Equilibrium and Aging Dynamics of Simple Models for Glasses

Abstract

We analyze the properties of the energy landscape of {\it finite-size} fully connected $p$-spin-like models. In the thermodynamic limit the high temperature phase is described by the schematic Mode Coupling Theory of super-cooled liquids. In this limit the barriers between different basins are infinite below the critical dynamical temperature the ergodicity is broken on in infinite times. 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.

11 pages, 6 figures, iop-style, conference on ``Unifying Concepts in Glass Physics'', ICTP, Trieste 15 - 18 September 1999

References in corpus (1)

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

Cited by in corpus (4)

• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Inherent Structures, Configurational Entropy and Slow Glassy Dynamics
• Nonequilibrium fluctuations in small systems: From physics to biology
• Recent theories of glasses as out of equilibrium systems