MONTE-CARLO RENORMALIZATION-GROUP STUDY OF SELF-ORGANIZED CRITICALITY

被引:6
作者
GROSSMANN, B
GUO, H
GRANT, M
机构
[1] Department of Physics, McGill University, Rutherford Building, Montréal, Que. H3A 2T8
来源
PHYSICAL REVIEW A | 1990年 / 41卷 / 08期
关键词
D O I
10.1103/PhysRevA.41.4195
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We have studied a class of dynamical models exhibiting self-organized criticality, which have recently been introduced by Bak, Tang, and Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987)] by the Monte Carlo renormalization-group (MCRG) technique. In particular, we estimate critical exponents for the sandpile model in dimensions d=2 and 3 by MCRG, and present numerical simulations for d=4, which is thought to be the upper critical dimension. Our results are to higher precision than, although consistent with, the original numerical work on the problem. We further compare our results to those of a recent conjecture. © 1990 The American Physical Society.
引用
收藏
页码:4195 / 4198
页数:4
相关论文
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