EXACT SOLUTION OF A ONE-DIMENSIONAL DETERMINISTIC SANDPILE MODEL

被引：2

作者：

CHANG, D

LEE, SC

TZENG, WJ

机构：

[1] ACAD SINICA,INST PHYS,TAIPEI 115,TAIWAN

[2] NATL CHUNGHSING UNIV,DEPT PHYS,TAICHUNG 40227,TAIWAN

来源：

PHYSICAL REVIEW E | 1995年 / 51卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.51.5515

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：

Using the transfer matrix method, we give the exact solution of a deterministic sandpile model for arbitrary N, where N is the size of a single toppling. The one- and two-point functions are given in term of the eigenvalues of an N×N transfer matrix. All the n-point functions can be found in the same way. Application of this method to a more general class of models is discussed. We also present a quantitative description of the limit cycle (attractor) as a multifractal. © 1995 The American Physical Society.

引用

页码：5515 / 5519

页数：5

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