Fluctuation relations and coarse-graining

Details Fluctuation relations and coarse-graining Fluctuation relations and coarse-graining

2007-08-17

arxiv.org/abs/0708.2437v2

J. Stat. Mech. (2007) P09012

Physics

Condensed Matter

Statistical Mechanics

19 pages, 6 figures, very minor changes

Scientific paper

10.1088/1742-5468/2007/09/P09012

We consider the application of fluctuation relations to the dynamics of coarse-grained systems, as might arise in a hypothetical experiment in which a system is monitored with a low-resolution measuring apparatus. We analyze a stochastic, Markovian jump process with a specific structure that lends itself naturally to coarse-graining. A perturbative analysis yields a reduced stochastic jump process that approximates the coarse-grained dynamics of the original system. This leads to a non-trivial fluctuation relation that is approximately satisfied by the coarse-grained dynamics. We illustrate our results by computing the large deviations of a particular stochastic jump process. Our results highlight the possibility that observed deviations from fluctuation relations might be due to the presence of unobserved degrees of freedom.

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