Influence of Long-Range Interaction on Eigenvalues of Connection Matrix in One-Dimensional Ising Model

被引：0

作者：

Kryzhanovsky, B., V ^{[1
]}

Litinskii, L. B. ^{[1
]}

机构：

[1] Russian Acad Sci, Sci Res Inst Syst Anal, Moscow 117218, Russia

来源：

OPTICAL MEMORY AND NEURAL NETWORKS | 2020年 / 29卷 / 04期

关键词：

one-dimensional Ising model; long-range interaction; eigenvalues; spectrum density;

D O I：

10.3103/S1060992X20040049

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze a finite one-dimensional Ising system with periodic boundary conditions taking into account an arbitrary long-range interaction. We examine a discrete spectrum of eigenvalues of the spin connection matrix and a spectrum density of a continuous distribution obtained in the limit L -> infinity (L is the linear size of the system). We apply our results to particular cases of long-range interactions decreasing with distance.

引用

页码：293 / 296

页数：4

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