用Ising模型的Bragg-Williams近似研究二元合金和格气模型  

The Binary Alloy and Gas Lattice Model Researched by Bragg-Williams Approximation of Ising model

作　　者：胡益丰[1] 沈大华[1] 朱小芹[1] 唐煌[1] 裴明旭[1] 张剑豪[1] 

机构地区：[1]江苏技术师范学院数理学院,江苏常州213001

出　　处：《江苏理工学院学报》2008年第1期17-20,共4页Journal of Jiangsu University of Technology

基　　金：江苏省普通高校自然科学研究计划资助项目(07KJD430041);江苏技术师范学院青年科研基金项目(KYY06-094);国家自然科学基金项目(50361002)

摘　　要：运用平均场理论得出了伊辛点阵的布喇格——威廉斯近似解,后将之运用于二元合金的有序-无序相变和格气模型。得到了二元合金体系的能量函数及各占据数之间的关系,解出了格气模型的配分函数,并且找出了Ising模型、二元合金和格气模型三者之间的对应关系。Bragg-Williams approximate solution of the Ising lattice is obtained by using mean field theory. Then it is applied to the gas lattice model and the order-disorder phase transformation of binary alloy. The energy function of binary alloying system and the relationship among occupation numbers are derived. And the partition function of the gas lattice model is solved. Finally, the relationship among Ising model, binary alloy and lattice model is reviewed.

关 键 词：伊辛模型 配分函数 二元合金 格气模型 

分 类 号：O414.2[理学—理论物理]