Large deviations in spin-glass ground-state energies
Disordered Systems and Neural Networks
2009-11-10 v2
Abstract
The ground-state energy E_0 of a spin glass is an example of an extreme statistic. We consider the large deviations of this energy for a variety of models when the number of spins N goes to infinity. In most cases, the behavior can be understood qualitatively, in particular with the help of semi-analytical results for hierarchical lattices. Particular attention is paid to the Sherrington-Kirkpatrick model; after comparing to the Tracy-Widom distribution which follows from the spherical approximation, we find that the large deviations give rise to non-trivial scaling laws with N.
Keywords
Cite
@article{arxiv.cond-mat/0307709,
title = {Large deviations in spin-glass ground-state energies},
author = {A. Andreanov and F. Barbieri and O. C. Martin},
journal= {arXiv preprint arXiv:cond-mat/0307709},
year = {2009}
}
Comments
11 pages, 12 figures, extended discussion, clarifications and references