EXTENDED MEAN-FIELD STUDY OF A STOCHASTIC CELLULAR-AUTOMATON

被引：13
|
作者：
SZABO, G [1 ]
ODOR, G [1 ]
机构：
[1] UNIV ILLINOIS,DEPT PHYS,CHICAGO,IL 60607
来源：
PHYSICAL REVIEW E | 1994年 / 49卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.49.2764
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
Extended mean-field theory is used for studying the one-dimensional stochastic cellular automaton with Rule 18 defined by Wolfram [Rev. Mod. Phys. 55, 601 (1983)]. The analysis is carried out at different levels taking n-point and n-pair correlations explicitly into consideration. The pair approximations reproduce the exact results in the deterministic limit. The critical behavior is studied by the Pade approximant method and the predicted critical probability and exponent agree with previous data within a few percent.
引用
收藏
页码：2764 / 2768
页数：5
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