计算物理 ›› 1997, Vol. 14 ›› Issue (3): 380-384.

• 论文 • 上一篇    

一个用于变分累积展开计算的MATHEMATICA软件包(VCE1.0)

陈莹, 朱允伦   

  1. 北京大学物理系, 北京 100871
  • 收稿日期:1996-06-03 出版日期:1997-05-25 发布日期:1997-05-25
  • 基金资助:
    国家自然科学基金

A MATHEMATICA PACKAGE (VCE 1.0) TO USE FOR VARIATIONAL CUMULANT EXPANSION

Chen Ying, Zhu Yunlun   

  1. Department of Physics Peking University, Beijing 100871
  • Received:1996-06-03 Online:1997-05-25 Published:1997-05-25

摘要: 利用MATHEM ATICA软件包的符号运算功能,发展了一个在计算机上实现对含近邻相互作用的格点模型进行变分累积展开研究的程序包(VCE1.0)。高阶连接图的计数及自由能等的解析表达式都可用这个程序包直接得到。该程序包可用于一大类格点规范理论与统计物理模型的相结构的研究。

关键词: 格点规范, 统计模型, 相结构, 符号运算, 计算机软件

Abstract: Using symbolic capabilities of MATHEMATICA software,a package(VCE 1.0) is developed to use for variational cumulant expansion study in lattice models with neiboring interaction.Enumerating high order connected diagrams and analytical expansions of free energy and so on can be obtained by this package.This package can also be used to study some models of lattice gauge theory and statistical physics.

Key words: lattice gauge theory, statistical moedls, phase structure, symbolic operation, computer software

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