J. Phys. I France
Volume 1, Numéro 8, August 1991
Page(s) 1087 - 1091
DOI: 10.1051/jp1:1991192
J. Phys. I France 1 (1991) 1087-1091

Numerical studies of the spin-flip dynamics in the SK-model

G.A. Kohring and M. Schreckenberg

Institut für Theoretische Physik, Universität zu Köln, Zülpicherstr. 77, D-5000 Köln 41, Germany

(Received 15 May 1991, accepted 23 May 1991)

The spin-flip dynamics of the SK-model is studied numerically with systems of up to 105 spins. For sequential dynamics at T=0 we find a remanent magnetization of $0.085\pm 0.005$ which is about half the value found earlier for much smaller systems. Furthermore we have calculated the percentage of spins which flip n times during the descent into a metastable state. Remarkably, the number of spins which never flip ( n=0) is asymptotically equal to the number of spins which flip only once (n=1). Therefore the dominant contribution to the remanent magnetization comes from the spins which flip twice (n=2). We have found the convergence time, with the system sizes used here, to diverge faster than a simple power law.

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