A local fluctuation theorem

doi:10.1016/S0378-4371(98)00502-0

Physica A: Statistical Mechanics and its Applications

Volume 263, Issues 1–4, 1 February 1999, Pages 39-50

https://doi.org/10.1016/S0378-4371(98)00502-0 Get rights and content

Abstract

A mechanism for the validity of a local version of the fluctuation theorem, uniform in the system size, is discussed for a reversible chain of weakly coupled Anosov systems.

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This property is not evidenced by the NS equation, which predicts that the dissipated power is constant in time [2,4,5].1 At the same time, a local fluctuation theorem can be derived for the same systems for which the Gallavotti–Cohen theorem holds (see, e.g. Ref. [8]). Therefore, one may think that this local theorem holds for the GNS dynamics and, by virtue of the Equivalence Conjecture, that it must hold also for the NS dynamics.
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View full text

A local fluctuation theorem

Abstract

Dynamical ensembles in nonequilibrium statistical mechanics

Physical Review Letters

Dynamical ensembles in stationary states

Journal of Statistical Physics

Applications of periodic orbit theory to ndashparticle systems

Journal of Statistical Physics

Equilibrium microstates which generate second law violating steady states

Physical Review E

Fluctuation theorem for stochastic dynamics

Journal of Physics A

The Gallavotti-Cohen Fluctuation Theorem for Stochastic Dynamics

Chaotic dynamics, fluctuations, nonequilibrium ensembles

Chaos

Sensitive dependence on initial conditions and turbulent behavior of dynamical systems

Annals of the New York Academy of Sciences