2002/05/16 by Leon Balents, Pierre Le Doussal, Balents, Leon +1 · 1 citation
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Material Dynamics and Properties #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0205358
arxiv created 2002/05/16 · openalex publication_date 2002/05/16 · arxiv updated 2009/11/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We study thermally activated dynamics using functional renormalization within\nthe field theory of randomly pinned elastic systems, a prototype for glasses.\nIt appears through an essentially non-perturbative boundary layer in the\nrunning effective action, for which we find a consistent scaling ansatz to all\norders. We find that in the statics the boundary layer describes the physics of\nrare low energy metastable states as suggested by a phenomenological droplet\npicture. The extension to equilibrium dynamics mandates a non-trivial broad\ndistribution of relaxation times for the large scale modes, hitherto neglected\nin analytic calculations.\n