Thermodynamic large fluctuations from uniformized dynamics

Details Thermodynamic large fluctuations from uniformized dynamics Thermodynamic large fluctuations from uniformized dynamics

2010-12-08

arxiv.org/abs/1012.1767v1

Physical Review E 82, 031124 (2010)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.82.031124

Large fluctuations have received considerable attention as they encode information on the fine-scale dynamics. Large deviation relations known as fluctuation theorems also capture crucial nonequilibrium thermodynamical properties. Here we report that, using the technique of uniformization, the thermodynamic large deviation functions of continuous-time Markov processes can be obtained from Markov chains evolving in discrete time. This formulation offers new theoretical and numerical approaches to explore large deviation properties. In particular, the time evolution of autonomous and non-autonomous processes can be expressed in terms of a single Poisson rate. In this way the uniformization procedure leads to a simple and efficient way to simulate stochastic trajectories that reproduce the exact fluxes statistics. We illustrate the formalism for the current fluctuations in a stochastic pump model.

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