neural network as well as transition and recovery of the
system functionality due to changes in the system environment. We provide a
method to model complexity of physical systems which might be proposed as an
artificial tissue or prosthesis. Delocalization of Dynamic Core model is
developed to analyze migration of mental functions in dynamic bio-systems which
undergo architecture transition induced by trauma. Term Dynamic Core is used to
define a set of causally related functions and Delocalization is used to
describe the process of migration. Information geometry and topological
formalisms are proposed to analyze information processes. A holographic model
is proposed to construct dynamic environment with self-poetic Dynamic Core
which preserve functional properties under transition from one host to another.
We found statistical constraints for complex systems which conserve a Dynamic
Core under environment transition. Also we suggest those constraints might
provide recommendations for nanotechnologies and tissue engineering used in
development of an artificial brain tissue.


title:
Effects of Rattling Phonons on the Quasiparticle Excitation and Dynamics
  in the Superconducting $\beta$-Pyrochlore KOs$_2$O$_6$

abstract:
  Microwave penetration depth $\lambda$ and surface resistance at 27 GHz are
measured in high quality crystals of KOs$_2$O$_6$. Firm evidence for
fully-gapped superconductivity is provided from $\lambda(T)$. Below the second
transition at $T_{\rm p}\sim 8$ K, the superfluid density shows a step-like
change with a suppression of effective critical temperature $T_{\rm c}$.
Concurrently, the extracted quasiparticle scattering time shows a steep
enhancement, indicating a strong coupling between the anomalous rattling motion
of K ions and quasiparticles. The results imply that the rattling phonons help
to enhance superconductivity, and that K sites freeze to an ordered state with
long quasiparticle mean free path below $T_{\rm p}$.


title: The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges

abstract:
  We compute the (three) master integrals for the crossed ladder diagram with
two exchanged quanta of equal mass. The differential equations obeyed by the
master integrals are used to generate power series expansions centered around
all the singular (plus some regular) points, which are then matched numerically
with high accuracy. The expansions allow a fast and precise numerical
calculation of the three master integrals (better than 15 digits with less than
30 terms in the whole real axis). A conspicuous relation with the equal-mass
sunrise in two dimensions is found. Comparison with a previous large momentum
expansion is made finding complete agreement.


title:
Note on color neutral solutions of the $K^0$ condensed color-flavor
  locked phase

abstract:
  In the presence of nonzero strange quark mass $m_s$, we investigate color
neutrality in the $K^0$ condensed phase of color-flavor locked quark matter. By
treating the $m_s$ effects on both kaon condensate and Fermi-surface phenomenon
self-consistently, we develop a new treatment to evaluate color neutral
solutions within the model-independent framework. It is pointed out that, in
the general sense, the expectation values of gluon fields obtained from
dynamics of Goldstone bosons solely are not identified with the factual color
chemical potentials.


title: Coalescence of particles by differential sedimentation

abstract:
  We consider a three dimensional system consisting of a large number of small
spherical particles, distributed in a range of sizes and heights (with uniform
distribution in the horizontal direction). Particles move vertically at a
size-dependent terminal velocity. They are either allowed to merge whenever
they cross or there is a size ratio criterion enforced to account for collision
efficiency. Such a system may be described, in mean field approximation, by the
Smoluchowski kinetic equation with a differential sedimentation kernel, used to
study e.g. rain initiation and particle distributions in the atmosphere. We
solve the kinetic equation analytically to obtain steady state and self-similar
solutions in time and in height, using methods borrowed from weak turbulence
theory. Analytical results are compared with direct numerical simulations (DNS)
of moving and merging particles, and a good agreement is found.


title: The Transition Zone in Balmer-Dominated Shocks

abstract:
  We examine the structure of the post-shock region in supernova remnants
(SNRs). The ``shock transition zone'' is set up by charge transfer and
ionization events between atoms and ions, and has a width $\sim 10^{15}$
cm$^{-2}$ $n^{-1}_0$, where $n_0$ is the total pre-shock density (including
both atoms and ions). For Balmer-dominated SNRs with shock velocity $v_s
\gtrsim 1000$ km s$^{-1}$, the Rankine-Hugoniot conditions for ion velocity and
temperature are obeyed instantly, leaving the full width at half-maximum (FWHM)
of the broad H$\alpha$ line versus $v_s$ relation intact. However, the spatial
variation in the post-shock densities is relevant to the problem of Ly$\alpha$
resonant scattering in young, core-collapse SNRs. Both two- (pre-shock atoms
and ions) and three-component (pre-shock atoms, broad neutrals and ions) models
are considered. We compute the spatial emissivities of the broad ($\xi_b$) and
narrow ($\xi_n$) H$\alpha$ lines; a calculation of these emissivities in SN
1006 is in general agreement with the computed ones of Raymond et al. (2007).
The (dimensionless) spatial shift, $\Theta_{\rm{shift}}$, between the centroids
of $\xi_b$ and $\xi_n$ is unique for a given shock velocity and $f_{\rm{ion}}$,
the pre-shock ion fraction. Measurements of $\Theta_{\rm{shift}}$ can be used
to constrain $n_0$.


