 96299 Filippo Cesi, Christian Maes and Fabio Martinelli
 Relaxation of Disordered Magnets in the Griffiths' Regime
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Jun 17, 96

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Abstract. We study the relaxation to equilibrium of discrete spin systems
with random manybody (not necessarily ferromagnetic) interactions in the
Griffiths' regime. We prove that the speed of convergence to the unique
reversible Gibbs measure is almost surely faster than any stretched
exponential, at least if the probability distribution
of the interaction decays faster than exponential (e.g. Gaussian).
Furthermore, if the interaction is uniformly bounded,
the {\it average over the disorder\/} of the timeautocorrelation
function, goes to equilibrium as
$\exp[ k (\log t)^{d/(d1)}]$ (in $d>1$), in agreement with
previous results obtained for the dilute
Ising model.
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