Expansion and contraction of avalanches in the two-dimensional Abelian sandpile

被引：15

作者：

Ktitarev, DV ^{[1
]}

Priezzhev, VB

机构：

[1] Gerhard Mercator Univ, FB 10, D-47048 Duisburg, Germany

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

[3] Joint Inst Nucl Res, Lab Comp Tech, Dubna 141980, Russia

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.58.2883

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a detailed analysis of large scale simulations of avalanches in the two-dimensional Abelian sandpile model. We compare statistical properties of two different decompositions of avalanches into clusters of topplings and waves of topplings. Auxiliary critical exponents are introduced and the existence of the exponent governing the contraction of avalanches claimed in our previous work [Priezzhev ct al., Phys. Rev. Lett. 76, 2093 (1996)] is confirmed. We also give more elaborate argumentation for the exact values of the exponents characterizing the statistics of waves.

引用

页码：2883 / 2888

页数：6

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