A Solvable Mean Field Model of a Gaussian Spin Glass

Details A Solvable Mean Field Model of a Gaussian Spin Glass A Solvable Mean Field Model of a Gaussian Spin Glass

2011-09-19

arxiv.org/abs/1109.4069v1

Physics

Mathematical Physics

27 pages

Scientific paper

We introduce a mean field model for a spin glass with gaussian distribuited spin and pairwise interactions, whose also the couplings are drawn randomly from a gaussian distribution. We completely control the main thermodynamical properties of the model (free energy, phase diagram, fluctuations). In particular we prove that in thermodynamic limit the free energy of the model preserves the full symmetry between replicas.

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