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arXiv · 1212.6280

Entropic Chaoticity for the Steady State of a Current Carrying System

Federico Bonetto·Michael Loss
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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.

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Federico Bonetto, Michael Loss. 2012-12-26. Entropic Chaoticity for the Steady State of a Current Carrying System. https://doi.org/10.1063/1.4824131

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