Non-equilibrium thermodynamics for functionals of current and density

dc.creatorChernyak, Vladimir Y.
dc.creatorChertkov, Michael
dc.creatorMalinin, Sergey V.
dc.creatorTeodorescu, Razvan
dc.date2007-12-20
dc.date.accessioned2026-07-07T08:50:41Z
dc.date.available2026-07-07T08:50:41Z
dc.descriptionWe 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.
dc.descriptionSubmitted to Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/0712.3542
dc.identifierhttp://arxiv.org/abs/0712.3542
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144681
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleNon-equilibrium thermodynamics for functionals of current and density
dc.typetext

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