Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-11-19
Lect. Notes Phys. 624 (2003) 347 - 366
Physics
Condensed Matter
Statistical Mechanics
In: T. Poeschel, N.V. Brilliantov (eds.) "Granular Gas Dynamics", Lecture Notes in Physics Vol. 624, Springer (Berlin, 2003),
Scientific paper
We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed both in presence [1] or absence [2] of gravity. We show that a model with impact velocity dependent restitution coefficient is necessary to bring the simulations into agreement with experiments. We measure the scaling exponents of the granular temperature, collision frequency, impulse and pressure with the vibrating piston velocity. 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 the particle number. In absence of gravity, a loose cluster appears near the upper wall, opposite the piston, and acts as a buffer for fastest particles leading to unexpected non-extensive scaling exponents ; whereas in presence of gravity, the cluster bounces as a single inelastic body. All these results differ significantly from classical inelastic hard sphere kinetic theory and previous simulations, both based on a constant restitution coefficient.
Falcon Eric
McNamara Sean
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