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Strong Griffiths singularities in random systems and their relation to extreme value statistics

Strong Griffiths singularities in random systems and their relation to extreme value statistics

We consider interacting many-particle systems with quenched disorder having strong Griffiths singularities, which are characterized by the dynamical exponent, $z$, such as random quantum systems and exclusion processes. In several $d=1$ and $d=2$ dimensional problems we have calculated the inverse time scales, ${\ensuremath{\tau}}^{\ensuremath{-}1}$, in finite samples of linear size, $L$, …