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Dynamics of the Heisenberg Spin Glass Model in the `Griffiths Phase': Analysis by the Distribution Function of Relaxation Times of Individual Spins

We have carried out Monte Carlo simulation on the 3-dimensional isotropic ± J spin glass model, by which the distribution function of relaxation times P (τ) is extracted from autocorrelation functions of all individual spins in the system. The obtained P (τ) gives clear evidence for the cluster dynamics due to the Griffiths singularity in a spin glass system as well as for the crossover between the cluster dynamics and the critical dynamics associated with the spin glass transition at T c (=0).