Dynamics of dilute disordered models: a solvable case

Abstract

We study the dynamics of a dilute spherical model with two body interactions and random exchanges. We analyze the Langevin equations and we introduce a functional variational method to study generic dilute disordered models. A crossover temperature replaces the dynamic transition of the fully-connected limit. There are two asymptotic regimes, one determined by the central band of the spectral density of the interactions and a slower one determined by localized configurations on sites with high connectivity. We confront the behavior of this model to the one of real glasses.

7 pages, 4 figures. Clarified, final version

References in corpus (1)

• Sparse random matrices: the eigenvalue spectrum revisited

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