Non-equilibrium thermodynamics for functionals of current and density

Details Non-equilibrium thermodynamics for functionals of current and density Non-equilibrium thermodynamics for functionals of current and density

2007-12-20

arxiv.org/abs/0712.3542v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to Phys. Rev. Lett

Scientific paper

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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