Volume 61, Number 1, January 2003
|Page(s)||60 - 66|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 January 2003|
Extreme events-driven glassy behaviour in granular media
Institut de Physique de la Matière Complexe,
Faculté des Sciences de Base Ecole Polytechnique
Fédérale de Lausanne - CH-1015 Lausanne, Switzerland
2 Laboratoire de Physique Théorique, Unité Mixte de Recherche UMR 8627 Bât. 210, Université de Paris-Sud - 91405 Orsay Cedex, France
3 Università degli Studi di Roma “La Sapienza”, Dipartimento di Fisica P.le A. Moro 5, 00185 Roma, Italy and INFM, Center for Statistical Mechanics and Complexity - Roma, Italy
Accepted: 8 October 2002
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.
PACS: 45.70.-n – Granular systems / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.-r – Probability theory, stochastic processes, and statistics
© EDP Sciences, 2003
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