Introduction to the sandpile model

被引：51

作者：

Ivashkevich, EV

Priezzhev, VB

机构：

[1] Dublin Inst Adv Studies, Dublin 4, Ireland

[2] Joint Inst Nucl Res, Theoret Phys Lab, Dubna 141980, Russia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1998年 / 254卷 / 1-2期

关键词：

self-organized criticality; sandpile model;

D O I：

10.1016/S0378-4371(98)00012-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This article is based on a talk given by one of us (EVI) at the conference "StatPhys-Taipei-1997". It overviews the exact results in the theory of the sandpile model and discusses briefly the yet unsolved problem of calculation of avalanche distribution exponents. The key ingredients include the analogy with the critical reaction-diffusion system, the spanning tree representation of height configurations and the decomposition of the avalanche process into waves of topplings. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：97 / 116

页数：20

共 31 条

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