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Phase Transitions of Cellular Automata

  • Franco Bagnoli
  • Raúl Rechtman
Chapter
Part of the Emergence, Complexity and Computation book series (ECC, volume 27)

Abstract

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of the Monte Carlo approach for a discrete system. We then formulate the cellular automaton problem using simple models and illustrate different types of possible phase transitions: density phase transitions of first and second order, damage spreading, dilution of deterministic rules, asynchronism-induced transitions, synchronization phenomena, chaotic phase transitions and the influence of the topology.

Notes

Acknowledgements

This work was partially supported by EU projects 288021 (EINS – Network of Excellence in Internet Science) and project PAPIIT-DGAPA-UNAM IN109213.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of Physics and Astronomy and CSDCUniversity of FlorenceFlorenceItaly
  2. 2.INFN, sez. FirenzeSesto FiorentinoItaly
  3. 3.Instituto de Energías RenovablesUniversidad Nacional Autónoma de MéxicoTemixcoMexico

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