Glasses and spin glasses with long but finite interaction range
Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)Abstract
A central problem in the theory of glassy systems is the
comprehension of
metastability in presence of finite range interactions. While in mean
field metastable state can have infinite life time, for finite
interaction range metastable state must decay on time scales
independent of the system size. In this talk I will discuss a recent
theoretical approach to metastability based on the analysis of
disordered models with long but finite range
Kac kind of interactions. These kind of models are well suited to
study finite
dimensional effects in asymptotic expansions around mean-field.
I will discuss a detailed picture coming from the analysis of recently
proposed correlation functions, that describes in a unified way two
different lengths characterizing the growth of
correlation in the supercooled phase of these models. I will compare
the results of 1D numerical simulations to the asymptotic analysis.