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Probabilistic Cellular AutomataNonequilibrium Physics Aspects of Probabilistic Cellular Automata

Probabilistic Cellular Automata: Nonequilibrium Physics Aspects of Probabilistic Cellular Automata [Probabilistic cellular automata (PCA) are used to model a variety of discrete spatially extended systems undergoing parallel-updating. We propose an embedding of a number of classical nonequilibrium concepts in the PCA-world. We start from time-symmetric PCA, satisfying detailed balance, and we give their Kubo formula for linear response. Close-to-detailed balance we investigate the form of the McLennan distribution and the minimum entropy production principle. More generally, when time-symmetry is broken in the stationary process, there is a fluctuation symmetry for a corresponding entropy flux. For linear response around nonequilibria we also give the linear response which is now not only entropic in nature.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Probabilistic Cellular AutomataNonequilibrium Physics Aspects of Probabilistic Cellular Automata

Part of the Emergence, Complexity and Computation Book Series (volume 27)
Editors: Louis, Pierre-Yves; Nardi, Francesca R.
Maes, Christian
Probabilistic Cellular Automata — Feb 22, 2018
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Publisher
Springer International Publishing
Copyright
© Springer International Publishing AG 2018
ISBN
978-3-319-65556-7
Pages
119 –128
DOI
10.1007/978-3-319-65558-1_9
Publisher site
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Abstract

[Probabilistic cellular automata (PCA) are used to model a variety of discrete spatially extended systems undergoing parallel-updating. We propose an embedding of a number of classical nonequilibrium concepts in the PCA-world. We start from time-symmetric PCA, satisfying detailed balance, and we give their Kubo formula for linear response. Close-to-detailed balance we investigate the form of the McLennan distribution and the minimum entropy production principle. More generally, when time-symmetry is broken in the stationary process, there is a fluctuation symmetry for a corresponding entropy flux. For linear response around nonequilibria we also give the linear response which is now not only entropic in nature.]

Published: Feb 22, 2018

Keywords: Nonequilibrium PCA; Discrete time physics; Minimum entropy production principle

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