Hyperscaling Inequalities for the Contact Process and Oriented Percolation

被引：0
|
作者：
Akira Sakai
机构：
[1] University of British Columbia,Department of Mathematics
来源：
Journal of Statistical Physics | 2002年 / 106卷
关键词：
contact process; oriented percolation; critical exponent; hyperscaling inequality; upper critical dimension;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The contact process and oriented percolation are expected to exhibit the same critical behavior in any dimension. Above their upper critical dimension dc, they exhibit the same critical behavior as the branching process. Assuming existence of the critical exponents, we prove a pair of hyperscaling inequalities which, together with the results of refs. 16 and 18, implies dc=4.
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页码：201 / 211
页数：10
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