Journal of Statistical Physics

, Volume 135, Issue 5–6, pp 1121–1158 | Cite as

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
  • A. Maiorano
  • F. Mantovani
  • E. Marinari
  • V. Martin-Mayor
  • J. Monforte
  • A. Muñoz Sudupe
  • D. Navarro
  • G. Parisi
  • S. Perez-Gaviro
  • J. J. Ruiz-Lorenzo
  • S. F. Schifano
  • D. Sciretti
  • A. Tarancon
  • R. Tripiccione
  • D. Yllanes
Article

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.

Keywords

Spin glasses Nonequilibrium dynamics Characteristic length scales 

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • F. Belletti
    • 1
  • A. Cruz
    • 2
    • 3
  • L. A. Fernandez
    • 2
    • 4
  • A. Gordillo-Guerrero
    • 2
    • 5
  • M. Guidetti
    • 1
  • A. Maiorano
    • 2
    • 6
  • F. Mantovani
    • 1
  • E. Marinari
    • 6
  • V. Martin-Mayor
    • 2
    • 4
  • J. Monforte
    • 2
  • A. Muñoz Sudupe
    • 4
  • D. Navarro
    • 7
  • G. Parisi
    • 6
  • S. Perez-Gaviro
    • 2
    • 6
  • J. J. Ruiz-Lorenzo
    • 2
    • 8
  • S. F. Schifano
    • 1
  • D. Sciretti
    • 2
  • A. Tarancon
    • 2
    • 3
  • R. Tripiccione
    • 1
  • D. Yllanes
    • 2
    • 4
  1. 1.Dipartimento di FisicaUniversità di Ferrara and INFN—Sezione di FerraraFerraraItaly
  2. 2.Instituto de Biocomputación y Física de Sistemas Complejos (BIFI)ZaragozaSpain
  3. 3.Departamento de Física TeóricaUniversidad de ZaragozaZaragozaSpain
  4. 4.Departamento de Física Teórica IUniversidad ComplutenseMadridSpain
  5. 5.Dpto. de Ingenería Eléctrica, Electrónica y AutomáticaUniversidad de ExtremaduraCáceresSpain
  6. 6.Dipartimento di Fisica, SMC of INFM-CNR and INFNUniversità di Roma La SapienzaRomeItaly
  7. 7.Departamento de Ingeniería, Electrónica y Comunicaciones and Instituto de Investigación en Ingeniería de Aragón (I3A)Universidad de ZaragozaZaragozaSpain
  8. 8.Departamento de FísicaUniversidad de ExtremaduraBadajozSpain

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