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

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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.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Ferrara and INFN—Sezione di Ferrara, Ferrara, Italy

    F. Belletti, M. Guidetti, F. Mantovani, S. F. Schifano & R. Tripiccione

  2. Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), Zaragoza, Spain

    A. Cruz, L. A. Fernandez, A. Gordillo-Guerrero, A. Maiorano, V. Martin-Mayor, J. Monforte, S. Perez-Gaviro, J. J. Ruiz-Lorenzo, D. Sciretti, A. Tarancon & D. Yllanes

  3. Departamento de Física Teórica, Universidad de Zaragoza, 50009, Zaragoza, Spain

    A. Cruz & A. Tarancon

  4. Departamento de Física Teórica I, Universidad Complutense, 28040, Madrid, Spain

    L. A. Fernandez, V. Martin-Mayor, A. Muñoz Sudupe & D. Yllanes

  5. Dpto. de Ingenería Eléctrica, Electrónica y Automática, Universidad de Extremadura, Avda. de la Universidad s/n, 10071, Cáceres, Spain

    A. Gordillo-Guerrero

  6. Dipartimento di Fisica, SMC of INFM-CNR and INFN, Università di Roma La Sapienza, 00185, Rome, Italy

    A. Maiorano, E. Marinari, G. Parisi & S. Perez-Gaviro

  7. Departamento de Ingeniería, Electrónica y Comunicaciones and Instituto de Investigación en Ingeniería de Aragón (I3A), Universidad de Zaragoza, 50018, Zaragoza, Spain

    D. Navarro

  8. Departamento de Física, Universidad de Extremadura, 06071, Badajoz, Spain

    J. J. Ruiz-Lorenzo

Authors
  1. F. Belletti
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  2. A. Cruz
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  3. L. A. Fernandez
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  4. A. Gordillo-Guerrero
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  5. M. Guidetti
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  6. A. Maiorano
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  7. F. Mantovani
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  8. E. Marinari
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  9. V. Martin-Mayor
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  10. J. Monforte
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  11. A. Muñoz Sudupe
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  12. D. Navarro
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  13. G. Parisi
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  14. S. Perez-Gaviro
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  15. J. J. Ruiz-Lorenzo
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  16. S. F. Schifano
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  17. D. Sciretti
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  18. A. Tarancon
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  19. R. Tripiccione
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  20. D. Yllanes
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Correspondence to V. Martin-Mayor.

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Belletti, F., Cruz, A., Fernandez, L.A. et al. An In-Depth View of the Microscopic Dynamics of Ising Spin Glasses at Fixed Temperature. J Stat Phys 135, 1121–1158 (2009). https://doi.org/10.1007/s10955-009-9727-z

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