Dynamics in the Sherrington-Kirkpatrick Ising spin glass at and above T-g

A detailed numerical study is made of relaxation at equilibrium in the Sherrington-Kirkpatrick Ising spin glass (ISG) model, at and above the critical temperature T-g. The data show a long time stretched exponential relaxation q(t) similar to exp{-t/tau(T)} with an exponent beta(T) tending to approximate to 1/3 at T-g. The results are compared to those which were observed by A. T. Ogielski, [Phys. Rev. B 32, 7384 (1985)] in the three-dimensional ISG model and are discussed in terms of a phase space percolation transition scenario.

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Source ISSN: 1098-0121
Author Billoire, Alain, Campbell, Ian
Maintainer CCSD
Last Updated May 25, 2026, 10:14 (UTC)
Created May 25, 2026, 10:14 (UTC)
Identifier hal-00677374
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut de Physique Théorique - UMR CNRS 3681 (IPHT) ; Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)) ; Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
creator Billoire, Alain
date 2011-05-25T00:00:00
harvest_object_id ab45eac9-d384-445e-9b8b-51c6e8ca5534
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-02-26T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.84.054442
set_spec type:ART