Issue |
Europhys. Lett.
Volume 61, Number 1, January 2003
|
|
---|---|---|
Page(s) | 60 - 66 | |
Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
DOI | https://doi.org/10.1209/epl/i2003-00245-y | |
Published online | 01 January 2003 |
Extreme events-driven glassy behaviour in granular media
1
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
Received:
18
March
2002
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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