English

Universal velocity distributions in an experimental granular fluid

Soft Condensed Matter 2009-11-11 v3 Statistical Mechanics

Abstract

We present experimental results on the velocity statistics of a uniformly heated granular fluid, in a quasi-2D configuration. We find the base state, as measured by the single particle velocity distribution f(c)f(c), to be universal over a wide range of filling fractions and only weakly dependent on all other system parameters. There is a consistent overpopulation in the distribution's tails, which scale as fexp(const.×c3/2)f\propto\exp(\mathrm{const.}\times c^{-3/2}). More importantly, the high probability central region of f(c)f(c), at low velocities, deviates from a Maxwell-Boltzmann by a second order Sonine polynomial with a single adjustable parameter, in agreement with recent theoretical analysis of inelastic hard spheres driven by a stochastic thermostat. To our knowledge, this is the first time that Sonine deviations have been measured in an experimental system.

Keywords

Cite

@article{arxiv.cond-mat/0611024,
  title  = {Universal velocity distributions in an experimental granular fluid},
  author = {Pedro M. Reis and Rohit A. Ingale and Mark D. Shattuck},
  journal= {arXiv preprint arXiv:cond-mat/0611024},
  year   = {2009}
}

Comments

13 pages, 15 figures, with minor corrections, submitted to Phys. Rev. E

R2 v1 2026-07-22T11:39:14.874Z