Dynamics of structural models with a long-range interaction: glassy versus non-glassy behavior
Abstract
By making use of the Langevin dynamics and its generating functional (GF) formulation the influence of the long-range nature of the interaction on the tendency of the glass formation is systematically investigated. In doing so two types of models is considered: (i) the non-disordered model with a pure repulsive type of interaction and (ii) the model with a randomly distributed strength of interaction (a quenched disordered model). The long-ranged potential of interaction is scaled with a number of particles in such a way as to enable for GF the saddle-point treatment as well as the systematic 1/N - expansion around it. We show that the non-disordered model has no glass transition which is in line with the mean-field limit of the mode - coupling theory (MCT) predictions. On the other hand the model with a long-range interaction which above that has a quenched disorder leads to MC - equations which are generic for the - spin glass model and polymeric manifold in a random media.
Cite
@article{arxiv.cond-mat/0003444,
title = {Dynamics of structural models with a long-range interaction: glassy versus non-glassy behavior},
author = {V. G. Rostiashvili and T. A. Vilgis},
journal= {arXiv preprint arXiv:cond-mat/0003444},
year = {2009}
}
Comments
to be published in Phys. Rev E