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On the law of entropy increase of some cellular automata on \(\mathbb{Z}^d\)

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Publication:1285139
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DOI10.1007/BF02765545zbMath0924.58046MaRDI QIDQ1285139

Toshio Niwa

Publication date: 26 April 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

Boltzmann-type entropyintegral lattice \(\mathbb{Z}^d\)time-reversible cellular automata


Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Ergodic theory (37A99)


Related Items

Dynamical properties of a cellular automaton on a countable group, CONSTRUCTION OF REVERSIBLE LATTICE MOLECULAR AUTOMATA



Cites Work

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  • A nonequilibrium entropy for dynamical systems
  • On the time evolution of the Boltzmann entropy
  • On the law of entropy increasing of a one-dimensional infinite system
  • On the law of entropy increasing of a one-dimensional infinite system. II
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