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Statistical mechanics of a dynamical system based on Conway's game of Life |
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| Authors: | L S Schulman P E Seiden |
| Institution: | (1) Department of Physics, The Technion, Haifa, Israel;(2) IBM Thomas J. Watson Research Center, Yorktown Heights, New York;(3) Present address: Department of Physics, The Technion, Haifa, Israel;(4) Present address: Physics Department, Indiana University, Bloomington, Indiana;(5) IBM Research Center, Yorktown Heights, New York |
| 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.Lady Davis Visiting Scientist at the Technion 1974–75. |
| Keywords: | Discrete dynamical systems stochastic games |
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