Forcing independent velocity distributions in an experimental granular fluid.
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)=f{MB}[1+a2S2(c2)] : It deviates from a Maxwell-Boltzmann f{MB} 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 P proportional, variant exp(-A x c{3/2}) . To our knowledge, this is the first time that Sonine deviations have been measured in an experimental system.
Benjamin Levich Institute, The City College of the City University of New York, New York, NY 10031, USA. preis@pmmh.espci.fr
P M
PM
Reis
R A
RA
Ingale
M D
MD
Shattuck