Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states

Details Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states

2007-05-16

arxiv.org/abs/0705.2344v2

Europhys. Lett. 82 (2008) 30003

Physics

Condensed Matter

Statistical Mechanics

6 pages; extension with an example added, a section removed

Scientific paper

10.1209/0295-5075/82/30003

We give the explicit structure of the functional governing the dynamical density and current fluctuations for a mesoscopic system in a nonequilibrium steady state. Its canonical form determines a generalised Onsager-Machlup theory. We assume that the system is described as a Markov jump process satisfying a local detailed balance condition such as typical for stochastic lattice gases and for chemical networks. We identify the entropy current and the traffic between the mesoscopic states as extra terms in the fluctuation functional with respect to the equilibrium dynamics. The density and current fluctuations are coupled in general, except close to equilibrium where their decoupling explains the validity of entropy production principles.

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