Nonequilibrium Physics Aspects of Probabilistic Cellular Automata

  title={Nonequilibrium Physics Aspects of Probabilistic Cellular Automata},
  author={Christian Maes},
  journal={arXiv: Statistical Mechanics},
  • C. Maes
  • Published 10 May 2016
  • Computer Science
  • arXiv: Statistical Mechanics
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… 

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