Universal structures in some mean field spin glasses, and an application
Probability
2009-11-13 v1
Abstract
We discuss a spin glass reminiscent of the Random Energy Model, which allows in particular to recast the Parisi minimization into a more classical Gibbs variational principle, thereby shedding some light on the physical meaning of the order parameter of the Parisi theory. As an application, we study the impact of an extensive cavity field on Derrida's REM: Despite its simplicity, this model displays some interesting features such as ultrametricity and chaos in temperature.
Keywords
Cite
@article{arxiv.0806.2446,
title = {Universal structures in some mean field spin glasses, and an application},
author = {Erwin Bolthausen and Nicola Kistler},
journal= {arXiv preprint arXiv:0806.2446},
year = {2009}
}
Comments
Submitted to the special issue of JMP, 'Statistical Mechanics on Random Structures'