Distribution of time scales in the Sherrington-Kirkpatrick model

Abstract

Numerical data on the probability distribution of the equilibrium relaxation time of the Sherrington-Kirkpatrick model are obtained by means of dynamical Monte Carlo simulation, for several values of the system size $N$ and temperature $T$. Proper care is taken that the thermal fluctuations on the relaxation time estimates are totally negligible compared to the disorder induced fluctuations. The probability distribution of $\ln \tau -\overline{\ln \tau }$ scales with the scaling variable $N^{1/3}(T_c-T)$ strengthening the belief that $\overline{\ln \tau }\propto N^{1/3}$ in the whole spin glass phase.

References in corpus (6)

• On Orthogonal and Symplectic Matrix Ensembles
• Universality at the edge of the spectrum for unitary, orthogonal and symplectic ensembles of random matrices
• Monte Carlo computation of correlation times of independent relaxation modes at criticality
• Finite size corrections in the Sherrington-Kirkpatrick model
• Eigenvalue method to compute the largest relaxation time of disordered systems
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• Free energy barriers in the Sherrington-Kirkpatrick model
• Numerical study of the dynamics of some long range spin glass models
• Why replica symmetry breaking does not occur below six dimensions in Ising spin glasses