Forcing independent velocity distributions in an experimental granular fluid

P. M. Reis, R. A. Ingale, and M. D. Shattuck
Phys. Rev. E 75, 051311 – Published 31 May 2007

Abstract

We present experimental results on the velocity statistics of a granular fluid with an effective stochastic thermostat, in a quasi-two-dimensional configuration. We find the base state, as measured by the single particle velocity distribution P(c) in the central high-probability regions, to be well described by P(c)=fMB[1+a2S2(c2)]: It deviates from a Maxwell-Boltzmann fMB by a second order Sonine polynomial S2(c2) with a single adjustable parameter a2. We find a2 to be a function of the filling fraction and independent of the driving over a wide range of frequencies and accelerations. Moreover, there is a consistent overpopulation in the distribution’s tails, which scale as Pexp(A×c32). To our knowledge, this is the first time that Sonine deviations have been measured in an experimental system.

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  • Received 10 November 2006

DOI:https://doi.org/10.1103/PhysRevE.75.051311

©2007 American Physical Society

Authors & Affiliations

P. M. Reis*, R. A. Ingale, and M. D. Shattuck

  • Benjamin Levich Institute, The City College of the City University of New York, 140th St. and Convent Av., New York, New York 10031, USA

  • *Present address: Laboratoire PMMH (UMR7636 CNRS-ESPCI-P6-P7), 10 rue Vauquelin, 75231 Paris, France. Email address: preis@pmmh.espci.fr
  • Email address: shattuck@ccny.cuny.edu

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Issue

Vol. 75, Iss. 5 — May 2007

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