Publication : t04/016

Dynamical arrest, tracer diffusion and Kinetically Constrained Lattice Gases

Toninelli C. (Laboratoire de Physique Théorique (LPT), Ecole Normale Supérieure (ENS), 24 rue Lhomond, F-75005 Paris, FRANCE)
Biroli G. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:
We analyze the tagged particle diffusion for kinetically constrained models for glassy systems. We present a method, focusing on the Kob-Andersen model as an example, which allows to prove lower and upper bounds for the self diffusion coefficient $D_S$. This method leads to the exact density dependence of $D_{S}$, at high density, for models with finite defects and to prove diffusivity, $D_{S}>0$, at any finite density for highly cooperative models. A more general outcome is that under very general assumptions one can exclude that a dynamical transition, like the one predicted by the Mode-Coupling-Theory of glasses, takes place at a finite temperature/chemical potential for systems of interacting particles on a lattice.
Année de publication : 2004
Revue : J. Stat. Phys. 117 27-54 (2004)
DOI : 10.1023/B:JOSS.0000044063.86539.19
Preprint : arXiv:cond-mat/0402314
Langue : Anglais

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