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Entropy 2014, 16(2), 1037-1046; doi:10.3390/e16021037
Article

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

1,* , 1
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2
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3
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)
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Abstract

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.
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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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