Abstract
We study numerically a disordered model that interpolates among the Sherrington-Kirkpatrick mean-field model and the three-dimensional Edwards-Anderson spin glass. We find that averages over the disorder of powers of the overlap and of the full $P(q)$ are smooth, and do not show any discontinuity. Different lattice sizes are used to provide evidence for a smooth behavior of disorder averages in the thermodynamic limit. Quantities defined on a given realization of the disorder show a chaotic behavior. Our results support the validity of a replica symmetry breaking description of finite-dimensional models.
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