Landauer-Büttiker scattering approach; Onsager relations; Entropy production; Random matrix theory; Ohm and Fourier laws]{}
author:
- |
    Philippe A. Jacquet\
    \
    \
bibliography:
- 'refs.bib'
title: |
    [**ThermoElectric Transport Properties\
    of a Chain of Quantum Dots\
    with Self-Consistent Reservoirs**]{}
---

Introduction
============

The study of transport properties of systems out of equilibrium is a fascinating subject in theoretical physics. In particular, various models have been developed to find out what are the underlying microscopic mechanisms giving rise to macroscopic behaviours such as Ohm and Fourier laws [@Jackson; @BLR; @LLP].

One interesting class of models that has been introduced with this purpose is related to the Lorentz gas [@Lorentz; @LS; @LebSpohn; @Wagner; @KlagesPRL; @Rateitschak; @Carlos; @LLM; @EY]. In particular, a classical model for particle and energy transport has recently been investigated by Eckmann and Young [@EY]. In this EY-model, the system is a linear chain of *chaotic* cells, each one containing a fixed freely rotating disc at its centre (see  \[The Classical System\]). Both ends of the chain are coupled to classical particle reservoirs assumed to be in thermal equilibrium at temperatures $T_\L$ and $T_\R$, respectively. Particles are injected into the system from these reservoirs at characteristic rates $\gamma_\L$ and $\gamma_\R$, 