The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic model
arXiv:chao-dyn/9909004
Abstract
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.
arXiv comment12 pages, submitted to Journal of Statistical Physics
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- Nonequilibrium Equalities in Absolutely Irreversible Processes
- Covariant Lyapunov vectors
- Brownian motion and diffusion: from stochastic processes to chaos and beyond
- The origin of diffusion: the case of non chaotic systems
- Hydrodynamics and the fluctuation theorem
- On the Fluctuation Relation for Nose-Hoover Boundary Thermostated Systems
- Generalized dynamical entropies in weakly chaotic systems
- An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systems
- Fluctuation formula for nonreversible dynamics in the thermostated Lorentz gas
- Stability analysis of an ensemble of simple harmonic oscillators
- Higher order statistics in the annulus square billiard: transport and polyspectra