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.
Similar content being viewed by others
References
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
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)
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)
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)
Koper, G.J.M., Hilhorst, H.J.: J. Phys. France49, 429 (1988)
Fisher, D.S., Huse, D.A.: Phys. Rev. B38, 373 (1988)
Bouchaud, J.P.: J. Phys. I2, 1705 (1992); Bouchaud, J.P., Vincent, E., Hamman, J.: J. Phys. France4, 139 (1994)
Horner, H.: Z. Phys. B66, 175 (1987)
Ioffe, L.B.: Phys. Rev. B38, 5181 (1988); Dotsenko, V.S., Feigelman, M.V., Ioffe, L.B.: Sov. Sci. Rev.15, 1 (1990)
Cugliandolo, L.F., Kurchan, J.: Phys. Rev. Lett.71, 173 (1993)
Franz, S., Mézard, M.: Europhys. Lett.26, 209 (1994); Physica A210, 48 (1994)
Cugliandolo, L.F., Kurchan, J.: On the out of equilibrium relaxation of the Sherrington Kirkpatrick model, Rome University preprint 977, cond-mat 9311016
Bernasconi, J.: J. Phys.48, 559 (1987)
Gotze, W.: In: Liquids, freezing and glass transition, Les Houches 1989. Hansen, J.P., Levesque, D., Zinn-Justin, J. (eds.) Amsterdam: North Holland 1991
Goldbart, P., Zippelius, A.: Europhys. Lett.27, 599 (1994)
Shore, J.D., Holzer, M., Sethna, J.P.: Phys. Rev. B46, 11376 (1992)
Eissfeller, H., Kinzel, W.: J. Phys. A. Math. Gen.25, 1473 (1992)
Golay, M.J.E.: IEEE IT-23, 43 (1977); IEEE IT-28, 543 (1982)
Migliorini, G.: tesi di laurea, Università di Roma II, 1993 (unpublished)
Bouchaud, J.P., Mézard, M.: Preprint LPTENS 94/14, J. Phys. France (to appear)
Marinari, E., Parisi, G., Ritort, F.: Preprints Università di Roma I, May 1994
Derrida, B.: Phys. Rev. B24, 2613 (1981)
Gross, D., Mézard, M.: Nucl. Phys. B240, 431 (1984)
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
Marinari, E., Parisi, G.: J. Phys. A26, L1149 (1993)
Krauth, W., Pluchery, O.: J. Phys. A. Math. Gen.27, L715 (1994)
Krauth, W., Mézard, M.: J. Phys. France50, 3057 (1989)
Kirkpatrick, T.R., Thirumalai, D.: Phys. Rev. Lett.58, 2091 (1987); Phys. Rev. B38, 5388 (1987)
Garel, T., Orland, H.: Europhys. Lett.6, 307 (1988)
Shakhnovich, E.I., Gutin, A.M.: Europhys. Lett.8, 327 (1989)
Iori, G., Marinari, E., Parisi, G.: J. Phys. A24, 5349 (1991)
Mézard, M., Parisi, G.: J. Phys.I, 809 (1991)