12-154 Federico Bonetto, Michael Loss

Entropic Chaoticity for the Steady State of a Current Carrying System. (39K, latex) Dec 26, 12

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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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