2005/02/07 by Sean McNamara, Sean Mcnamara, Eric Falcon +1 · 1 citation
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Granular flow and fluidized beds #High-pressure geophysics and materials #cond-mat.other #earthquake and tectonic studies
paper · pdf · doi:10.1103/physreve.71.031302
published as Physical Review E 71 (2005) 031302 · to be published in Phys. Rev. E
arxiv created 2005/02/07 · openalex publication_date 2005/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed in both the presence and the absence of gravity. The coefficient of restitution used here depends on the impact velocity by taking into account both the viscoelastic and plastic deformations of particles, occurring at low and high velocities, respectively. We show that this model with impact-velocity-dependent restitution coefficient reproduces results that agree with experiments. We measure the scaling exponents of the granular temperature, collision frequency, impulse, and pressure with the vibrating piston velocity as the particle number increases. As the system changes from a homogeneous gas state at low density to a clustered state at high density, these exponents are all found to decrease continuously with increasing particle number. All these results differ significantly from classical inelastic hard sphere kinetic theory and previous simulations, both based on a constant restitution coefficient.