Entropy production and coarse-graining in Markov processes

Details Entropy production and coarse-graining in Markov processes Entropy production and coarse-graining in Markov processes

2010-02-24

arxiv.org/abs/1002.4520v1

J. Stat. Mech. (2010) P05015

Physics

Condensed Matter

Statistical Mechanics

18 pages, 13 figures, submitted for publication

Scientific paper

10.1088/1742-5468/2010/05/P05015

We study the large time fluctuations of entropy production in Markov processes. In particular, we consider the effect of a coarse-graining procedure which decimates {\em fast states} with respect to a given time threshold. Our results provide strong evidence that entropy production is not directly affected by this decimation, provided that it does not entirely remove loops carrying a net probability current. After the study of some examples of random walks on simple graphs, we apply our analysis to a network model for the kinesin cycle, which is an important biomolecular motor. A tentative general theory of these facts, based on Schnakenberg's network theory, is proposed.

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