title: Homotopy groups of Hom complexes of graphs

abstract:
  The notion of $\times$-homotopy from \cite{DocHom} is investigated in the
context of the category of pointed graphs. The main result is a long exact
sequence that relates the higher homotopy groups of the space $\Hom_*(G,H)$
with the homotopy groups of $\Hom_*(G,H^I)$. Here $\Hom_*(G,H)$ is a space
which parametrizes pointed graph maps from $G$ to $H$ (a pointed version of the
usual $\Hom$ complex), and $H^I$ is the graph of based paths in $H$. As a
corollary it is shown that $\pi_i \big(\Hom_*(G,H) \big) \cong [G,\Omega^i
H]_{\times}$, where $\Omega H$ is the graph of based closed paths in $H$ and
$[G,K]_{\times}$ is the set of $\times$-homotopy classes of pointed graph maps
from $G$ to $K$. This is similar in spirit to the results of \cite{BBLL}, where
the authors seek a space whose homotopy groups encode a similarly defined
homotopy theory for graphs. The categorical connections to those constructions
are discussed.


title: Decay constants of $P$-wave mesons

abstract:
  Decay constants of $P$-wave mesons are computed in the framework of
instantaneous Bethe-Salpeter method (Salpeter method). By analyzing the parity
and possible charge conjugation parity, we give the relativistic configurations
of wave functions with definite parity and possible charge conjugation parity.
With these wave functions as input, the full Salpeter equations for different
$P$-wave states are solved, and the mass spectra as well as the numerical
values of wave functions are obtained. Finally we compute the leptonic decay
constants of heavy-heavy and heavy-light $^3P_0$, $^3P_1$ and $^1P_1$ states.


title: Unparticle physics in e^+ e^- annihilation

abstract:
  In the recent past,unparticle physics effects have been explored in detail in
both the fermionic and bosonic sectors. We have used fermionic unparticles to
study the cross-section of electron-positron annihilation to light
pseudo-scalar meson pairs e^+e^- ->PP. We show that this cross-section is
sensitive to the scaling dimension d_U<1.4.


title: Densely ordered braid subgroups

abstract:
  Dehornoy showed that the Artin braid groups $B_n$ are left-orderable. This
ordering is discrete, but we show that, for $n >2$ the Dehornoy ordering, when
restricted to certain natural subgroups, becomes a dense ordering. Among
subgroups which arise are the commutator subgroup and the kernel of the Burau
representation (for those $n$ for which the kernel is nontrivial). These
results follow from a characterization of least positive elements of any normal
subgroup of $B_n$ which is discretely ordered by the Dehornoy ordering.


title:
Elimination of negative differential conductance in an asymmetric
  molecular transistor by an ac-voltage

abstract:
  We analyze resonant tunneling subject to a non-adiabatic time-dependent
bias-voltage through an asymmetric single molecular quantum dot with coupling
between the electronic and vibrational degrees of freedom using a {\em
Tien-Gordon-type} rate equation. Our results clearly exhibit the appearance of
photon-assisted satellites in the current-voltage characteristics and the
elimination of hot-phonon-induced negative differential conductance with
increasing ac driving amplitude for an asymmetric system. This can be ascribed
to an {\em ac-induced suppression} of unequilibrated (hot) phonons in an
asymmetric system.


title:
Boundary Regularity for Conformally Compact Einstein Metrics in Even
  Dimensions

abstract:
  We study boundary regularity for conformally compact Einstein metrics in even
dimensions by generalizing the ideas of Michael Anderson. Our method of
approach is to view the vanishing of the Ambient Obstruction tensor as an nth
order system of equations for the components of a compactification of the given
metric. This, together with boundary conditions that the compactification is
shown to satisfy provide enough information to apply classical boundary
regularity results. These results then provide local and global versions of
finite boundary regularity for the components of the compactification.


