Disorder Chaos in the Spherical Mean-Field Model

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

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)417-429
Number of pages13
JournalJournal of Statistical Physics
Volume160
Issue number2
DOIs
StatePublished - Jul 26 2015

Keywords

  • Disorder chaos
  • Mean-field model
  • Replica symmetry breaking

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