Extreme events driven glassy behaviour in granular media
arXiv:cond-mat/0210263 · doi:10.1209/epl/i2003-00245-y
Abstract
Motivated by recent experiments on the approach to jamming of a weakly forced granular medium using an immersed torsion oscillator [Nature 413 (2001) 407], we propose a simple model which relates the microscopic dynamics to macroscopic rearrangements and accounts for the following experimental facts: (1) the control parameter is the spatial amplitude of the perturbation and not its reduced peak acceleration; (2) a Vogel-Fulcher-Tammann-like form for the relaxation time. The model draws a parallel between macroscopic rearrangements in the system and extreme events whose probability of occurrence (and thus the typical relaxation time) is estimated using extreme-value statistics. The range of validity of this description in terms of the control parameter is discussed as well as the existence of other regimes.
7 pages, to appear in Europhys. Lett
References in corpus (8)
- Universality Classes for Extreme Value Statistics
- Compaction dynamics of a granular media under vertical tapping
- Edwards measures for powders and glasses
- Fluctuation-Dissipation-Theorem violation during the formation of a colloidal-glass
- Edwards' measures: a thermodynamic construction for dense granular media and glasses
- Experimental study of the Fluctuation-Dissipation-Relation during an aging process
- Glassy Motion of Elastic Manifolds
- Vibration-induced "thermally activated" jamming transition in granular media