Numerical Study of Granular Turbulence and the appearance of $k^{-5/3}$ energy spectrum without flow

Details Numerical Study of Granular Turbulence and the appearance of $k^{-5/3}$ energy spectrum without flow Numerical Study of Granular Turbulence and the appearance of $k^{-5/3}$ energy spectrum without flow

1994-05-07

arxiv.org/abs/chao-dyn/9405003v1

Physica D 80 (1995) 61

Physics

Condensed Matter

14 pages, and 10 figures added after the text (uuencoded compressed tar-file)

Scientific paper

The vibrated bed of powder, a vessel that mono disperse glass beads fill and a loud speaker shakes, is investigated numerically with the distinct element method, a kind of molecular dynamics. When the bed is heavily shaken, the displacement vectors of powder have the power spectrum with the dependence upon the wave number $k$ as $k^{-5/3}$. The origin of this spectrum is suggested to be the balance between the injected and dissipative energy, analogous to the proposal by Kolmogorov to explain the $k^{-5/3}$ energy spectrum observed in the fluid turbulence. Furthermore, the same spectrum still appears even without flows of powder. Thus Kolmogorov's argument is more universal than believed before.

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