CRITICAL-POINTS OF 2-DIMENSIONAL BOOTSTRAP PERCOLATION-LIKE CELLULAR AUTOMATA

被引：40

作者：

SCHONMANN, RH

机构：

[1] Instituto de Matemática e Estatistica da Universidade de São Paulo, São Paulo, SP

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 58卷 / 5-6期

关键词：

bootstrap percolation; Cellular automata; critical points;

D O I：

10.1007/BF01026574

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Cellular automata in two dimensions that generalize the bootstrap percolation dynamics are considered, focusing on the threshold pc of the initial density for convergence to total occupancy to occur; these models are classified according to pc being 0, 1, or strictly between these extreme values. Explicit upper and lower bounds are provided in the third case. © 1990 Plenum Publishing Corporation.

引用

页码：1239 / 1244

页数：6

共 4 条

[1] DIFFUSION PERCOLATION .1. INFINITE TIME LIMIT AND BOOTSTRAP PERCOLATION [J].