Numerical Evidence for Continuity of Mean Field and Finite Dimensional Spin Glasses

Details Numerical Evidence for Continuity of Mean Field and Finite Dimensional Spin Glasses Numerical Evidence for Continuity of Mean Field and Finite Dimensional Spin Glasses

1998-07-17

arxiv.org/abs/cond-mat/9807261v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, ps color figures

Scientific paper

10.1103/PhysRevLett.82.434

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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