Subdiffusive motion in kinetically constrained models

Details Subdiffusive motion in kinetically constrained models Subdiffusive motion in kinetically constrained models

2008-09-17

arxiv.org/abs/0809.2897v1

Phys. Rev. E 78, 061107 (2008)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 5 figures

Scientific paper

10.1103/PhysRevE.78.061107

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.

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