Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems

Preprint

1 July 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0202392

Abstract

We show how dynamical heterogeneities in glass forming systems emerge as a consequence of the existence of dynamical constraints, and we offer an interpretation of the glass transition as an entropy crisis in trajectory space (space-time) rather than in configuration space. To illustrate our general ideas, we analyze the one dimensional (d=1) Fredrickson-Andersen and East models. Dynamics of such dynamically constrained systems are shown to be isomorphic to the statics of d+1 dimensional dense mixtures of polydisperse non-interpenetrating domains. The domains coincide with arrested regions in trajectory space.

Keywords

All Related Versions

Version 1, 2002-02-22, ArXiv
Version 2, 2002-07-01, ArXiv
Published version: Physical Review Letters, 89 (3), 035704.

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