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
Corresponding authors: email@example.com firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.