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.
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Lady Davis Visiting Scientist at the Technion 1974–75.
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Schulman, L.S., Seiden, P.E. Statistical mechanics of a dynamical system based on Conway's game of Life. J Stat Phys 19, 293–314 (1978). https://doi.org/10.1007/BF01011727
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DOI: https://doi.org/10.1007/BF01011727