Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-11-18
J. Stat. Phys. 135, 1121-1158 (2009)
Physics
Condensed Matter
Disordered Systems and Neural Networks
38 pages, 26 figures
Scientific paper
10.1007/s10955-009-9727-z
Using the dedicated 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.
Belletti F.
Cruz Andres
Fernández Luis A.
Gordillo-Guerrero A.
Guidetti Marco
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