On the dynamics of Kac p-spin glasses
Silvio Franz
Abstract
This paper discusses the dynamical properties of p-spin models with Kac kind interactions. For large but finite interaction range R one finds two different time scales for relaxation. A first relaxation roughly independent of R where the system is confined to limited regions of the configuration space and an R dependent time scale where the system is able to escape the confining regions. I will argue that the R independent time scales can be described through dynamical mean field theory, while non-perturbative new techniques have to be used to deal with the R dependent scales.
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