Dynamics of dilute disordered models: a solvable case
凝聚态物理
2009-11-07 v2
摘要
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.
引用
@article{arxiv.cond-mat/0204613,
title = {Dynamics of dilute disordered models: a solvable case},
author = {Guilhem Semerjian and Leticia F. Cugliandolo},
journal= {arXiv preprint arXiv:cond-mat/0204613},
year = {2009}
}
备注
7 pages, 4 figures. Clarified, final version