SELF-ORGANIZED CRITICALITY - SANDPILES, SINGULARITIES, AND SCALING

被引：32

作者：

CARLSON, JM ^{[1
]}

SWINDLE, GH ^{[1
]}

机构：

[1] UNIV CALIF SANTA BARBARA,DEPT STAT & APPL PROBABIL,SANTA BARBARA,CA 93106

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1995年 / 92卷 / 15期

关键词：

D O I：

10.1073/pnas.92.15.6712

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We present an overview of the statistical mechanics of self-organized criticality. We focus on the successes and failures of hydrodynamic description of transport, which consists of singular diffusion equations. When this description applies, it can predict the scaling features associated with these systems. We also identify a hard driving regime where singular diffusion hydrodynamics fails due to fluctuations and give an explicit criterion for when this failure occurs.

引用

页码：6712 / 6719

页数：8

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