title:
Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in
  hypre and PETSc

abstract:
  We describe our software package Block Locally Optimal Preconditioned
Eigenvalue Xolvers (BLOPEX) publicly released recently. BLOPEX is available as
a stand-alone serial library, as an external package to PETSc (``Portable,
Extensible Toolkit for Scientific Computation'', a general purpose suite of
tools for the scalable solution of partial differential equations and related
problems developed by Argonne National Laboratory), and is also built into {\it
hypre} (``High Performance Preconditioners'', scalable linear solvers package
developed by Lawrence Livermore National Laboratory). The present BLOPEX
release includes only one solver--the Locally Optimal Block Preconditioned
Conjugate Gradient (LOBPCG) method for symmetric eigenvalue problems. {\it
hypre} provides users with advanced high-quality parallel preconditioners for
linear systems, in particular, with domain decomposition and multigrid
preconditioners. With BLOPEX, the same preconditioners can now be efficiently
used for symmetric eigenvalue problems. PETSc facilitates the integration of
independently developed application modules with strict attention to component
interoperability, and makes BLOPEX extremely easy to compile and use with
preconditioners that are available via PETSc. We present the LOBPCG algorithm
in BLOPEX for {\it hypre} and PETSc. We demonstrate numerically the scalability
of BLOPEX by testing it on a number of distributed and shared memory parallel
systems, including a Beowulf system, SUN Fire 880, an AMD dual-core Opteron
workstation, and IBM BlueGene/L supercomputer, using PETSc domain decomposition
and {\it hypre} multigrid preconditioning. We test BLOPEX on a model problem,
the standard 7-point finite-difference approximation of the 3-D Laplacian, with
the problem size in the range $10^5-10^8$.


title:
Experimental Demonstration of Post-Selection based Continuous Variable
  Quantum Key Distribution in the Presence of Gaussian Noise

abstract:
  In realistic continuous variable quantum key distribution protocols, an
eavesdropper may exploit the additional Gaussian noise generated during
transmission to mask her presence. We present a theoretical framework for a
post-selection based protocol which explicitly takes into account excess
Gaussian noise. We derive a quantitative expression of the secret key rates
based on the Levitin and Holevo bounds. We experimentally demonstrate that the
post-selection based scheme is still secure against both individual and
collective Gaussian attacks in the presence of this excess noise.


title: Resonance between Cantor sets

abstract:
  Let $C_a$ be the central Cantor set obtained by removing a central interval
of length $1-2a$ from the unit interval, and continuing this process
inductively on each of the remaining two intervals. We prove that if $\log
b/\log a$ is irrational, then \[ \dim(C_a+C_b) = \min(\dim(C_a) + \dim(C_b),1),
\] where $\dim$ is Hausdorff dimension. More generally, given two self-similar
sets $K,K'$ in $\RR$ and a scaling parameter $s>0$, if the dimension of the
arithmetic sum $K+sK'$ is strictly smaller than $\dim(K)+\dim(K') \le 1$
(``geometric resonance''), then there exists $r<1$ such that all contraction
ratios of the similitudes defining $K$ and $K'$ are powers of $r$ (``algebraic
resonance''). Our method also yields a new result on the projections of planar
self-similar sets generated by an iterated function system that includes a
scaled irrational rotation.


title: Dual Computations of Non-abelian Yang-Mills on the Lattice

abstract:
  In the past several decades there have been a number of proposals for
computing with dual forms of non-abelian Yang-Mills theories on the lattice.
Motivated by the gauge-invariant, geometric picture offered by dual models and
successful applications of duality in the U(1) case, we revisit the question of
whether it is practical to perform numerical computation using non-abelian dual
models. Specifically, we consider three-dimensional SU(2) pure Yang-Mills as an
accessible yet non-trivial case in which the gauge group is non-abelian. Using
methods developed recently in the context of spin foam quantum gravity, we
derive an algorithm for efficiently computing the dual amplitude and describe
Metropolis moves for sampling the dual ensemble. We relate our algorithms to
prior work in non-abelian dual computations of Hari Dass and his collaborators,
addressing several problems that have been left open. We report results of spin
expectation value computations over a range of lattice sizes and couplings that
are in agreement with our conventional lattice computations. We conclude with
an outlook on further development of dual methods and their application to
problems of current interest.


title: A geometric categorification of tensor products of $U_q(sl_2)$-modules

abstract:
  We give a purely geometric categorification of tensor products of
finite-dimensional simple $U_q(sl_2)$-modules and $R$-matrices on them. The
work is developed in the framework of category of perverse sheaves and the
categorification theorems are understood as consequences of Deligne's theory of
weights.


title:
Quantum Diffusion in Polaron Model of poly(dG)-poly(dC) and
  poly(dA)-poly(dT) DNA polymers

abstract:
  We numerically investigate quantum diffusion of an electron in a model of
poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers with fluctuation of the
parameters due to the impact of colored noise. The randomness is introduced by
fluctuations of distance between two consecutive bases along the stacked base
pairs. We demonstrate that in the model the decay time of the correlation can
control the spread of the electronic wavepacket. Furthermore it is shown that
in a motional narrowing regime the averaging over fluctuation causes ballistic
propagation of the wavepacket, and in the adiabatic regime the electronic
states are affected by localization.


