Dynamical Probability Distribution Function of the SK Model at High Temperatures

Hidetoshi Nishimori, Michiko Yamana

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The microscopic probability distribution function of the Sherrington-Kirkpatrick (SK) model of spin glasses is calculated explicitly as a function of time by a high-temperature expansion. The resulting formula to the third order of the inverse temperature shows that an assumption made by Coolen, Laughon and Sherrington in their recent theory of dynamics is violated. Deviations of their theory from exact results are estimated quantitatively. Our formula also yields explicit expressions of the time dependence of various macroscopic physical quantities when the temperature is suddenly changed within the high-temperature region.

Original languageEnglish
Pages (from-to)3-6
Number of pages4
Journaljournal of the physical society of japan
Volume65
Issue number1
DOIs
Publication statusPublished - 1996

Keywords

  • Dynamics
  • Equipartitioning
  • High-temperature expansion
  • Probability distribution function
  • SK model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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