Dynamics of dilute disordered models: a solvable case

Details Dynamics of dilute disordered models: a solvable case Dynamics of dilute disordered models: a solvable case

2002-04-29

arxiv.org/abs/cond-mat/0204613v2

Europhys. Lett. 61, 247 (2003)

Physics

Condensed Matter

7 pages, 4 figures. Clarified, final version

Scientific paper

10.1209/epl/i2003-00226-8

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.

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