English

High-energy velocity tails in uniformly heated granular materials

Soft Condensed Matter 2022-12-14 v1

Abstract

We experimentally investigate the velocity distributions of quasi two-dimensional granular materials, which are homogeneously driven, i.e. uniformly heated, by an electromagnetic vibrator, where the translational velocity and the rotation of a single particle are Gaussian and independent. We observe the non-Gaussian distributions of particle velocity, with the density-independent high-energy tails characterized by an exponent of β=1.50±0.03\beta=1.50\pm0.03 for volume fractions of 0.111ϕ0.8320.111\le\phi\le0.832, covering a wide range of structures and dynamics. Surprisingly, our results are in excellent agreement with the prediction of the kinetic theories of granular gas, even for an extremely high volume fraction of ϕ=0.832\phi=0.832 where the granular material forms a crystalline solid. Our experiment reveals that the density-independent high-energy velocity tails of β=1.50\beta=1.50 are a fundamental property of uniformly heated granular matter.

Keywords

Cite

@article{arxiv.2206.15160,
  title  = {High-energy velocity tails in uniformly heated granular materials},
  author = {Yangrui Chen and Jie Zhang},
  journal= {arXiv preprint arXiv:2206.15160},
  year   = {2022}
}