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Mode-Coupling Approximations, Glass Theory and Disordered Systems

Jean-Philippe Bouchaud·Leticia Cugliandolo·Jorge Kurchan·Marc Mézard
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Abstract

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in a random potential. The physical consequences of this interrelation are underlined. It suggests to extend the mode-coupling approximation to temperatures well below the freezing temperature, in which aging effects become important. In this regime we suggest some new experiments in order to test a non-trivial prediction of the Mode-Coupling picture, which is a generalized relation between the short ($β$) and long ($α$) time regimes.

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Jean-Philippe Bouchaud, Leticia Cugliandolo, Jorge Kurchan, Marc Mézard. 1995-11-08. Mode-Coupling Approximations, Glass Theory and Disordered Systems. https://doi.org/10.1016/0378-4371(95)00423-8

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