Using the special-purpose computer Janus, we follow the nonequilibrium dynamics of the Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral estimators for the coherence and correlation lengths allows us to study dynamic heterogeneities and the presence of a replicon mode and to obtain safe bounds on the Edwards-Anderson order parameter below the critical temperature. We obtain good agreement with experimental determinations of the temperature-dependent decay exponents for the thermoremanent magnetization. This magnitude is observed to scale with the much harder to measure coherence length, a potentially useful result for experimentalists. The exponents for energy relaxation display a linear dependence on temperature and reasonable extrapolations to the critical point. We conclude examining the time growth of the coherence length, with a comparison of critical and activated dynamics.

An In-Depth View of the Microscopic Dynamics of Ising Spin Glasses at Fixed Temperature / F., Belletti; A., Cruz; L. A., Fernandez; A., Gordillo Guerrero; M., Guidetti; Maiorano, Andrea; F., Mantovani; Marinari, Vincenzo; V., Martin Mayor; J., Monforte; A., Munoz Sudupe; D., Navarro; Parisi, Giorgio; S., Perez Gaviro; J. J., Ruiz Lorenzo; S. F., Schifano; D., Sciretti; A., Tarancon; R., Tripiccione; D., Yllanes. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 135:5-6(2009), pp. 1121-1158. [10.1007/s10955-009-9727-z]

An In-Depth View of the Microscopic Dynamics of Ising Spin Glasses at Fixed Temperature

MAIORANO, Andrea;MARINARI, Vincenzo;PARISI, Giorgio;
2009

Abstract

Using the special-purpose computer Janus, we follow the nonequilibrium dynamics of the Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral estimators for the coherence and correlation lengths allows us to study dynamic heterogeneities and the presence of a replicon mode and to obtain safe bounds on the Edwards-Anderson order parameter below the critical temperature. We obtain good agreement with experimental determinations of the temperature-dependent decay exponents for the thermoremanent magnetization. This magnitude is observed to scale with the much harder to measure coherence length, a potentially useful result for experimentalists. The exponents for energy relaxation display a linear dependence on temperature and reasonable extrapolations to the critical point. We conclude examining the time growth of the coherence length, with a comparison of critical and activated dynamics.
characteristic length scales; nonequilibrium dynamics; spin glasses
01 Pubblicazione su rivista::01a Articolo in rivista
An In-Depth View of the Microscopic Dynamics of Ising Spin Glasses at Fixed Temperature / F., Belletti; A., Cruz; L. A., Fernandez; A., Gordillo Guerrero; M., Guidetti; Maiorano, Andrea; F., Mantovani; Marinari, Vincenzo; V., Martin Mayor; J., Monforte; A., Munoz Sudupe; D., Navarro; Parisi, Giorgio; S., Perez Gaviro; J. J., Ruiz Lorenzo; S. F., Schifano; D., Sciretti; A., Tarancon; R., Tripiccione; D., Yllanes. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 135:5-6(2009), pp. 1121-1158. [10.1007/s10955-009-9727-z]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/435403
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