Subdiffusive motion in kinetically constrained models

Robert L Jack, P Sollich, P Mayer

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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, characterized 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.
Original languageEnglish
Pages (from-to)061107
Number of pages1
JournalPhysical Review E
Volume78
Issue number6
DOIs
Publication statusPublished - Dec 2008

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