2003/09/06 by Masaharu Isobe · 17 citations
Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Cluster analysis #Enstrophy #Fluid Dynamics and Turbulent Flows #Granular flow and fluidized beds #Mathematics #Mechanics #Particle Dynamics in Fluid Flows #Physics #Shearing (physics) #Statistical physics #Statistics #Thermodynamics #Turbulence #Vortex #Vorticity #cond-mat
paper · pdf · doi:10.1103/physreve.68.040301
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 68(4), 040301 (American Physical Society) · 4 pages, 4 figures, to be published in PRE
arxiv created 2003/09/06 · openalex publication_date 2003/10/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We studied the macroscopic statistical properties on the freely evolving quasielastic hard disk (granular) system by performing a large-scale (up to a few million particles) event-driven molecular dynamics systematically and found it to be 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.