Disorder Chaos in the Spherical Mean-Field Model

被引：13

作者：

Chen, Wei-Kuo ^{[1
]}

Hsieh, Hsi-Wei ^{[2
]}

Hwang, Chii-Ruey ^{[2
]}

Sheu, Yuan-Chung ^{[3
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Acad Sinica, Inst Math, Taipei, Taiwan

[3] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan

来源：

JOURNAL OF STATISTICAL PHYSICS | 2015年 / 160卷 / 02期

关键词：

Disorder chaos; Replica symmetry breaking; Mean-field model; SHERRINGTON-KIRKPATRICK MODEL; SPIN MODELS;

D O I：

10.1007/s10955-015-1264-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the problem of disorder chaos in the spherical mean-field model. It concerns the behavior of the overlap between two independently sampled spin configurations from two Gibbs measures with the same external parameters. The prediction states that if the disorders in the Hamiltonians are slightly decoupled, then the overlap will be concentrated near a constant value. Following Guerra's replica symmetry breaking scheme, we establish this at the levels of the free energy and the Gibbs measure.

引用

页码：417 / 429

页数：13

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