Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-10-11
Europhys. Lett. 61 (2003) 60
Physics
Condensed Matter
Statistical Mechanics
7 pages, to appear in Europhys. Lett
Scientific paper
10.1209/epl/i2003-00245-y
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.
Barrat Alain
D'Anna G.
Gremaud G.
Loreto Vittorio
Mayor P.
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