title: Dynamics of Baryons from String Theory and Vector Dominance

abstract:
  We consider a holographic model of QCD from string theory, a la Sakai and
Sugimoto, and study baryons. In this model, mesons are collectively realized as
a five-dimensional \$U(N_F)=U(1)\times SU(N_F)$ Yang-Mills field and baryons
are classically identified as $SU(N_F)$ solitons with a unit Pontryagin number
and $N_c$ electric charges. The soliton is shown to be very small in the large
't Hooft coupling limit, allowing us to introduce an effective field ${\cal
B}$. Its coupling to the mesons are dictated by the soliton structure, and
consists of a direct magnetic coupling to the $SU(N_F)$ field strength as well
as a minimal coupling to the $U(N_F)$ gauge field. Upon the dimensional
reduction, this effective action reproduces all interaction terms between
nucleons and an infinite tower of mesons in a manner consistent with the large
$N_c$ expansion. We further find that all electromagnetic interactions, as
inferred from the same effective action via a holographic prescription, are
mediated by an infinite tower of vector mesons, rendering the baryon
electromagnetic form factors completely vector-dominated as well. We estimate
nucleon-meson couplings and also the anomalous magnetic moments, which compare
well with nature.


title: Applications of tripled chaotic maps in cryptography

abstract:
  Security of information has become a major issue during the last decades. New
algorithms based on chaotic maps were suggested for protection of different
types of multimedia data, especially digital images and videos in this period.
However, many of them fundamentally were flawed by a lack of robustness and
security. For getting higher security and higher complexity, in the current
paper, we introduce a new kind of symmetric key block cipher algorithm that is
based on \emph{tripled chaotic maps}. In this algorithm, the utilization of two
coupling parameters, as well as the increased complexity of the cryptosystem,
make a contribution to the development of cryptosystem with higher security. In
order to increase the security of the proposed algorithm, the size of key space
and the computational complexity of the coupling parameters should be increased
as well. Both the theoretical and experimental results state that the proposed
algorithm has many capabilities such as acceptable speed and complexity in the
algorithm due to the existence of two coupling parameter and high security.
Note that the ciphertext has a flat distribution and has the same size as the
plaintext. Therefore, it is suitable for practical use in secure
communications.


title: 2D Heisenberg model from rotating membrane

abstract:
  We study a rotating probe membrane in S^3 inside AdS_4 x S^7 background of
M-theory. With (partial) gauge fixing, we show that in the fast limit the
worldvolume of tensionless membrane reduces to either the XXX_1/2 spin chain or
the two-dimensional SU(2) Heisenberg spin model. Later we introduce the
anisotropy and couple it to the external magnetic field. We also establish the
correspondence for higher dimensional (D)p-branes.


title: Confinement of monopole using flux string

abstract:
  We study the confinement of fermionic magnetic monopoles by a thin flux tube
of the Abelian Higgs model. Parity demands that the monopole currents be axial.
This implies that the model is consistent only if there are at least two
species of fermions being confined.


title: New identities in dendriform algebras

abstract:
  Dendriform structures arise naturally in algebraic combinatorics (where they
allow, for example, the splitting of the shuffle product into two pieces) and
through Rota-Baxter algebra structures (the latter appear, among others, in
differential systems and in the renormalization process of pQFT). We prove new
combinatorial identities in dendriform dialgebras that appear to be strongly
related to classical phenomena, such as the combinatorics of Lyndon words,
rewriting rules in Lie algebras, or the fine structure of the
Malvenuto-Reutenauer algebra. One of these identities is an abstract
noncommutative, dendriform, generalization of the Bohnenblust-Spitzer identity
and of an identity involving iterated Chen integrals due to C.S. Lam.


title:
A method for volume stabilization of single, dye-doped water
  microdroplets with femtoliter resolution

abstract:
  A self-control mechanism that stabilizes the size of Rhodamine B-doped water
microdroplets standing on a superhydrophobic surface is demonstrated. The
mechanism relies on the interplay between the condensation rate that was kept
constant and evaporation rate induced by laser excitation which critically
depends on the size of the microdroplets. The radii of individual water
microdroplets (>5 um) stayed within a few nanometers during long time periods
(up to 455 seconds). By blocking the laser excitation for 500 msec, the stable
volume of individual microdroplets was shown to change stepwise.


title: Radiation-condensation instability in a four-fluid dusty plasma

abstract:
  In this work linear stability analysis of a four-fluid optically thin plasma
consisting of electrons, ions, neutral atoms, and charged dust particles is
performed with respect to the radiation-condensation (RC) instability. The
energy budget of the plasma involves the input from heating through
photo-electron emission by dust particles under external ultraviolet radiation
as well as radiative losses in inelastic electron-neutral, electron-ion,
neutral-neutral collisions. It is shown that negatively charged particles
stimulate the RC instability in the sense that the conditions for the
instability to hold are wider than similar conditions in a single-fluid
description.


title:
Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting
  evolution

abstract:
  We consider the bosonic sl(2) sector of the maximally supersymmetric N=4 SYM
model and show that anomalous dimension of the twist-3 single-trace composite
operators built of scalar fields, recently calculated up to the four-loop
order, can be generated by a compact reciprocity respecting evolution kernel.


