Ageing in spin-glasses in three, four and infinite dimensions

The SUE machine is used to extend by a factor of 1000 the time-scale of previous studies of the aging, out-of-equilibrium dynamics of the Edwards-Anderson model with binary couplings, on large lattices (L = 60). The correlation function, C(t+t_(w), t_(w)), t_(w) being the time elapsed under a quench...

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Detalles Bibliográficos
Autores: Jiménez, S., Martín Mayor, Víctor, Parisi, G., Tarancón, A.
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/52191
Acceso en línea:https://hdl.handle.net/20.500.14352/52191
Access Level:acceso abierto
Palabra clave:53
Off-equilibrium dynamics
Replica symmetry
Ordered phase
Models
Behavior
Computer
Systems.
Física-Modelos matemáticos
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spelling Ageing in spin-glasses in three, four and infinite dimensionsJiménez, S.Martín Mayor, VíctorParisi, G.Tarancón, A.53Off-equilibrium dynamicsReplica symmetryOrdered phaseModelsBehaviorComputerSystems.Física-Modelos matemáticosThe SUE machine is used to extend by a factor of 1000 the time-scale of previous studies of the aging, out-of-equilibrium dynamics of the Edwards-Anderson model with binary couplings, on large lattices (L = 60). The correlation function, C(t+t_(w), t_(w)), t_(w) being the time elapsed under a quench from high-temperature, follows nicely a slightly-modified power law for t > t_(w). Very tiny (logarithmic), yet clearly detectable deviations from the full-aging t/t_(w) scaling can be observed. Furthermore, the t < t_(w) data shows clear indications of the presence of more than one time-sector in the aging dynamics. Similar results are found in four-dimensions, but a rather different behaviour is obtained in the infinite-dimensional z = 6 Viana-Bray model. Most surprisingly, our results in infinite dimensions seem incompatible with dynamical ultrametricity. A detailed study of the link correlation function is presented, suggesting that its aging-properties are the same as for the spin correlation-function.IOP PublishingUniversidad Complutense de Madrid20032003-10-3120032003-10-31journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/52191reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/521912026-06-02T12:44:21Z
dc.title.none.fl_str_mv Ageing in spin-glasses in three, four and infinite dimensions
title Ageing in spin-glasses in three, four and infinite dimensions
spellingShingle Ageing in spin-glasses in three, four and infinite dimensions
Jiménez, S.
53
Off-equilibrium dynamics
Replica symmetry
Ordered phase
Models
Behavior
Computer
Systems.
Física-Modelos matemáticos
title_short Ageing in spin-glasses in three, four and infinite dimensions
title_full Ageing in spin-glasses in three, four and infinite dimensions
title_fullStr Ageing in spin-glasses in three, four and infinite dimensions
title_full_unstemmed Ageing in spin-glasses in three, four and infinite dimensions
title_sort Ageing in spin-glasses in three, four and infinite dimensions
dc.creator.none.fl_str_mv Jiménez, S.
Martín Mayor, Víctor
Parisi, G.
Tarancón, A.
author Jiménez, S.
author_facet Jiménez, S.
Martín Mayor, Víctor
Parisi, G.
Tarancón, A.
author_role author
author2 Martín Mayor, Víctor
Parisi, G.
Tarancón, A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Off-equilibrium dynamics
Replica symmetry
Ordered phase
Models
Behavior
Computer
Systems.
Física-Modelos matemáticos
topic 53
Off-equilibrium dynamics
Replica symmetry
Ordered phase
Models
Behavior
Computer
Systems.
Física-Modelos matemáticos
description The SUE machine is used to extend by a factor of 1000 the time-scale of previous studies of the aging, out-of-equilibrium dynamics of the Edwards-Anderson model with binary couplings, on large lattices (L = 60). The correlation function, C(t+t_(w), t_(w)), t_(w) being the time elapsed under a quench from high-temperature, follows nicely a slightly-modified power law for t > t_(w). Very tiny (logarithmic), yet clearly detectable deviations from the full-aging t/t_(w) scaling can be observed. Furthermore, the t < t_(w) data shows clear indications of the presence of more than one time-sector in the aging dynamics. Similar results are found in four-dimensions, but a rather different behaviour is obtained in the infinite-dimensional z = 6 Viana-Bray model. Most surprisingly, our results in infinite dimensions seem incompatible with dynamical ultrametricity. A detailed study of the link correlation function is presented, suggesting that its aging-properties are the same as for the spin correlation-function.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-10-31
2003
2003-10-31
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/52191
url https://hdl.handle.net/20.500.14352/52191
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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