Analytical expressions for a finite-size 2D Ising model

被引：0

作者：

Karandashev I.M. ^{[1
]}

Kryzhanovsky B.V. ^{[1
]}

Malsagov M.Y. ^{[1
]}

机构：

[1] Scientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow

来源：

Karandashev, I.M. (karandashev@niisi.ras.ru) | 1600年 / Allerton Press Incorporation卷 / 26期

关键词：

critical point; free energy; heat capacity; partition function;

D O I：

10.3103/S1060992X17030031

中图分类号：

学科分类号：

摘要：

Numerical methods are used to examine the thermodynamic characteristics of the twodimensional Ising model as a function of the number of spins N. Onsager’s solution is generalized to a finite-size lattice, and experimentally validated analytical expressions for the free energy and its derivatives are computed. The heat capacity at the critical point is shown to grow logarithmically with N. Due to the finite extent of the system the critical temperature can only be determined to some accuracy. © 2017, Allerton Press, Inc.

引用

页码：165 / 171

页数：6

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