Statistical mechanics of a dynamical system based on Conway's game of Life
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.
- Publication:
-
Journal of Statistical Physics
- Pub Date:
- September 1978
- DOI:
- 10.1007/BF01011727
- Bibcode:
- 1978JSP....19..293S
- Keywords:
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- Discrete dynamical systems;
- stochastic games