NONLINEAR DYNAMICS OF THE CELLULAR-AUTOMATON GAME OF LIFE

Authors
GARCIA JBC GOMES MAF JYH TI REN TI SALES TRM
Citation
Jbc. Garcia et al., NONLINEAR DYNAMICS OF THE CELLULAR-AUTOMATON GAME OF LIFE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(5), 1993, pp. 3345-3351
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
48
Issue
5
Year of publication
1993
Pages
3345 - 3351
Database
ISI
SICI code
1063-651X(1993)48:5<3345:NDOTCG>2.0.ZU;2-F
Abstract
A statistical analysis of the ''game of Life'' due to Conway [Berlekam p, Conway, and Guy, Winning Ways for Your Mathematical Plays (Academic , New York, 1982), Vol. 2] is reported. The results are based on exten sive computer simulations starting with uncorrelated distributions of live sites at t=0. The number n (s, t) of clusters of s live sites at time t, the mean cluster size sBAR(t), and the diversity of sizes amon g other statistical functions are obtained. The dependence of the stat istical functions with the initial density of live sites is examined. Several scaling relations as well as static and dynamic critical expon ents are found.