Distribution of timescales in the Sherrington–Kirkpatrick model

Abstract

Numerical data on the probability distribution of the equilibrium relaxationtime of the Sherrington–Kirkpatrick model are obtained by means ofdynamical Monte Carlo simulation, for several values of the system sizeN andtemperature T. Proper care is taken that the thermal fluctuations on the relaxation time estimates aretotally negligible compared to the disorder induced fluctuations. The probabilitydistribution of scales with the scaling variableN1/3(Tc − T), strengthening the belief that in the whole spin glass phase.