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20 April 2024
 
  » arxiv » 0809.2897

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Subdiffusive motion in kinetically constrained models
Robert L. Jack ; Peter Sollich ; Peter Mayer ;
Date 17 Sep 2008
AbstractWe 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.
Source arXiv, 0809.2897
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