Statistical mechanics of a dynamical system based on Conway's game of Life
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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 wordsDiscrete dynamical systems stochastic games
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- 1.M. Gardner,Sci. Am. 223(Oct.):120 (1970);223(Nov.):116 (1970);224(Jan.):104 (1971);224(Feb.):112 (1971);224(Apr.):114 (1970);226(Jan.):104 (1972).Google Scholar
- 2.W. W. Wood and J. J. Erpenbeck,Ann. Rev. Phys. Chem. 27:319 (1976); F. H. Ree,Physical Chemistry. An Advanced Treatise, D. Henderson, ed. (Academic Press, 1971).Google Scholar
- 3.M. Dresden and D. Wong,Proc. Nat. Acad. Sci. 72:956 (1975).Google Scholar
- 4.R. J. Glauber,J. Math. Phys. 4:294 (1963).Google Scholar
- 5.L. S. Schulman and P. E. Seiden, IBM Research Center Report RC 6802 (November 1977) (copies available from the author).Google Scholar
- 6.F. Reif,Fundamentals of Statistical Physics and Thermal Physics (McGraw-Hill, 1965), Chapter 3.Google Scholar