An integral fluctuation theorem for systems with unidirectional transitions

Rahav, Saar and Harbola, Upendra (2014) An integral fluctuation theorem for systems with unidirectional transitions. In: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .

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Abstract

The fluctuations of a Markovian jump process with one or more unidirectional transitions, where R-ij > 0 but R-ji = 0, are studied. We find that such systems satisfy an integral fluctuation theorem. The fluctuating quantity satisfying the theorem is a sum of the entropy produced in the bidirectional transitions and a dynamical contribution, which depends on the residence times in the states connected by the unidirectional transitions. The convergence of the integral fluctuation theorem is studied numerically and found to show the same qualitative features as systems exhibiting microreversibility.

Item Type:	Journal Article
Publication:	JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Publisher:	IOP PUBLISHING LTD
Additional Information:	Copyright for this article belongs to the IOP PUBLISHING LTD, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Keywords:	stochastic particle dynamics (theory); current fluctuations
Department/Centre:	Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited:	12 Jan 2015 05:52
Last Modified:	12 Jan 2015 05:52
URI:	http://eprints.iisc.ac.in/id/eprint/50589

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