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- Title
Maximum Entropy Production vs. Kolmogorov-Sinai Entropy in a Constrained ASEP Model.
- Authors
Mihelich, Martin; Dubrulle, Bérengère; Paillard, Didier; Herbert, Corentin
- 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.
- Subjects
MAXIMUM entropy method; STATISTICAL equilibrium; THERMODYNAMICS; ELECTROMAGNETISM; QUANTUM theory; CHAOS theory
- Publication
Entropy, 2014, Vol 16, Issue 2, p1037
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e16021037