and freely jointed segments with flexible bonds. The segments behave as rod-like polymer. ${\bf u}$ is the segment orientation vector. (b) initial snapshot of the simulation where $D_{0}/2$ is larger than the average radius of gyration of each chain. We have a mixture of polymers with different number of monomers per segment.(c) the final snapshot; here $D/2$ is smaller than the radius of gyration of each chain. The figure schematically shows strong confinement: longer segments (in blue) are pushed to the periphery.[]{data-label="fig:seg_poly"}](fig1.pdf){width=".45\textwidth"}

The confinement of multiple homopolymer chains shows different behavior associated with dilute to overlapping regime, equivalently from weak to strong confinement [@Grosberg94a; @TakaElie2006]. In overall, as density is increased for system of homogeneous and identical chains, these chains lose their identity and all the physical and thermodynamical quantities are equally likely for each chain; e.g. monomer density, chain size, and so on. By introducing inhomogeneity, specially in the form of multiple chains, where different chains have different structural characteristic, similar to the scenario inside the nucleus where we have many different components with different physical or chemical properties, addressing the phase behavior and thermodynamical properties of the system becomes very complicated; examples include crowding inside the nucleus, chromosome 