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arXiv · 1003.6086

Distribution of time scales in the Sherrington-Kirkpatrick model

Alain Billoire
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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 $\lnτ-\overline{\lnτ}$ scales with the scaling variable $N^{1/3} (T_c-T)$ strengthening the belief that $\overline{\lnτ}\propto N^{1/3}$ in the whole spin glass phase.

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Alain Billoire. 2010-12-10. Distribution of time scales in the Sherrington-Kirkpatrick model. https://doi.org/10.1088/1742-5468%2F2010%2F11%2Fp11034

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