A BRANCHING-PROCESS MODEL FOR SAND AVALANCHES

被引：8
|
作者：
GARCIAPELAYO, R
SALAZAR, I
SCHIEVE, WC
机构：
[1] Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems, Physics Department, University of Texas at Austin, Austin, 78712, Texas
来源：
JOURNAL OF STATISTICAL PHYSICS | 1993年 / 72卷 / 1-2期
关键词：
SELF-ORGANIZED CRITICALITY; AVALANCHES; BRANCHING PROCESSES; DYNAMICAL CRITICAL PHENOMENA; 1/F NOISE;
D O I：
10.1007/BF01048045
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An analytically solvable model for sand avalanches of noninteracting grains of sand, based on the Chapman-Kolmogorov equations, is presented. For a single avalanche, distributions of lifetimes, sizes of overflows and avalanches, and correlation functions are calculated. Some of these are exponentials, some are power laws. Spatially homogeneous distributions of avalanches are also studied. Computer simulations of avalanches of interacting grains of sand are compared to the solutions to the Chapman-Kolmogorov equations. We find that within the range of parameters explored in the simulation, the approximation of noninteracting grains of sand is a good one.
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页码：167 / 187
页数：21
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