1997/10/10 by Twan van Noije, T. P. C. van Noije, M. H. Ernst +2 · 1 citation
Engineering · Environmental Science · Physics and Astronomy · #Granular flow and fluidized beds #Landslides and related hazards #Particle Dynamics in Fluid Flows #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.57.r4891
12 pages, Latex, 3 figures
arxiv created 1997/10/10 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The clustering instability in freely evolving granular fluids manifests itself in the density-density correlation function and structure factor. These functions are calculated from fluctuating hydrodynamics. As time increases, the structure factor of density fluctuations develops a maximum, which shifts to smaller wave numbers (growing correlation length). Furthermore, the inclusion of longitudinal velocity fluctuations changes long-range correlations in the flow field qualitatively and extends the validity of the theory for spatial velocity correlations to higher inelasticities. The theoretical predictions agree well with two-dimensional molecular-dynamics simulations.