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Journal of Statistical Physics

, Volume 19, Issue 3, pp 293–314 | Cite as

Statistical mechanics of a dynamical system based on Conway's game of Life

  • L. S. Schulman
  • P. E. Seiden
Articles

Abstract

We study a discrete dynamical system whose evolution is governed by rules similar to those of Conway's game of Life but also include a stochastic element (parametrized by a “temperature”). Statistical properties that are examined are density as a function of temperature and entropy (suitably defined). A phase transition and a certain “thermodynamic” constant of the motion are observed.

Key words

Discrete dynamical systems stochastic games 

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Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • L. S. Schulman
    • 1
    • 2
  • P. E. Seiden
    • 1
    • 2
  1. 1.Department of PhysicsThe TechnionHaifaIsrael
  2. 2.IBM Thomas J. Watson Research CenterYorktown Heights

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