The Abelian Manna model on various lattices in one and two dimensions

被引：27

作者：

Hoai Nguyen Huynh ^{[1
]}

Pruessner, Gunnar ^{[2
]}

Chew, Lock Yue ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Phys & Appl Phys, Singapore 637371, Singapore

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2011年

关键词：

critical exponents and amplitudes (experiment); finite-size scaling; self-organized criticality (experiment); sandpile models (experiment); SELF-ORGANIZED CRITICALITY; SANDPILE MODELS; CRITICAL EXPONENTS; PHASE-TRANSITIONS; 1/F NOISE; UNIVERSALITY; PILE; PERCOLATION; BEHAVIOR;

D O I：

10.1088/1742-5468/2011/09/P09024

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We perform a high-accuracy moment analysis of the avalanche size, duration and area distribution of the Abelian Manna model on eight two-dimensional and four one-dimensional lattices. The results provide strong support for establishing universality of exponents and moment ratios across different lattices and a good survey for the strength of corrections to scaling which are notorious in the Manna universality class. The results are compared against previous work done on the Manna model, Oslo model and directed percolation. We also confirm various scaling relations.

引用

页数：30

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