Friday, May 18, 2012

1109.4069 (Adriano Barra et al.)

A Solvable Mean Field Model of a Gaussian Spin Glass    [PDF]

Adriano Barra, Giuseppe Genovese, Francesco Guerra, Daniele Tantari
We introduce a mean field spin glass model with gaussian distribuited spins and pairwise interactions, whose couplings are drawn randomly from a normal gaussian distribution too. We completely control the main thermodynamical properties of the model (free energy, phase diagram, fluctuations theory) in the whole phase space. In particular we prove that in thermodynamic limit the free energy equals its replica symmetric expression.
View original: http://arxiv.org/abs/1109.4069

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