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

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

1999-11-22

arxiv.org/abs/cond-mat/9911351v1

Physica A 280, 155-160 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 Pages, 2 figures included, Latex (elsart.cls included), Contributed paper to the Int. Conf. on "Statistical Mechanics and St

Scientific paper

10.1016/S0378-4371(99)00632-9

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.

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