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Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems | | Juan P. Garrahan
; David Chandler
; | | Date: |
22 Feb 2002 | | Journal: | Phys. Rev. Lett. 89, 035704 (2002) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | 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. | | Source: | arXiv, cond-mat/0202392 | | Other source: | [GID 344254] pmid12144405 | | Services: | Forum | Review | PDF | Favorites | |
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