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Aging without disorder on long time scales

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the Metropolis dynamics of a simple spin system without disorder, which exhibits glassy dynamics at low temperatures. We use an implementation of the algorithm of Bortz, Kalos and Lebowitz [1]. This method turns out to be very efficient for the study of glassy systems, which get trapped in local minima on many different time scales. We find strong evidence of aging effects at low temperatures. We relate these effects to the distribution function of the trapping times of single configurations.

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References

  1. Bortz, A.B., Kalos, M.H., Lebowitz, J.L.: J. Comput. Phys.17, 10 (1975) cf. also: Binder, K.: In: Monte Carlo Methods in Statistical Physics. Sect. 1.3.1 2nd edn. Berlin: Springer 1986

    Google Scholar 

  2. Lundgren, L., Svedlindh, P., Nordblad, P., Beckman, O.: Phys. Rev. Lett.51, 911 (1983), Chamberlin, R.V., Mozurkevich, G., Orbach, R.: Phys. Rev. Lett.52, 867 (1984); Alba, M., Hamman, J., Ocio, M., Refrigier, Ph.: J. Appl. Phys.61, 3683 (1987)

    Google Scholar 

  3. Lederman, M., Orbach, R., Hamman, J.M., Ocio, M., Vincent, E.: Phys. Rev. B44, 7403 (1991); Hamman, J.M., Lederman, M., Ocio, M., Orbach,R., Vincent, E.: Physica A185, 278 (1992)

    Google Scholar 

  4. Anderson, J.O., Mattson, J., Svedlindh, P.: Phys. Rev. B46, 8297 (1992); Rieger, H.: J. Phys. A26, L 615 (1993); Cugliandolo, L., Kurchan, J., Ritort, F.: Phys. Rev. B49, 6331 (1994)

    Google Scholar 

  5. Koper, G.J.M., Hilhorst, H.J.: J. Phys. France49, 429 (1988)

    Google Scholar 

  6. Fisher, D.S., Huse, D.A.: Phys. Rev. B38, 373 (1988)

    Google Scholar 

  7. Bouchaud, J.P.: J. Phys. I2, 1705 (1992); Bouchaud, J.P., Vincent, E., Hamman, J.: J. Phys. France4, 139 (1994)

    Google Scholar 

  8. Horner, H.: Z. Phys. B66, 175 (1987)

    Google Scholar 

  9. Ioffe, L.B.: Phys. Rev. B38, 5181 (1988); Dotsenko, V.S., Feigelman, M.V., Ioffe, L.B.: Sov. Sci. Rev.15, 1 (1990)

    Google Scholar 

  10. Cugliandolo, L.F., Kurchan, J.: Phys. Rev. Lett.71, 173 (1993)

    Google Scholar 

  11. Franz, S., Mézard, M.: Europhys. Lett.26, 209 (1994); Physica A210, 48 (1994)

    Google Scholar 

  12. Cugliandolo, L.F., Kurchan, J.: On the out of equilibrium relaxation of the Sherrington Kirkpatrick model, Rome University preprint 977, cond-mat 9311016

  13. Bernasconi, J.: J. Phys.48, 559 (1987)

    Google Scholar 

  14. Gotze, W.: In: Liquids, freezing and glass transition, Les Houches 1989. Hansen, J.P., Levesque, D., Zinn-Justin, J. (eds.) Amsterdam: North Holland 1991

    Google Scholar 

  15. Goldbart, P., Zippelius, A.: Europhys. Lett.27, 599 (1994)

    Google Scholar 

  16. Shore, J.D., Holzer, M., Sethna, J.P.: Phys. Rev. B46, 11376 (1992)

    Google Scholar 

  17. Eissfeller, H., Kinzel, W.: J. Phys. A. Math. Gen.25, 1473 (1992)

    Google Scholar 

  18. Golay, M.J.E.: IEEE IT-23, 43 (1977); IEEE IT-28, 543 (1982)

    Google Scholar 

  19. Migliorini, G.: tesi di laurea, Università di Roma II, 1993 (unpublished)

  20. Bouchaud, J.P., Mézard, M.: Preprint LPTENS 94/14, J. Phys. France (to appear)

  21. Marinari, E., Parisi, G., Ritort, F.: Preprints Università di Roma I, May 1994

  22. Derrida, B.: Phys. Rev. B24, 2613 (1981)

    Google Scholar 

  23. Gross, D., Mézard, M.: Nucl. Phys. B240, 431 (1984)

    Google Scholar 

  24. Let us stress that the true problem, of course, is not auniformly low acceptance probability (which could be repaired by simply choosing a large value of Δτ), but the existence of dynamic relaxations on a variety of time scales

  25. Marinari, E., Parisi, G.: J. Phys. A26, L1149 (1993)

    Google Scholar 

  26. Krauth, W., Pluchery, O.: J. Phys. A. Math. Gen.27, L715 (1994)

    Google Scholar 

  27. Krauth, W., Mézard, M.: J. Phys. France50, 3057 (1989)

    Google Scholar 

  28. Kirkpatrick, T.R., Thirumalai, D.: Phys. Rev. Lett.58, 2091 (1987); Phys. Rev. B38, 5388 (1987)

    Google Scholar 

  29. Garel, T., Orland, H.: Europhys. Lett.6, 307 (1988)

    Google Scholar 

  30. Shakhnovich, E.I., Gutin, A.M.: Europhys. Lett.8, 327 (1989)

    Google Scholar 

  31. Iori, G., Marinari, E., Parisi, G.: J. Phys. A24, 5349 (1991)

    Google Scholar 

  32. Mézard, M., Parisi, G.: J. Phys.I, 809 (1991)

    Google Scholar 

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Krauth, W., Mézard, M. Aging without disorder on long time scales. Z. Physik B - Condensed Matter 97, 127–131 (1995). https://doi.org/10.1007/BF01317596

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  • DOI: https://doi.org/10.1007/BF01317596

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