力网系统理论中分布函数的积分

J4 ›› 2011, Vol. 46 ›› Issue (7): 35-38.

力网系统理论中分布函数的积分

张兴刚,胡林

贵州大学理学院, 贵州贵阳 550025

收稿日期:2010-12-08 出版日期:2011-07-20 发布日期:2011-09-08
通讯作者: 胡林(1953- ),女,教授,主要从事颗粒物质物理学实验研究. Email:hulin53@sina.com
作者简介:张兴刚(1980- ),男,讲师,主要从事统计物理和凝聚态理论的研究. Email: sci.xgzhang@gzu.edu.cn
基金资助:
贵州大学自然科学青年科研基金项目(2009011);贵州省省长基金资助项目(201010)

The integral of probability density function in force network ensemble

ZHANG Xing-gang, HU Lin

College of Science, Guizhou University, Guiyang 550025, Guzhou, China

Received:2010-12-08 Online:2011-07-20 Published:2011-09-08

摘要/Abstract

摘要：

基于力网系综理论,给出了两种不同的力空间中分布函数的一般形式,并且分别采用直接积分法和付立叶变换法计算分布函数的积分。通过对比发现直接积分法在K值比较小时有优势,而付立叶变换法在N值较小时有优势,两种方法都能解决一般性的积分问题。

关键词: 静态颗粒体系;力空间;力网系综

Abstract:

Based on the force network ensemble theory, a general form of probability density function for force network ensemble is formulated in two different kinds of force phase space. Direct integration method and fourier transform method are proposed to solve the integral problem of probability density function.By comparing this two methods, it’s indicated that they all can solve this problem effectively,and the direct integration method is more convenience when K is small,while the fourier transform method has an advantage when N is small.

Key words: static granular system; force phase space;ensemble of force networks

张兴刚,胡林. 力网系统理论中分布函数的积分[J]. J4, 2011, 46(7): 35-38.

ZHANG Xing-gang, HU Lin. The integral of probability density function in force network ensemble[J]. J4, 2011, 46(7): 35-38.

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