Free Energy and Complexity of Spherical Bipartite Models

Antonio Auffinger*, Wei Kuo Chen

*Corresponding author for this work

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

We investigate both free energy and complexity of the spherical bipartite spin glass model. We first prove a variational formula in high temperature for the limiting free energy based on the well-known Crisanti–Sommers representation of the mixed p-spin spherical model. Next, we show that the mean number of local minima at low levels of energy is exponentially large in the size of the system and we derive a bound on the location of the ground state energy.

Original languageEnglish (US)
Pages (from-to)40-59
Number of pages20
JournalJournal of Statistical Physics
Volume157
Issue number1
DOIs
StatePublished - Oct 1 2014

Keywords

  • Bipartite models
  • Complexity
  • Free energy
  • Spin glasses

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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