Disorder Chaos in the Spherical Mean-Field Model

Wei Kuo Chen*, Hsi Wei Hsieh, Chii Ruey Hwang, Yuan-Chung Sheu

*Corresponding author for this work

研究成果: Article同行評審

9 引文 斯高帕斯(Scopus)

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.

原文English
頁(從 - 到)417-429
頁數13
期刊Journal of Statistical Physics
160
發行號2
DOIs
出版狀態Published - 26 七月 2015

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