J. Phys. I France
Volume 1, Number 3, March 1991
Page(s) 323 - 329
DOI: 10.1051/jp1:1991134
J. Phys. I France 1 (1991) 323-329

Numerical investigation of the asymmetric SK-model with deterministic dynamics

T. Pfenning, H. Rieger and M. Schreckenberg

Institut für Theoretische Physik, Universität zu Köln, D-5000 Köln, F.R.G.

(Received 4 December 1990, accepted 14 December 1990)

The dynamics of the asymmetric SK-model with binary couplings $J_{ij}=\pm 1$, which was introduced in the context of neutral networks, is investigated numerically at T=0 and with sequential updating (deterministic dynamics). The system sizes are varied up to 8192 neurons. We find a universal algebraic decay of the two-timestep autocorrelation function with exponent 3/2 for all values of the asymmetry. Furthermore the results suggest a transition (e.g. in the remanent magnetization and the damage spreading behavior) as a function of the asymmetry parameter $\lambda$ in agreement with previous results by Spitzner and Kinzel.

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