Article (Scientific journals)
Mutual entropy production in bipartite systems
Diana, Giovanni; Esposito, Massimiliano
2014In Journal of Statistical Mechanics: Theory and Experiment
Peer Reviewed verified by ORBi
 

Files


Full Text
14DianaEspositoJSTAT.pdf
Publisher postprint (689.93 kB)
Request a copy

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
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.
Disciplines :
Physics
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
Language :
English
Title :
Mutual entropy production in bipartite systems
Publication date :
17 April 2014
Journal title :
Journal of Statistical Mechanics: Theory and Experiment
ISSN :
1742-5468
Publisher :
Institute of Physics Publishing, Bristol, United Kingdom
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 22 September 2014

Statistics


Number of views
156 (8 by Unilu)
Number of downloads
0 (0 by Unilu)

Scopus citations®
 
32
Scopus citations®
without self-citations
29
WoS citations
 
30

Bibliography


Similar publications



Contact ORBilu