title: Integer Partitions and Exclusion Statistics

abstract:
  We provide a combinatorial description of exclusion statistics in terms of
minimal difference $p$ partitions. We compute the probability distribution of
the number of parts in a random minimal $p$ partition. It is shown that the
bosonic point $ p=0$ is a repulsive fixed point for which the limiting
distribution has a Gumbel form. For all positive $p$ the distribution is shown
to be Gaussian.

categories: cond-mat.stat-mech math-ph math.CO math.MP


title: Wave packets in quantum theory of collisions

abstract:
  Two methodological troubles of the quantum theory of collisions are
considered. The first is the undesirable interference of the incident and
scattered waves in the stationary approach to scattering. The second concerns
the nonstationary approach to the theory of collisions of the type $a+b\to
c+d$. In order to calculate the cross section one uses the matrix element
$<cd|S|ab>$ of the $S$-matrix. The element is proportional to $\delta$-function
expressing the energy conservation. The corresponding probability $|<
cd|S|ab>|^2$ contains $\delta^2$ which is mathematically senseless. The known
regular way to overcome the difficulty seems to be unsatisfactory. In this
paper, both the troubles are resolved using wave packets of incident particles.


title: Comments on the radio spectrum of HB 3

abstract:
  It has recently been suggested that the radio spectrum of the Galactic
supernova remnant HB 3 shows flattening at higher frequencies (above about 1
GHz). Here I review the radio spectrum of HB 3, noting the difficulties in
deriving accurate flux densities for this remnant, particularly at high
frequencies, due to the proximity of bright, thermal emission from W3 and its
surroundings. A flux density for HB 3 at 2695 MHz is derived from Effelsberg
survey data. The spectrum of HB 3 is well represented by a simple power-law
spectrum from 22 to 2695 MHz, with a spectral index of 0.56 +/- 0.03. It is
concluded that contamination with thermal emission from adjacent regions is the
cause for the reported spectral flattening of HB 3.


title: Symmetries,Singularities and the De-Emergence of Space

abstract:
  Recent work has revealed intriguing connections between a
Belinsky-Khalatnikov-Lifshitz-type analysis of spacelike singularities in
General Relativity and certain infinite dimensional Lie algebras, and in
particular the `maximally extended' hyperbolic Kac--Moody algebra E10. In this
essay we argue that these results may lead to an entirely new understanding of
the (quantum) nature of space(-time) at the Planck scale, and hence -- via an
effective `de-emergence' of space near a singularity -- to a novel mechanism
for achieving background independence in quantum gravity.


title: Generalized vector field

abstract:
  We define generalized vector fields, and contraction and Lie derivatives with
respect to them. Generalized commutators are also defined.


title: Rayleigh Imaging of Graphene and Graphene Layers

abstract:
  We investigate graphene and graphene layers on different substrates by
monochromatic and white-light confocal Rayleigh scattering microscopy. The
image contrast depends sensitively on the dielectric properties of the sample
as well as the substrate geometry and can be described quantitatively using the
complex refractive index of bulk graphite. For few layers (<6) the
monochromatic contrast increases linearly with thickness: the samples behave as
a superposition of single sheets which act as independent two dimensional
electron gases. Thus, Rayleigh imaging is a general, simple and quick tool to
identify graphene layers, that is readily combined with Raman scattering, which
provides structural identification.


title:
Clustering by soft-constraint affinity propagation: Applications to
  gene-expression data

abstract:
  Motivation: Similarity-measure based clustering is a crucial problem
appearing throughout scientific data analysis. Recently, a powerful new
algorithm called Affinity Propagation (AP) based on message-passing techniques
was proposed by Frey and Dueck \cite{Frey07}. In AP, each cluster is identified
by a common exemplar all other data points of the same cluster refer to, and
exemplars have to refer to themselves. Albeit its proved power, AP in its
present form suffers from a number of drawbacks. The hard constraint of having
exactly one exemplar per cluster restricts AP to classes of regularly shaped
clusters, and leads to suboptimal performance, {\it e.g.}, in analyzing gene
expression data. Results: This limitation can be overcome by relaxing the AP
hard constraints. A new parameter controls the importance of the constraints
compared to the aim of maximizing the overall similarity, and allows to
interpolate between the simple case where each data point selects its closest
neighbor as an exemplar and the original AP. The resulting soft-constraint
affinity propagation (SCAP) becomes more informative, accurate and leads to
more stable clustering. Even though a new {\it a priori} free-parameter is
introduced, the overall dependence of the algorithm on external tuning is
reduced, as robustness is increased and an optimal strategy for parameter
selection emerges more naturally. SCAP is tested on biological benchmark data,
including in particular microarray data related to various cancer types. We
show that the algorithm efficiently unveils the hierarchical cluster structure
present in the data sets. Further on, it allows to extract sparse gene
expression signatures for each cluster.


