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Universality Class of Probabilistic Cellular Automata

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Cellular Automata (ACRI 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2493))

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Abstract

The Ising-like phase transition is considered in probabilistic cellular automata (CA). The nonequilibrium CA with Toom rule are compared to standard equilibrium lattice systems to verify influence of synchronous vs asynchronous updating. It was observed by Marcq et al. [Phys.Rev.E 55(1997) 2606] that the mode of updating separates systems of coupled map lattices into two distinct universality classes. The similar partition holds in case of CA. CA with Toom rule and synchronous updating represent the weak universality class of the Ising model, while Toom CA with asynchronous updating fall into the Ising universality class.

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Authors and Affiliations

  1. Institute of Theoretical Physics and Astrophysics, Gdańsk University, 80-952, Gdańsk, ul.Wita Stwosza 57, Poland

    Danuta Makowiec & Piotr Gnaciński

Authors
  1. Danuta Makowiec
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  2. Piotr Gnaciński
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Systems and Communication, University of Milano-Bicocca, Via Bicocca degli Arcimboldi, 8, 20126, Milan, Italy

    Stefania Bandini

  2. Computer Science Department, University of Geneva, 24, Rue du General Dufour, 1211, Geneva 4, Switzerland

    Bastien Chopard

  3. Computer Science Institute Faculty of Sciences, University of Lausanne, 1015, Lausanne, Switzerland

    Marco Tomassini

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© 2002 Springer-Verlag Berlin Heidelberg

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Makowiec, D., Gnaciński, P. (2002). Universality Class of Probabilistic Cellular Automata. In: Bandini, S., Chopard, B., Tomassini, M. (eds) Cellular Automata. ACRI 2002. Lecture Notes in Computer Science, vol 2493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45830-1_10

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  • DOI: https://doi.org/10.1007/3-540-45830-1_10

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  • Print ISBN: 978-3-540-44304-9

  • Online ISBN: 978-3-540-45830-2

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