Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems

Details Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems

2002-02-22

arxiv.org/abs/cond-mat/0202392v2

Phys. Rev. Lett. 89, 035704 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.89.035704

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.

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