EFFECT OF BOUNDARY-CONDITIONS ON SCALING IN THE GAME OF LIFE

Authors
BLOK HJ BERGERSEN B
Citation
Hj. Blok et B. Bergersen, EFFECT OF BOUNDARY-CONDITIONS ON SCALING IN THE GAME OF LIFE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(5), 1997, pp. 6249-6252
Citations number
11
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
55
Issue
5
Year of publication
1997
Part
B
Pages
6249 - 6252
Database
ISI
SICI code
1063-651X(1997)55:5<6249:EOBOSI>2.0.ZU;2-Q
Abstract
The debate as to whether the ''game of Life'' is self-organized critic al remains unresolved. We present evidence that boundary conditions pl ay an important role in the scaling behavior, resulting in apparently contradictory results. We develop an analytic form for the scaling fun ction, and demonstrate that periodic boundaries force saturation, whil e open boundaries exhibit no such transitions on similar scales. We al so consider the removal of boundaries altogether.