On the dynamics of Kac $p$-spin glasses
Statistical Mechanics
2008-09-16 v1 Disordered Systems and Neural Networks
Abstract
This paper discusses the dynamical properties of -spin models with Kac kind interactions. For large but finite interaction range one finds two different time scales for relaxation. A first relaxation roughly independent of where the system is confined to limited regions of the configuration space and an dependent time scale where the system is able to escape the confining regions. I will argue that the independent time scales can be described through dynamical mean field theory, while non-perturbative new techniques have to be used to deal with the dependent scales.
Keywords
Cite
@article{arxiv.cond-mat/0604053,
title = {On the dynamics of Kac $p$-spin glasses},
author = {Silvio Franz},
journal= {arXiv preprint arXiv:cond-mat/0604053},
year = {2008}
}
Comments
Submitted to JSP Special Issue on the Cortona Meeting "Mathematical Physics of Spin Glasses", Cortona (Italy), June 27 - July 2, 2005