Statistics of toppling wave boundaries in deterministic and stochastic sandpile models

被引：0
|
作者：
Dashti-Naserabadi, H. [1 ]
Azimi-Tafreshi, N. [2 ]
Moghimi-Araghi, S. [1 ]
机构：
[1] Sharif Univ Technol, Dept Phys, Tehran, Iran
[2] Univ Aveiro, Dept Fis, P-3810193 Aveiro, Portugal
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 04期
关键词：
TANG-WIESENFELD SANDPILE; ERASED RANDOM-WALKS; CONFORMAL-INVARIANCE; CRITICAL EXPONENTS; UNIVERSALITY; PERCOLATION; SLE;
D O I：
10.1088/1751-8113/45/4/045001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study numerically the statistics of curves which form the boundaries of toppling wave clusters in the deterministic Bak, Tang and Wiesenfeld sandpile model and stochastic Manna model on a square lattice. We consider the Abelian version of each model. Multiple tests show that the boundary of toppling wave clusters in both deterministic and stochastic models can be described by SLE kappa curves with diffusivity kappa = 2.
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页数：12
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