Critical behavior of mean-field spin glasses on a dilute random graph

被引：6

作者：

De Sanctis, Luca ^{[1
]}

Barra, Adriano ^{[2
]}

Folli, Viola ^{[2
]}

机构：

[1] Univ Bologna, Dipartimento Matemat & Psicol, I-40126 Bologna, Italy

[2] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 21期

关键词：

D O I：

10.1088/1751-8113/41/21/215005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We provide a rigorous strategy to find the critical exponents of the overlaps for dilute spin glasses, in the absence of an external field. Such a strategy is based on the expansion of a suitably perturbed average of the overlaps, which is used in the formulation of the free energy as the difference between a cavity part and the derivative of the free energy itself, considered as a function of the connectivity of the model. We assume the validity of certain reasonable approximations, equivalent to assuming a second-order transition, e. g. that higher powers of overlap monomials are of smaller magnitude near the critical point, of which we do not provide a rigorous proof.

引用

页数：9