title: The Jacobi Polynomials QCD analysis for the polarized structure function

abstract:
  We present the results of our QCD analysis for polarized quark distribution
and structure function $xg_1 (x,Q^2)$. We use very recently experimental data
to parameterize our model. New parameterizations are derived for the quark and
gluon distributions for the kinematic range $x \epsilon [10^{-8},1]$, $Q^2
\epsilon [1,10^6]$ GeV^2. The analysis is based on the Jacobi polynomials
expansion of the polarized structure functions. Our calculations for polarized
parton distribution functions based on the Jacobi polynomials method are in
good agreement with the other theoretical models. The values of $\Lambda_{QCD}$
and $\alpha_s(M_z)$ are determined.


title:
Statistics of the Number of Zero Crossings : from Random Polynomials to
  Diffusion Equation

abstract:
  We consider a class of real random polynomials, indexed by an integer d, of
large degree n and focus on the number of real roots of such random
polynomials. The probability that such polynomials have no real root in the
interval [0,1] decays as a power law n^{-\theta(d)} where \theta(d)>0 is the
exponent associated to the decay of the persistence probability for the
diffusion equation with random initial conditions in space dimension d. For n
even, the probability that such polynomials have no root on the full real axis
decays as n^{-2(\theta(d) + \theta(2))}. For d=1, this connection allows for a
physical realization of real random polynomials. We further show that the
probability that such polynomials have exactly k real roots in [0,1] has an
unusual scaling form given by n^{-\tilde \phi(k/\log n)} where \tilde \phi(x)
is a universal large deviation function.


title:
Normalization of bundle holomorphic contractions and applications to
  dynamics

abstract:
  We establish a Poincar\'e-Dulac theorem for sequences (G_n)_n of holomorphic
contractions whose differentials d_0 G_n split regularly. The resonant
relations determining the normal forms hold on the moduli of the exponential
rates of contraction. Our results are actually stated in the framework of
bundle maps.
  Such sequences of holomorphic contractions appear naturally as iterated
inverse branches of endomorphisms of CP(k). In this context, our normalization
result allows to precisely estimate the distortions of ellipsoids along typical
orbits. As an application, we show how the Lyapunov exponents of the
equilibrium measure are approximated in terms of the multipliers of the
repulsive cycles.


title: Strong peak points and denseness of strong peak functions

abstract:
  Let $C_b(K)$ be the set of all bounded continuous (real or complex) functions
on a complete metric space $K$ and $A$ a closed subspace of $C_b(K)$. Using the
variational method, it is shown that the set of all strong peak functions in
$A$ is dense if and only if the set of all strong peak points is a norming
subset of $A$. As a corollary we show that if $X$ is a locally uniformly
convex, complex Banach space, then the set of all strong peak functions in
$\mathcal{A}(B_X)$ is a dense $G_\delta$ subset. Moreover if $X$ is separable,
smooth and locally uniformly convex, then the set of all norm and numerical
strong peak functions in $\mathcal{A}_u(B_X:X)$ is a dense $G_\delta$ subset.
In case that a set of uniformly strongly exposed points of a (real or complex)
Banach space $X$ is a norming subset of $\mathcal{P}({}^n X)$ for some $n\ge
1$, then the set of all strongly norm attaining elements in $\mathcal{P}({}^n
X)$ is dense, in particular, the set of all points at which the norm of
$\mathcal{P}({}^n X)$ is Fr\'echet differentiable is a dense $G_\delta$ subset.


title:
Non-equilibrium chemistry and dust formation in AGB stars as probed by
  SiO line emission

abstract:
  We have performed high spatial resolution observations of SiO line emission
for a sample of 11 AGB stars using the ATCA, VLA and SMA interferometers.
Detailed radiative transfer modelling suggests that there are steep chemical
gradients of SiO in their circumstellar envelopes. The emerging picture is one
where the radial SiO abundance distribution starts at an initial high
abundance, in the case of M-stars consistent with LTE chemistry, that
drastically decreases at a radius of ~1E15 cm. This is consistent with a
scenario where SiO freezes out onto dust grains. The region of the wind with
low abundance is much more extended, typically ~1E16 cm, and limited by
photodissociation. The surpisingly high SiO abundances found in carbon stars
requires non-equilibrium chemical processes.


title:
Weak-Light Ultraslow Vector Optical Solitons via Electromagnetically
  Induced Transparency

abstract:
  We propose a scheme to generate temporal vector optical solitons in a
lifetime broadened five-state atomic medium via electromagnetically induced
transparency. We show that this scheme, which is fundamentally different from
the passive one by using optical fibers, is capable of achieving
distortion-free vector optical solitons with ultraslow propagating velocity
under very weak drive conditions. We demonstrate both analytically and
numerically that it is easy to realize Manakov temporal vector solitons by
actively manipulating the dispersion and self- and cross-phase modulation
effects of the system.


