A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics View Full Text


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Article Info

DATE

1999-04

AUTHORS

Joel L. Lebowitz, Herbert Spohn

ABSTRACT

We extend the work of Kurchan on the Gallavotti–Cohen fluctuation theorem, which yields a symmetry property of the large deviation function, to general Markov processes. These include jump processes describing the evolution of stochastic lattice gases driven in the bulk or through particle reservoirs, general diffusive processes in physical and/or velocity space, as well as Hamiltonian systems with stochastic boundary conditions. For dynamics satisfying local detailed balance we establish a link between the average of the action functional in the fluctuation theorem and the macroscopic entropy production. This gives, in the linear regime, an alternative derivation of the Green–Kubo formula and the Onsager reciprocity relations. In the nonlinear regime consequences of the new symmetry are harder to come by and the large deviation functional difficult to compute. For the asymmetric simple exclusion process the latter is determined explicitly using the Bethe ansatz in the limit of large N. More... »

PAGES

333-365

References to SciGraph publications

  • 1995-09. Dynamical ensembles in stationary states in JOURNAL OF STATISTICAL PHYSICS
  • 1997-12. SRB States and Nonequilibrium Statistical Mechanics Close to Equilibrium in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1996-09. Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem in JOURNAL OF STATISTICAL PHYSICS
  • 1996-05. Hydrodynamics and fluctuations outside of local equilibrium: Driven diffusive systems in JOURNAL OF STATISTICAL PHYSICS
  • 1984-02. Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors in JOURNAL OF STATISTICAL PHYSICS
  • 1997-07. Differentiation of SRB States in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1993-06. Steady-state electrical conduction in the periodic Lorentz gas in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1977-06. Stationary non-equilibrium states of infinite harmonic systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1986-04. Approach to equilibrium in models of a system in contact with a heat bath in JOURNAL OF STATISTICAL PHYSICS
  • 1996-10. Positivity of entropy production in nonequilibrium statistical mechanics in JOURNAL OF STATISTICAL PHYSICS
  • 1997-03. Stationary nonequilibrium states in boundary-driven Hamiltonian systems: Shear flow in JOURNAL OF STATISTICAL PHYSICS
  • 1985-12. Stationary states for a mechanical system with stochastic boundary conditions in JOURNAL OF STATISTICAL PHYSICS
  • 1987-06. Transport as a consequence of state-dependent diffusion in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
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    http://scigraph.springernature.com/pub.10.1023/a:1004589714161

    DOI

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