Nonequilibrium relations for spin glasses with gauge symmetry

Masayuki Ohzeki, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We study the applications of nonequilibrium relations such as the Jarzynski equality and fluctuation theorem to spin glasses with gauge symmetry. It is shown that the exponentiated free-energy difference appearing in the Jarzynski equality reduces to a simple analytic function written explicitly in terms of the initial and final temperatures if the temperature satisfies a certain condition related to gauge symmetry. This result is used to derive a lower bound on the work done during the nonequilibrium process of temperature change. We also prove identities that relate equilibrium and nonequilibrium quantities. These identities suggest a method of evaluating equilibrium quantities from nonequilibrium computations, which may be useful for avoiding the problem of slow relaxation in spin glasses.

Original languageEnglish
Article number084003
JournalJournal of the Physical Society of Japan
Issue number8
Publication statusPublished - 2010 Aug


  • Gauge symmetry
  • Jarzynski equality
  • Spin glass


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