一个含崩塌概率的一维沙堆模型

计算物理 ›› 2007, Vol. 24 ›› Issue (1): 105-108.

一个含崩塌概率的一维沙堆模型

周海平^1,3, 蔡绍洪^1,2, 刘晓春^1,3

1. 贵州大学物理系, 贵州贵阳 550025;
2. 贵州财经学院, 贵州贵阳 550004;
3. 贵州省光电子技术及应用重点实验室, 贵州贵阳 550025

收稿日期:2005-09-14 修回日期:2006-03-01 出版日期:2007-01-25 发布日期:2007-01-25
作者简介:周海平(1978-),男,江西宜春,硕士生,从事颗粒物质研究.
基金资助:
国家自然科学基金(10347003);贵州省科学技术基金(20043017)资助项目

One-dimensional Sandpile Model with Avalanche Probability

ZHOU Haiping^1,3, CAI Shaohong^1,2, LIU Xiaochun^1,3

1. Department of Physics, Guizhou University, Guiyang 550025, China;
2. Guizhou College of Finance and Economics, Guiyang 550004, China;
3. Key Lab. for Photoeletric Technology and Application, Guiyang 550025, China

Received:2005-09-14 Revised:2006-03-01 Online:2007-01-25 Published:2007-01-25

摘要/Abstract

摘要： 在一维沙堆模型中加入了崩塌概率,并用元胞自动机的方法进行计算机模拟,发现该模型具有自组织临界性,其临界指数α=1.50±0.02,并且还发现只有当崩塌概率处于0.05~0.98时,系统才体现出自组织临界性.另外,根据该模型的结果,解释了一维米粒堆实验中出现的自组织临界现象.

关键词: 自组织临界, BTW模型, 崩塌

Abstract: We propose a one-dimensional sandpile model with avalanche probability.The simulation is performed with the cellular automata method.As the local slope closes to the critical slope sands avalanche with a probability.The avalanche size and the average local slope are studied at different avalanche probabilities. The self-organized critical (SOC) behavior is studied at critical exponent α=1.50±0.02 as the avalanche probability is between 0.05 and 0.98.The average local slope descends with the increase of collapse probability.A sharp transition occurs between the trival behavior and SOC behavior in this model.The SOC phenomenon in one-demensional rice-pile experiment is well explained.

Key words: self-organized criticla, Back Tang Weisenfeld model, avalanche

中图分类号:

O415.2

周海平, 蔡绍洪, 刘晓春. 一个含崩塌概率的一维沙堆模型[J]. 计算物理, 2007, 24(1): 105-108.

ZHOU Haiping, CAI Shaohong, LIU Xiaochun. One-dimensional Sandpile Model with Avalanche Probability[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(1): 105-108.