SELF-ORGANIZED CRITICALITY IN VECTOR AVALANCHE AUTOMATA

被引:28
作者
MCNAMARA, B [1 ]
WIESENFELD, K [1 ]
机构
[1] GEORGIA INST TECHNOL, SCH PHYS, ATLANTA, GA 30332 USA
来源
PHYSICAL REVIEW A | 1990年 / 41卷 / 04期
关键词
D O I
10.1103/PhysRevA.41.1867
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A new class of cellular automata is observed to evolve to a self-organized critical state. These vector automata obey a threshold relaxation condition that depends on the gradient of a scalar field, which is locally conserved except at the system boundaries. Both square and triangular lattices are studied and lead to virtually identical statistics; however, a particular (and natural) choice of boundary shape for the square lattice leads to trivial dynamics characteristic of a minimally stable configuration. © 1990 The American Physical Society.
引用
收藏
页码:1867 / 1873
页数:7
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