An improved upper bound on the Entropy Production for the Kac Master equation

Details An improved upper bound on the Entropy Production for the Kac Master equation An improved upper bound on the Entropy Production for the Kac Master equation

2010-09-16

arxiv.org/abs/1009.3237v1

Physics

Mathematical Physics

22 pages, latex

Scientific paper

In this paper we take an idea presented in recent paper by Carlen, Carvalho,
Le Roux, Loss, and Villani and push it one step forward to ?find an exact
estimation on the entropy production. The new estimation essentially proves
that Villani's conjecture is correct, or more precisely that a much worse bound
to the entropy production is impossible in the general case.

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