Velocity Statistics in the Two-Dimensional Granular Turbulence

Abstract

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.

4 pages, 4 figures, to be published in PRE

References in corpus (6)

• Statistical mechanics of fluidized granular media: short range velocity correlations
• Simple and efficent algorithm for large scale molecular dynamics simulation in hard disk systems
• Steady state properties of a driven granular medium
• Nonlinear analysis of the shearing instability in granular gases
• Velocity Distribution of Inelastic Granular Gas in Homogeneous Cooling State
• Phase transition in inelastic disks

Cited by in corpus (3)

• The dynamical collision network in granular gases
• Effects of Velocity Correlation on Early Stage of Free Cooling Process of Inelastic Hard Sphere System
• Diffusion and velocity correlations of the phase transitions in a system of macroscopic rolling spheres