Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections

被引：15
|
作者：
van Enter, Aernout C. D. [1 ]
Hulshof, Tim [1 ]
机构：
[1] Inst Mat & Comp Sci, NL-9700 AV Groningen, Netherlands
来源：
JOURNAL OF STATISTICAL PHYSICS | 2007年 / 128卷 / 06期
关键词：
bootstrap percolation; cellular automaton; finite size effects; metastability;
D O I：
10.1007/s10955-007-9377-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this note we analyse an anisotropic, two-dimensional bootstrap percolation model introduced by Gravner and Griffeath. We present upper and lower bounds on the finite-size effects. We discuss the similarities with the semi-oriented model introduced by Duarte.
引用
收藏
页码：1383 / 1389
页数：7
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