title: On star formation rate and turbulent dissipation in galactic models

abstract:
  The models of star formation function and of dissipation of turbulent energy
of interstellar medium are proposed. In star formation model the feedback of
supernovae is taken into account. It is shown that hierarchical scenario of
galaxy formation with proposed models is able to explain the observable star
formation pause in the Galaxy.


title: Methods for determining AGB mass loss rates based on radio data

abstract:
  In the radio regime the mass-loss rate of AGB stars is best probed using
molecular (and atomic) line emission arising in the CSE formed by the stellar
wind. The numerical modelling of the circumstellar emission where intricate
interplays between physical and chemical processes take place, is a challenge.
The derived mass-loss rates depend crucially on the assumptions in the
circumstellar model, of which some can be constrained if enough observational
data exist. Therefore, a reliable mass-loss-rate determination for an
individual star requires, in addition to a detailed radiative transfer
analysis, good observational constraints in the form of multi-line observations
and radial brightness distributions. Of the methods used to estimate mass-loss
rates from galactic AGB stars those based on radiative transfer modelling of CO
line emission are most commonly used and possibly also the most accurate.
Typically, CO multi-transitional observations can constrain the mass-loss rate
to better than 50%, within the adopted circumstellar model. Comparison with
complementary methods, such as estimates based on dust radiative transfer
modelling coupled with a dynamical model, are consistent within a factor of
three.


title: Counting energy packets in the electromagnetic wave

abstract:
  We discuss the concept of energy packets in respect to the energy transported
by electromagnetic waves and we demonstrate that this physical quantity can be
used in physical problems involving relativistic effects. This refined concept
provides results compatible to those obtained by simpler definition of energy
density when relativistic effects apply to the free electromagnetic waves. We
found this concept further compatible to quantum theory perceptions and we show
how it could be used to conciliate between different physical approaches
including the classical electromagnetic wave theory, the special relativity and
the quantum theories.


title: Inflationary universe in loop quantum cosmology

abstract:
  Loop quantum cosmology provides a nice solution of avoiding the big bang
singularity through a big bounce mechanism in the high energy region. In loop
quantum cosmology an inflationary universe is emergent after the big bounce, no
matter what matter component is filled in the universe. A super-inflation phase
without phantom matter will appear in a certain way in the initial stage after
the bounce; then the universe will undergo a normal inflation stage. We discuss
the condition of inflation in detail in this framework. Also, for slow-roll
inflation, we expect the imprint from the effects of the loop quantum cosmology
should be left in the primordial perturbation power spectrum. However, we show
that this imprint is too weak to be observed.


title:
Effective field theory approach for the M1 properties of A=2 and 3
  nuclei

abstract:
  The magnetic moments of ${}^2{H}$, ${}^3{He}$ and ${}^3{H}$ as well as the
thermal neutron capture rate on the proton are calculated using heavy baryon
chiral perturbation theory {\it \`{a} la} Weinberg. The M1 operators have been
derived up to {N$^3$LO}. The nuclear matrix elements are evaluated with the use
of wave functions obtained by carrying out variational Monte Carlo calculations
for a realistic nuclear Hamiltonian involving high-precision phenomenological
potentials like Argonne Av18 and Urbana IX tri-nucleon interactions. We discuss
the potential- and cutoff-dependence of the results.


title: The Josephson effect throughout the BCS-BEC crossover

abstract:
  We study the stationary Josephson effect for neutral fermions across the
BCS-BEC crossover, by solving numerically the Bogoliubov-de Gennes equations at
zero temperature. The Josephson current is found to be considerably enhanced
for all barriers at about unitarity. For vanishing barrier, the Josephson
critical current approaches the Landau limiting value which, depending on the
coupling, is determined by either pair-breaking or sound-mode excitations. In
the coupling range from the BCS limit to unitarity, a procedure is proposed to
extract the pairing gap from the Landau limiting current.


title:
Moeller's Energy-Momentum Complex for a Spacetime Geometry on a
  Noncommutative Curved D3-Brane

abstract:
  Moeller's energy-momentum complex is employed in order to determine the
energy and momentum distributions for a spacetime described by a "generalized
Schwarzschild" geometry in (3+1)-dimensions on a noncommutative curved D3-brane
in an effective, open bosonic string theory. The geometry considered is
obtained by an effective theory of gravity coupled with a nonlinear
electromagnetic field and depends only on the generalized (effective) mass and
charge which incorporate corrections of first order in the noncommutativity
parameter.


title:
Multiparty-controlled teleportation of an arbitrary m-qudit state with
  pure entangled quantum channel

abstract:
  We present a general scheme for multiparty-controlled teleportation of an
arbitrary m-qudit ($d$-dimensional quantum system) state by using non-maximally
entangled states as the quantum channel. The sender performs m generalized
Bell-state measurements on her 2$m$ particles, the controllers take some
single-particle measurements with the measuring basis $X_{d}$ and the receiver
only need to introduce one auxiliary two-level particle to extract quantum
information probabilistically with the fidelity unit if he cooperates with all
the controllers. All the parties can use some decoy photons to set up their
quantum channel securely, which will forbid some a dishonest party to eavesdrop
freely. This scheme is optimal as the probability that the receiver obtains the
originally unknown m-qudit state equals to the entanglement of the quantum
channel.


