Models of Traps and Glass Phenomenology

Abstract

We study various models of independent particles hopping between energy ‘traps’ with a density of energy barriers ρ(E), on a d dimensional lattice or on a fully connected lattice. If ρ(E) decays exponentially, a true dynamical phase transition between a high temperature ‘liquid’ phase and a low temperature ‘aging’ phase occurs. More generally, however, one expects that for a large class of ρ(E), ‘interrupted’ aging effects appear at low enough temperatures, with an ergodic time growing faster than exponentially. The relaxation functions exhibit a characteristic shoulder, which can be fitted as stretched exponentials. A simple way of introducing interactions between the particles leads to a modified model with an effective diffusion constant in energy space, which we discuss in detail. Electronic addresses : monthus@amoco.saclay.cea.fr bouchaud@amoco.saclay.cea.fr

Cite this paper

@inproceedings{Monthus2008ModelsOT, title={Models of Traps and Glass Phenomenology}, author={C{\'e}cile Monthus and Jean-Philippe Bouchaud}, year={2008} }