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Entropy 2014, 16(2), 1037-1046;

Maximum Entropy Production vs. Kolmogorov-Sinai Entropy in a Constrained ASEP Model

Laboratoire SPHYNX, CEA/IRAMIS/SPEC, CNRS URA 2464, F-91191 Gif-sur-Yvette, France
Laboratoire des Sciences du Climat et de l'Environnement, IPSL, Orme des Merisiers, Gif-sur-Yvette 91191, France
National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307, USA
Author to whom correspondence should be addressed.
Received: 25 November 2013 / Revised: 6 January 2014 / Accepted: 10 February 2014 / Published: 19 February 2014
(This article belongs to the Special Issue Maximum Entropy Production)
Full-Text   |   PDF [323 KB, uploaded 24 February 2015]


The asymmetric simple exclusion process (ASEP) has become a paradigmatic toy-model of a non-equilibrium system, and much effort has been made in the past decades to compute exactly its statistics for given dynamical rules. Here, a different approach is developed; analogously to the equilibrium situation, we consider that the dynamical rules are not exactly known. Allowing for the transition rate to vary, we show that the dynamical rules that maximize the entropy production and those that maximise the rate of variation of the dynamical entropy, known as the Kolmogorov-Sinai entropy coincide with good accuracy. We study the dependence of this agreement on the size of the system and the couplings with the reservoirs, for the original ASEP and a variant with Langmuir kinetics. View Full-Text
Keywords: maximum entropy production; Kolmogorov-Sinai Entropy; ASEP model maximum entropy production; Kolmogorov-Sinai Entropy; ASEP model
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Mihelich, M.; Dubrulle, B.; Paillard, D.; Herbert, C. Maximum Entropy Production vs. Kolmogorov-Sinai Entropy in a Constrained ASEP Model. Entropy 2014, 16, 1037-1046.

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