A Solvable Mean Field Model of a Gaussian Spin Glass
Mathematical Physics
2012-05-18 v2 Disordered Systems and Neural Networks
math.MP
Probability
Abstract
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.
Keywords
Cite
@article{arxiv.1109.4069,
title = {A Solvable Mean Field Model of a Gaussian Spin Glass},
author = {Adriano Barra and Giuseppe Genovese and Francesco Guerra and Daniele Tantari},
journal= {arXiv preprint arXiv:1109.4069},
year = {2012}
}
Comments
27 pages