近独立子系系统的统计规律(四)——巨正则分布函数  

The statistical law of the nearly independent particle system(4)——Grand canonical distribution function

作　　者：李洪芳[1] 罗胤[1] 陈伟康[1] 顾群[1] 钟万蘅[1] 

机构地区：[1]复旦大学物理系,上海200433

出　　处：《大学物理》2010年第1期8-12,共5页College Physics

基　　金：国家基础科学人才培养基金资助项目(J0730310)

摘　　要：根据吉布斯系综理论导出了由任意数目刚性粒子构成的力学系统的巨正则分布函数、化学势及粒子数和能量涨落公式.并介绍了刚球模型下,对二维和三维近独立子系系统巨正则分布的计算机模拟,结果与理论完全一致.Starting from the Gibbs ensemble theory, the grand canonical distribution function, chemical potential, number fluctuation and energy fluctuation formula of the nearly independent particle system that consists of any number of particles are derived. Based on the hard sphere model, we have performed the computer simulation for the grand canonical distribution function of 2D and 3D mechanic systems. Our results are in agreement with the theory.

关 键 词：巨正则系综 分布函数 化学势 粒子数涨落 计算机模拟 

分 类 号：O414.2[理学—理论物理]