Small Perturbations of a Spin Glass System

被引：3

作者：

Arguin, Louis-Pierre ^{[1
]}

Kistler, Nicola ^{[2
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2009年 / 135卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

Mean field spin glasses; Extreme value theory; Parisi theory; Ultrametricity; STABILITY;

D O I：

10.1007/s10955-009-9694-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show through a simple example that perturbations of the Hamiltonian of a spin glass which cannot be detected at the level of the free energy can completely alter the behavior of the overlap. In particular, perturbations of order O(log N), with N -> a the size of the system, suffice to have ultrametricity emerge in the thermodynamical limit.

引用

页码：1167 / 1180

页数：14

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