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We extend the work of Kurchan on the Gallavotti-Cohen fluctuation theorem,which yields a symmetry property of the large deviation function, to generalMarkov processes. These include jump processes describing the evolution ofstochastic lattice gases driven in the bulk or through particle reservoirs,general diffusive processes in physical and/or velocity space, as well asHamiltonian systems with stochastic boundary conditions. For dynamicssatisfying local detailed balance we establish a link between the actionfunctional of the fluctuation theorem and the entropy production. This gives,in the linear regime, an alternative derivation of the Green-Kubo formula andthe Onsager reciprocity relations. In the nonlinear regime consequences of thenew symmetry are harder to come by and the large derivation functionaldifficult to compute. For the asymmetric simple exclusion process the latter isdetermined explicitly using the Bethe ansatz in the limit of large N.Comment: submitted to Journ.Stat. Physic

A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics