Entropic Chaoticity for the Steady State of a Current Carrying System
Chaotic Dynamics
2015-06-12 v2 Mathematical Physics
math.MP
Abstract
The steady state for a system of N particle under the influence of an external field and a Gaussian thermostat and colliding with random "virtual" scatterers can be obtained explicitly in the limit of small field. We show the sequence of steady state distribution, as N varies, forms a chaotic sequence in the sense that the k particle marginal, in the limit of large N, is the k-fold tensor product of the 1 particle marginal. We also show that the chaoticity properties holds in the stronger form of entropic chaoticity.
Keywords
Cite
@article{arxiv.1212.6280,
title = {Entropic Chaoticity for the Steady State of a Current Carrying System},
author = {Federico Bonetto and Michael Loss},
journal= {arXiv preprint arXiv:1212.6280},
year = {2015}
}