Subdiffusive motion in kinetically constrained models
Statistical Mechanics
2009-09-05 v1
Abstract
We discuss a kinetically constrained model in which real-valued local densities fluctuate in time, as introduced recently by Bertin, Bouchaud and Lequeux. We show how the phenomenology of this model can be reproduced by an effective theory of mobility excitations propagating in a disordered environment. Both excitations and probe particles have subdiffusive motion, characterised by different exponents and operating on different time scales. We derive these exponents, showing that they depend continuously on one of the parameters of the model.
Cite
@article{arxiv.0809.2897,
title = {Subdiffusive motion in kinetically constrained models},
author = {Robert L. Jack and Peter Sollich and Peter Mayer},
journal= {arXiv preprint arXiv:0809.2897},
year = {2009}
}
Comments
12 pages, 5 figures