Metastable states in spin glasses and disordered ferromagnets

C. M. Newman, D. L. Stein

Research output: Contribution to journalArticle

Abstract

We study analytically M-spin-flip stable states in disordered short-ranged Ising models (spin glasses and ferromagnets) in all dimensions and for all M. Our approach is primarily dynamical, and is based on the convergence of [Formula Presented] a zero-temperature dynamical process with flips of lattice animals up to size M and starting from a deep quench, to a metastable limit [Formula Presented] The results (rigorous and nonrigorous, in infinite and finite volumes) concern many aspects of metastable states: their numbers, basins of attraction, energy densities, overlaps, remanent magnetizations, and relations to thermodynamic states. For example, we show that their overlap distribution is a [Formula Presented] function at zero. We also define a dynamics for [Formula Presented] which provides a potential tool for investigating ground state structure.

Original languageEnglish (US)
Pages (from-to)5244-5260
Number of pages17
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume60
Issue number5
DOIs
StatePublished - 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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