The diagram approximation for lattice systems

被引：14

作者：

Vikhrenko, VS ^{[1
]}

Groda, YG ^{[1
]}

Bokun, GS ^{[1
]}

机构：

[1] Belarussian State Technol Univ, Minsk 220050, BELARUS

来源：

PHYSICS LETTERS A | 2001年 / 286卷 / 2-3期

关键词：

lattice gas; chemical potential; distribution functions; diagram expansion; phase diagram; Monte Carlo simulation;

D O I：

10.1016/S0375-9601(01)00408-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We suggest a new approximation for evaluating the thermodynamical and structural characteristics of lattice gases with attractive nearest neighbor interactions. Mean potentials, which nullify the two-vertex diagram contributions to the free energy diagram expansion, are introduced. The contribution of the lowest-order irreducible diagram with an adjustable parameter is taken into account. This parameter is determined from the requirement that the critical temperature coincides with its exact or best known value. The resulting expressions for the free energy, chemical potential and distribution functions are given in an analytical form. In spite of its simplicity, this approximation yields surprisingly accurate results for different types of two- and three-dimensional lattices. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：127 / 133

页数：7

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