Mutual entropy production in bipartite systems

Diana, Giovanni; Esposito, Massimiliano

doi:10.1088/1742-5468/2014/04/P04010

Reference : Mutual entropy production in bipartite systems


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/10993/18028

Title :	Mutual entropy production in bipartite systems
Language :	English
Author, co-author :	Diana, Giovanni [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
	Esposito, Massimiliano [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
Publication date :	17-Apr-2014
Journal title :	Journal of Statistical Mechanics: Theory and Experiment
Publisher :	Institute of Physics Publishing
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
e-ISSN :	1742-5468
City :	Bristol
Country :	England
Keywords :	[en] coarse-graining (theory) ; stochastic processes (theory) ; stationary states
Abstract :	[en] It was recently shown by Barato et al (2013 Phys. Rev. E 87 042104) that the mutual information at the trajectory level of a bipartite Markovian system is not bounded by the entropy production. In the same way as Gaspard showed (2004 J. Stat. Phys. 117 599) that the entropy production is not directly related to the Shannon entropy at the trajectory level but is in fact equal to its difference from the so-called time-reversed Shannon entropy, we show in this paper that the difference between the mutual information and its time-reversed form is equal to the mutual entropy production (MEP), i.e. the difference between the full entropy production and that of the two marginal processes. Evaluation of the MEP is in general a difficult task due to non-Markovian effects. For bipartite systems, we provide closed expressions in various limiting regimes which we verify by numerical simulations.
Permalink :	http://hdl.handle.net/10993/18028
DOI :	10.1088/1742-5468/2014/04/P04010
Other URL :	http://stacks.iop.org/JSTAT/2014/P04010

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