Numerical investigation of the asymmetric SK-model with deterministic dynamics

(Received 4 December 1990, accepted 14 December 1990)

Abstract
The dynamics of the asymmetric SK-model with binary couplings , 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 in agreement with previous results by Spitzner and Kinzel.