Volume 61, Number 2, January 2003
|Page(s)||247 - 253|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 January 2003|
Dynamics of dilute disordered models: A solvable case
Laboratoire de Physique Théorique de l'Ecole Normale Supérieure 24 rue Lhomond, 75231 Paris Cedex 05, France
2 Laboratoire de Physique Théorique et Hautes Energies 4 place Jussieu, 75252 Paris Cedex 05, France
Accepted: 23 October 2002
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.
PACS: 75.10.Nr – Spin-glass and other random models / 75.10.Hk – Classical spin models / 64.70.Pf – Glass transitions
© EDP Sciences, 2003
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