Prog. Theor. Phys. Supplement No.138 (2000) pp. 568-573
Numerical Study of Aging Phenomena in Short-Ranged Spin Glasses
Institute for Solid State Physics, University of Tokyo, Tokyo 106-8666, Japan
(Received October 28, 1999)
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
expressed in terms of the mean domain size and a characteristic length
scale of droplet excitations.
DOI : 10.1143/PTPS.138.568
- For a recent review see e.g. A. P. Young, Spin-glasses and random fields (World Scientific, Singapore, 1997).
- 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).
- H. Rieger, in Annual Review of Computational Physics II, ed. D. Stauffer (World Scientific, Singapore, 1995).
D. S. Fisher and D. A. Huse, Phys. Rev. B38 (1988), 386[APS];
Phys. Rev. B38 (1988), 373[APS].
L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71 (1993), 173[APS];
J. of Phys. A27 (1994), 5749[IoP STACKS].
L. W. Bernardi and I. Campbell, Phys. Rev. B56 (1997), 5271[APS].
T. Komori, H. Yoshino and H. Takayama, cond-mat/9908078[e-print arXiv].
G. Parisi, F. Ricci-Tersenghi and J. J. Ruiz-Lorenzo, J. of Phys. A29 (1996), 7943[IoP STACKS].
K. Hukushima, Phys. Rev. E60 (1999), 3606[APS];
E. Marinari and F. Zuliani, cond-mat/9904303[e-print arXiv].
J. Kisker, L. Santen, M. Schrenckenberg and H. Rieger, Phys. Rev. B53 (1996), 6418[APS].
E. Marinari, G. Parisi, F. Ricci-Tersenghi and J. J. Ruiz-Lorenzo, J. of Phys. A31 (1998), 2611[IoP STACKS].
T. Komori, H. Yoshino and H. Takayama, J. Phys. Soc. Jpn. 68 (1999), 3387[JPSJ].
Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann and E. Vincent, Phys. Rev. Lett. 82 (1999), 438[APS].
H. Takayama, T. Komori and H. Yoshino, cond-mat/9909228[e-print arXiv].