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.
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页码：1167 / 1180
页数：14
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