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Phys. Rev. Lett. 89, 064302 (2002) [4 pages]

Turbulentlike Fluctuations in Quasistatic Flow of Granular Media

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Farhang Radjai
LMGC, CNRS-Université Montpellier II, Place Eugne Bataillon, 34095 Montpellier Cedex, France

Stéphane Roux
Laboratoire “Surface du Verre et Interfaces,” CNRS-Saint Gobain, 39 Quai Lucien Lefranc, 93303 Aubervilliers Cedex, France

Received 23 January 2002; published 22 July 2002

We analyze particle velocity fluctuations in a simulated granular system subjected to homogeneous quasistatic shearing. We show that these fluctuations share the following scaling characteristics of fluid turbulence in spite of their different physical origins: (i) scale-dependent probability distribution with non-Gaussian broadening at small time scales; (ii) spatial power spectrum of the velocity field showing a power-law decay, reflecting long-range correlations and the self-affine nature of the fluctuations; and (iii) superdiffusion of particles with respect to the mean background flow.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.064302
DOI:
10.1103/PhysRevLett.89.064302
PACS:
45.70.Mg, 47.27.–i