Field theory of statics and dynamics of glasses: Rare events and barrier distributionsL. Balents1 and P. Le Doussal2
1 Department of Physics, University of California Santa Barbara, CA 93106-4030, USA
2 CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure 24 Rue Lhomond 75231 Paris, France
(Received 16 September 2003; accepted in final form 17 December 2003)
We study thermally activated dynamics using functional renormalization within the field theory of randomly pinned elastic systems, a prototype for glasses. It appears through an essentially non-perturbative boundary layer in the running effective action, for which we find a consistent scaling ansatz to all orders. We find that in the statics the boundary layer describes the physics of rare low-energy metastable states as suggested by a phenomenological droplet picture. The extension to equilibrium dynamics mandates a non-trivial broad distribution of relaxation times for the large-scale modes, hitherto neglected in analytic calculations.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
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