Abstract
The steady state for a system of N particles 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 fields. We show that the sequence of steady state distributions, as N varies, is 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 hold in the stronger form of entropic chaoticity.
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