EXACT-SOLUTIONS FOR A MEAN-FIELD ABELIAN SANDPILE

被引：36

作者：

JANOWSKY, SA

LABERGE, CA

机构：

[1] RUTGERS UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

[2] RUTGERS UNIV,DEPT PHYS,PISCATAWAY,NJ 08855

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 19期

关键词：

D O I：

10.1088/0305-4470/26/19/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a model for a sandpile, with N sites, critical height N and each site connected to every other site. It is thus a mean-field model in the spin-glass sense. We find an exact solution for the steady-state probability distribution of avalanche sizes, and discuss its asymptotics for large N.

引用

页码：L973 / L980

页数：8

共 17 条

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