Temperature Chaos in Some Spherical Mixed p-Spin Models

Wei Kuo Chen, Dmitry Panchenko

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We give two types of examples of the spherical mixed even-p-spin models for which chaos in temperature holds. These complement some known results for the spherical pure p-spin models and for models with Ising spins. For example, in contrast to a recent result of Subag who showed absence of chaos in temperature in the spherical pure p-spin models for p≥ 3 , we show that even a smaller order perturbation induces temperature chaos.

Original languageEnglish (US)
Pages (from-to)1151-1162
Number of pages12
JournalJournal of Statistical Physics
Volume166
Issue number5
DOIs
StatePublished - Mar 1 2017

Bibliographical note

Funding Information:
Wei-Kuo Chen: Partially supported by NSF Grant DMS-1642207 and Hong Kong Research Grants Council GRF-14302515. Dmitry Panchenko: Partially supported by NSERC.

Keywords

  • Chaos in temperature
  • Spherical models
  • Spin glasses

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