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Glauber dynamics of neural network models

1988; Institute of Physics; Volume: 21; Issue: 4 Linguagem: Inglês

10.1088/0305-4470/21/4/014

1361-6447

Heiko Rieger, Michael Schreckenberg, J. Zittartz,

Quantum many-body systems

The Glauber dynamics of the Little-Hopfield model and the asymmetric SK model is studied with the help of path integrals introduced by Sommers (1987). This dynamical approach confirms the results of Amit et al. (1985). For the fully asymmetric SK model one can calculate the response and autocorrelation functions exactly and observe exponential decay for both functions. The effect of weak correlations between the couplings Jij and Jji is investigated.