Spectral Characteristics of a Finite 2D Ising Model

被引：0

作者：

Karandashev I.M. ^{[1
,2
]}

Kryzhanovsky B.V. ^{[1
]}

Malsagov M.Y. ^{[1
]}

机构：

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

[2] Peoples Friendship University of Russia (RUDN University), Moscow

来源：

Optical Memory and Neural Networks (Information Optics) | 2018年 / 27卷 / 03期

关键词：

2D Ising model; critical point; energy dispersion; internal energy; partition function; spectral density;

D O I：

10.3103/S1060992X18030025

中图分类号：

O21 [概率论与数理统计];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Abstract: The paper gives the results of a numerical simulation of a two-dimensional Ising model built on finite lattices of dimension L = 50, 100, …, 500. Approximate analytical formulae for the spectral energy density are offered. Derived from Onsager’s solution with consideration of the finite size of the system, the formulae agree well with the simulation results. © 2018, Allerton Press, Inc.

引用

页码：147 / 151

页数：4

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