STRUCTURE OF 2-DIMENSIONAL SANDPILE .1. HEIGHT PROBABILITIES

被引：125

作者：

PRIEZZHEV, VB

机构：

[1] Laboratory of theoretical Physics, Joint Institute for Nuclear Research, Dubna

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 74卷 / 5-6期

关键词：

SELF-ORGANIZED CRITICALITY; SANDPILES; SPANNING TREES; HEIGHT PROBABILITIES;

D O I：

10.1007/BF02188212

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The height probabilities of the two-dimensional Abelian sandpile model are the fractional numbers of lattice sites having heights 1, 2, 3, 4. A combinatorial method for evaluation of these quantities is proposed. The method is based on mapping the set of allowed sandpile configurations onto the set of spanning trees covering a given lattice. Exact analytical expressions for all probabilities are obtained.

引用

页码：955 / 979

页数：25

共 24 条

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