Are Mean-Field Spin-Glass Models Relevant for the Structural Glass Transition?

Abstract

We analyze the properties of the energy landscape of {\it finite-size} fully connected p-spin-like models whose high temperature phase is described, in the thermodynamic limit, by the schematic Mode Coupling Theory of super-cooled liquids. We show that {\it finite-size} fully connected p-spin-like models, where activated processes are possible, do exhibit properties typical of real super-cooled liquid when both are near the critical glass transition. Our results support the conclusion that fully-connected p-spin-like models are the natural statistical mechanical models for studying the glass transition in super-cooled liquids.

7 Pages, 2 figures included, Latex (elsart.cls included), Contributed paper to the Int. Conf. on "Statistical Mechanics and Strongly Correlated System", 2nd Giovanni Paladin Memorial, Rome 27-29 September 1999, submitted to Physica A

References in corpus (1)

• Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices

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