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Condensed Matter > Statistical Mechanics

arXiv:0712.3542 (cond-mat)
[Submitted on 20 Dec 2007]

Title:Non-equilibrium thermodynamics for functionals of current and density

Authors:Vladimir Y. Chernyak, Michael Chertkov, Sergey V. Malinin, Razvan Teodorescu
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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.
Comments: Submitted to Phys. Rev. Lett
Subjects: Statistical Mechanics (cond-mat.stat-mech); Soft Condensed Matter (cond-mat.soft)
Cite as: arXiv:0712.3542 [cond-mat.stat-mech]
  (or arXiv:0712.3542v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.0712.3542

Submission history

From: Razvan Teodorescu [view email]
[v1] Thu, 20 Dec 2007 19:29:29 UTC (10 KB)
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