The effect of pure state structure on nonequilibrium dynamics

C. M. Newman, D. L. Stein

Research output: Contribution to journalArticle

Abstract

Motivated by short-range Ising spin glasses, we review some rigorous results and their consequences for the relation between the number/nature of equilibrium pure states and nonequilibrium dynamics. Two of the consequences for spin glass dynamics following an instantaneous deep quench to a temperature with broken spin flip symmetry are: (1) almost all initial configurations lie on the boundary between the basins of attraction of multiple pure states; (2) unless there are uncountably many pure states with almost all pairs having zero overlap, there can be no equilibration to a pure state as time . We discuss the relevance of these results to the difficulty of equilibration of spin glasses. We also review some results concerning the 'nature versus nurture' problem of whether the large-t behavior of both ferromagnets and spin glasses following a deep quench is determined more by the initial configuration (nature) or by the dynamics realization (nurture).

Original languageEnglish (US)
Article number244132
JournalJournal of Physics Condensed Matter
Volume20
Issue number24
DOIs
StatePublished - Jun 18 2008

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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