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Entropy production and coarse-graining in Markov processes by Puglisi, A.; Pigolotti, S.; Rondoni, L.; Vulpiani, A. is a scholarly article available to read on EtoBox.

What is Entropy production and coarse-graining in Markov processes about?

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.

Author

Puglisi, A.; Pigolotti, S.; Rondoni, L.; Vulpiani, A.

Published

2010

Language

EN