Literature DB >> 26254635

Communication: Maximum caliber is a general variational principle for nonequilibrium statistical mechanics.

Michael J Hazoglou1, Valentin Walther1, Purushottam D Dixit2, Ken A Dill1.   

Abstract

There has been interest in finding a general variational principle for non-equilibrium statistical mechanics. We give evidence that Maximum Caliber (Max Cal) is such a principle. Max Cal, a variant of maximum entropy, predicts dynamical distribution functions by maximizing a path entropy subject to dynamical constraints, such as average fluxes. We first show that Max Cal leads to standard near-equilibrium results—including the Green-Kubo relations, Onsager's reciprocal relations of coupled flows, and Prigogine's principle of minimum entropy production—in a way that is particularly simple. We develop some generalizations of the Onsager and Prigogine results that apply arbitrarily far from equilibrium. Because Max Cal does not require any notion of "local equilibrium," or any notion of entropy dissipation, or temperature, or even any restriction to material physics, it is more general than many traditional approaches. It also applicable to flows and traffic on networks, for example.

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Year:  2015        PMID: 26254635     DOI: 10.1063/1.4928193

Source DB:  PubMed          Journal:  J Chem Phys        ISSN: 0021-9606            Impact factor:   3.488


  4 in total

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Journal:  Cell Syst       Date:  2019-12-18       Impact factor: 10.304

2.  Cellular automaton models for time-correlated random walks: derivation and analysis.

Authors:  J M Nava-Sedeño; H Hatzikirou; R Klages; A Deutsch
Journal:  Sci Rep       Date:  2017-12-05       Impact factor: 4.379

3.  Probabilistic Inference for Dynamical Systems.

Authors:  Sergio Davis; Diego González; Gonzalo Gutiérrez
Journal:  Entropy (Basel)       Date:  2018-09-12       Impact factor: 2.524

4.  Brownian lithographic polymers of steric lock-and-key colloidal linkages.

Authors:  Tianren Yu; Thomas G Mason
Journal:  Sci Adv       Date:  2021-09-03       Impact factor: 14.136

  4 in total

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