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arXiv · 0712.3542

Non-equilibrium thermodynamics for functionals of current and density

Abstract

We study a stochastic many-body system maintained in an non-equilibrium steady state. Probability distribution functional of the time-integrated current and density is shown to attain a large-deviation form in the long-time asymptotics. The corresponding Current-Density Cramer Functional (CDCF) is explicitly derived for irreversible Langevin dynamics and discrete-space Markov chains. We also show that the Cramer functionals of other linear functionals of density and current, like work generated by a force, are related to CDCF in a way reminiscent of variational relations between different thermodynamic potentials. The general formalism is illustrated with a model example.

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BibTeXRIS

Vladimir Y. Chernyak, Michael Chertkov, Sergey V. Malinin, Razvan Teodorescu. 2007-12-20. Non-equilibrium thermodynamics for functionals of current and density. https://arxiv.org/abs/0712.3542

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