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  • Letter

High-energy velocity tails in uniformly heated granular materials

Yangrui Chen1 and Jie Zhang1,2,*

  • 1School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

  • *jiezhang2012@sjtu.edu.cn

Phys. Rev. E 106, L052903 – Published 30 November, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.L052903

Abstract

We experimentally investigate the velocity distributions of quasi-two-dimensional granular materials 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 for volume fractions of 0.111≤ϕ≤0.832, covering a wide range of structures and dynamics. Surprisingly, our results are not only in excellent agreement with the prediction of the kinetic theories of granular gas but also hold for an extremely high-volume fraction of ϕ=0.832 where the granular material forms a crystalline solid and the kinetic theory of granular gas fails fantastically. Our experiment suggests that the density-independent high-energy velocity tails of β=1.50 are a characteristic of uniformly heated granular matter.

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