The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic model

Details The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic model The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic model

1999-08-31

arxiv.org/abs/chao-dyn/9909004v1

J.Stat. Phys. 99 3/4 (2000) 857

Physics

Condensed Matter

Statistical Mechanics

12 pages, submitted to Journal of Statistical Physics

Scientific paper

We test the applicability of the Gallavotti-Cohen fluctuation formula on a nonequilibrium version of the periodic Ehrenfest wind-tree model. This is a one-particle system whose dynamics is rather complex (e.g. it appears to be diffusive at equilibrium), but its Lyapunov exponents are nonpositive. For small applied field, the system exhibits a very long transient, during which the dynamics is roughly chaotic, followed by asymptotic collapse on a periodic orbit. During the transient, the dynamics is diffusive, and the fluctuations of the current are found to be in agreement with the fluctuation formula, despite the lack of real hyperbolicity. These results also constitute an example which manifests the difference between the fluctuation formula and the Evans-Searles identity.

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