Mode-Coupling Approximations, Glass Theory and Disordered Systems

Details Mode-Coupling Approximations, Glass Theory and Disordered Systems Mode-Coupling Approximations, Glass Theory and Disordered Systems

1995-11-08

arxiv.org/abs/cond-mat/9511042v1

PhysicaA226:243,1996

Physics

Condensed Matter

32 pages, 7 figs., uuencoded ps file

Scientific paper

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 ($\beta$) and long ($\alpha$) time regimes.

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