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We report numerical simulations of strongly vibrated granular materialsdesigned to mimic recent experiments performed both in presence or absence ofgravity. The coefficient of restitution used here depends on the impactvelocity by taking into account both the viscoelastic and plastic deformationsof particles, occurring at low and high velocities respectively. We show thatthis model with impact velocity dependent restitution coefficient reproduceresults that agree with experiments. We measure the scaling exponents of thegranular temperature, collision frequency, impulse, and pressure with thevibrating piston velocity as the particle number increases. As the systemchanges from a homogeneous gas state at low density to a clustered state athigh density, these exponents are all found to decrease continuously with theparticle number. All these results differ significantly from classicalinelastic hard sphere kinetic theory and previous simulations, both based on aconstant restitution coefficient.Comment: to be published in Phys. Rev.

Simulations of vibrated granular medium with impact-velocity-dependent restitution coefficient