coarse-graining (theory); stochastic processes (theory); stationary states
Résumé :
[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 :
Physique
Auteur, co-auteur :
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
Langue du document :
Anglais
Titre :
Mutual entropy production in bipartite systems
Date de publication/diffusion :
17 avril 2014
Titre du périodique :
Journal of Statistical Mechanics: Theory and Experiment
eISSN :
1742-5468
Maison d'édition :
Institute of Physics Publishing, Bristol, Royaume-Uni
