| Issue |
Europhys. Lett.
Volume 61, Number 2, January 2003
|
|
|---|---|---|
| Page(s) | 247 - 253 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2003-00226-8 | |
| Published online | 01 January 2003 | |
Dynamics of dilute disordered models: A solvable case
1
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
Corresponding authors: guilhem@lpt.ens.fr leticia@lpt.ens.fr
Received:
5
August
2002
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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