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Prog. Theor. Phys. Supplement No.138 (2000) pp. 568-573

[ Full Text PDF : FREE ACCESS (132K) ]

Numerical Study of Aging Phenomena in Short-Ranged Spin Glasses

Koji Hukushima, Hajime Yoshino and Hajime Takayama

Institute for Solid State Physics, University of Tokyo, Tokyo 106-8666, Japan

(Received October 28, 1999)

Abstract:

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth associated with the critical fluctuation at the transition temperature to slower growth inherent in the low-temperature phase. The temperature dependence of the growth law of the domain size can be almost explained by this crossover. We also find that the spin-autocorrelation function in the quasi-equilibrium regime follows the expected scaling behavior from the droplet theory expressed in terms of the mean domain size and a characteristic length scale of droplet excitations.


URL : http://ptp.ipap.jp/link?PTPS/138/568/
DOI : 10.1143/PTPS.138.568

[ Full Text PDF : FREE ACCESS (132K) ] Citation:


References:

  1. For a recent review see e.g. A. P. Young, Spin-glasses and random fields (World Scientific, Singapore, 1997).
  2. E. Vincent, J. Hamman, M. Ocio, J. -P. Bouchaud and L. F. Cuglinadolo, in Proceeding of the Sitges Conference on Glass Systems, ed. E. Rubi (Springer, Berlin, 1996).
  3. H. Rieger, in Annual Review of Computational Physics II, ed. D. Stauffer (World Scientific, Singapore, 1995).
  4. D. S. Fisher and D. A. Huse, Phys. Rev. B38 (1988), 386[APS]; Phys. Rev. B38 (1988), 373[APS].
  5. L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71 (1993), 173[APS]; J. of Phys. A27 (1994), 5749[IoP STACKS].
  6. L. W. Bernardi and I. Campbell, Phys. Rev. B56 (1997), 5271[APS].
  7. T. Komori, H. Yoshino and H. Takayama, cond-mat/9908078[e-print arXiv].
  8. G. Parisi, F. Ricci-Tersenghi and J. J. Ruiz-Lorenzo, J. of Phys. A29 (1996), 7943[IoP STACKS].
  9. K. Hukushima, Phys. Rev. E60 (1999), 3606[APS]; cond-mat/9903391[e-print arXiv].
  10. E. Marinari and F. Zuliani, cond-mat/9904303[e-print arXiv].
  11. J. Kisker, L. Santen, M. Schrenckenberg and H. Rieger, Phys. Rev. B53 (1996), 6418[APS].
  12. E. Marinari, G. Parisi, F. Ricci-Tersenghi and J. J. Ruiz-Lorenzo, J. of Phys. A31 (1998), 2611[IoP STACKS].
  13. T. Komori, H. Yoshino and H. Takayama, J. Phys. Soc. Jpn. 68 (1999), 3387[JPSJ].
  14. Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann and E. Vincent, Phys. Rev. Lett. 82 (1999), 438[APS].
  15. H. Takayama, T. Komori and H. Yoshino, cond-mat/9909228[e-print arXiv].