Velocity Statistics in the Two-Dimensional Granular Turbulence

Details Velocity Statistics in the Two-Dimensional Granular Turbulence Velocity Statistics in the Two-Dimensional Granular Turbulence

2003-09-06

arxiv.org/abs/cond-mat/0309167v1

Phys. Rev. E, Vol.68, 040301(R) (2003).

Physics

Condensed Matter

4 pages, 4 figures, to be published in PRE

Scientific paper

10.1103/PhysRevE.68.040301

We studied the macroscopic statistical properties on the freely evolving quasi-elastic hard disk (granular) system by performing a large-scale (up to a few million particles) event-driven molecular dynamics systematically and found that remarkably analogous to an enstrophy cascade process in the decaying two-dimensional fluid turbulence. There are four typical stages in the freely evolving inelastic hard disk system, which are homogeneous, shearing (vortex), clustering and final state. In the shearing stage, the self-organized macroscopic coherent vortices become dominant. In the clustering stage, the energy spectra are close to the expectation of Kraichnan-Batchelor theory and the squared two-particle separation strictly obeys Richardson law.

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