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Infinite volume relaxation in the Sherrington-Kirkpatrick model

In a recent work (Eissfeller and Opper, 1992) a numerical method has been proposed to simulate off-equilibrium zero-temperature parallel dynamics for the SK model without finite size effects. We study the extension of the method to non-zero temperature and sequential dynamics, and analyze more caref...

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Autor principal: Ferraro, G
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:http://cds.cern.ch/record/269181
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author Ferraro, G
author_facet Ferraro, G
author_sort Ferraro, G
collection CERN
description In a recent work (Eissfeller and Opper, 1992) a numerical method has been proposed to simulate off-equilibrium zero-temperature parallel dynamics for the SK model without finite size effects. We study the extension of the method to non-zero temperature and sequential dynamics, and analyze more carefully the involved computational problems. We find evidence, in the glassy phase, for an algebraic relaxation of the energy density to its equilibrium value, at least at large enough temperatures, and for an algebraic relaxation of the magnetization to zero at non-zero temperatures, with an exponent directly proportional to the temperature.
id cern-269181
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2691812019-09-30T06:29:59Zhttp://cds.cern.ch/record/269181engFerraro, GInfinite volume relaxation in the Sherrington-Kirkpatrick modelGeneral Theoretical PhysicsIn a recent work (Eissfeller and Opper, 1992) a numerical method has been proposed to simulate off-equilibrium zero-temperature parallel dynamics for the SK model without finite size effects. We study the extension of the method to non-zero temperature and sequential dynamics, and analyze more carefully the involved computational problems. We find evidence, in the glassy phase, for an algebraic relaxation of the energy density to its equilibrium value, at least at large enough temperatures, and for an algebraic relaxation of the magnetization to zero at non-zero temperatures, with an exponent directly proportional to the temperature.ROM-P-1039cond-mat-9407091oai:cds.cern.ch:2691811994-07-22
spellingShingle General Theoretical Physics
Ferraro, G
Infinite volume relaxation in the Sherrington-Kirkpatrick model
title Infinite volume relaxation in the Sherrington-Kirkpatrick model
title_full Infinite volume relaxation in the Sherrington-Kirkpatrick model
title_fullStr Infinite volume relaxation in the Sherrington-Kirkpatrick model
title_full_unstemmed Infinite volume relaxation in the Sherrington-Kirkpatrick model
title_short Infinite volume relaxation in the Sherrington-Kirkpatrick model
title_sort infinite volume relaxation in the sherrington-kirkpatrick model
topic General Theoretical Physics
url http://cds.cern.ch/record/269181
work_keys_str_mv AT ferrarog infinitevolumerelaxationinthesherringtonkirkpatrickmodel