Analysis on aging in the generalized random energy model

Munetaka Sasaki, Koji Nemoto

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

A new dynamics more natural than that proposed by Bouchaud and Dean is introduced to the Generalized Random Energy Model, and the master equation for the dynamics is solved exactly to calculate the time correlation function C(t + tw, tw). Although our results are very similar to those obtained by Bouchaud and Dean qualitatively, the exponents for power law relaxation are different. The Zero-Field-Cooled magnetization is also calculated with a relation between the correlation function and the response function which holds even if the relaxation is non-equilibrium. The validity of these analytic results are confirmed by numerical simulations.

Original languageEnglish
Pages (from-to)3045-3050
Number of pages6
Journaljournal of the physical society of japan
Volume69
Issue number9
DOIs
Publication statusPublished - 2000 Sep

Keywords

  • Aging
  • Generalized random energy model
  • Zero-field-cooled magnetization

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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