title: Floer homology and singular knots

abstract:
  We define Floer homology theories for oriented, singular knots in S^3 and
show that one of these theories can be defined combinatorially for planar
singular knots.


title: A duality theorem for generalized local cohomology

abstract:
  We prove a duality theorem for graded algebras over a field that implies
several known duality results : graded local duality, versions of Serre duality
for local cohomology and of Suzuki duality for generalized local cohomology,
and Herzog-Rahimi bigraded duality.


title: The IC1396N proto-cluster at a scale of 250 AU

abstract:
  We investigate the mm-morphology of IC1396N with unprecedented spatial
resolution to analyze its dust and molecular gas properties, and draw
comparisons with objects of similar mass. We have carried out sensitive
observations in the most extended configurations of the IRAM Plateau de Bure
interferometer, to map the thermal dust emission at 3.3 and 1.3mm, and the
emission from the $J$=13$_k\to12_k$ hyperfine transitions of methyl cyanide
(CH$_3$CN). We unveil the existence of a sub-cluster of hot cores in IC1396N,
distributed in a direction perpendicular to the emanating outflow. The cores
are embedded in a common envelope of extended and diffuse dust emission. We
find striking differences in the dust properties of the cores ($\beta\simeq$ 0)
and the surrounding envelope ($\beta\simeq$ 1), very likely testifying to
differences in the formation and processing of dust material. The CH$_3$CN
emission peaks towards the most massive hot core and is marginally extended in
the outflow direction.


title: Non-CKM induced flavor violation in "minimal" SUSY SU(5) models

abstract:
  Patterns of flavor violation induced by neutrino Yukawa couplings are
discussed in realistic ``minimal'' SUSY SU(5) models, obtained by adding
nonrenormalizable operators to the minimal one, in order to fix the fermion
spectrum and suppress proton decay. Results are presented for the three
possible implementations of the seesaw mechanisms, i.e. of Type I, II and III.


title: Multiqubit entanglement witness

abstract:
  We introduce a feasible method of constructing the entanglement witness that
detects the genuine entanglement of a given pure multiqubit state. We
illustrate our method in the scenario of constructing the witnesses for the
multiqubit states that are broadly theoretically and experimentally
investigated. It is shown that our method can construct the effective witnesses
for experiments. We also investigate the entanglement detection of symmetric
states and mixed states.


title:
Mass spectrum of diquarks and mesons in the color--flavor locked phase
  of dense quark matter

abstract:
  The spectrum of meson and diquark excitations of dense quark matter is
considered in the framework of the Nambu -- Jona-Lasinio model with three types
of massless quarks in the presense of a quark number chemical potential $\mu$.
We investigate the effective action of meson- and diquark fields both at
sufficiently large values of $\mu>\mu_c\approx 330$ MeV, where the
color--flavor locked (CFL) phase is realized, and in the chirally broken phase
of quark matter ($\mu<\mu_c$). In the last case all nine pseudoscalar mesons
are Nambu -- Goldstone (NG) bosons, whereas the mass of the scalar meson nonet
is twice the dynamical quark mass. In the chirally broken phase the
pseudoscalar diquarks are not allowed to exist as stable particles, but the
scalar diquarks might be stable only at a rather strong interaction in the
diquark channel. In the case of the CFL phase, all NG bosons of the model are
realized as scalar and pseudoscalar diquarks. Moreover, it turns out that
massive diquark excitations are unstable for this phase. In particular, for the
scalar and pseudoscalar octets of diquark resonances a mass value around 230
MeV was found numerically. In contrast, mesons are stable particles in the CFL
phase. Their masses lie in the interval 400$\div$500 MeV for not too large
values of $\mu>\mu_c$.


title: The ACS LCID Project: Variable Stars in Tucana and LGS3

abstract:
  We present preliminary results concerning the search for short-period
variable stars in Tucana and LGS3 based on very deep HST/ACS imaging. In the
one chip per galaxy we studied so far, a total of 230 and 80 candidates
variables were found, respectively. For Tucana, we identified 134 of them as RR
Lyrae stars (RRL) pulsating in the fundamental mode (RRab), 51 in the
first-overtone mode (RRc), and 37 in both modes simultaneoulsy (RRd), as well
as four candidate anomalous Cepheids (AC). In the case of LGS3, we found 45
RRab and 5 RRc, plus three candidates RRd and five candidate AC. The
metallicities obtained from the mean period of the RRab are [Fe/H]_{Tuc}=-1.7
and [Fe/H]_{LGS3}=-1.8.