Universal scaling dynamics in a perturbed granular gas

Abstract

We study the response of a granular system at rest to an instantaneous input of energy in a localised region. We present scaling arguments that show that, in $d$ dimensions, the radius of the resulting disturbance increases with time $t$ as $t^{\alpha }$, and the energy decreases as $t^{-\alpha d}$, where the exponent $\alpha =1/(d+1)$ is independent of the coefficient of restitution. We support our arguments with an exact calculation in one dimension and event driven molecular dynamic simulations of hard sphere particles in two and three dimensions.

5 pages, 5 figures

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Cited by in corpus (12)

• Energy decay in three-dimensional freely cooling granular gas
• Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics
• The Taylor-von Neumann-Sedov blast-wave solution: comparisons with microscopic simulations of a one-dimensional gas
• Dynamics of an Intruder in Dense Granular Fluids
• Blast dynamics in a dissipative gas
• Microscopic origin of self-similarity in granular blast waves
• Inhomogeneous Cooling of the Rough Granular Gas in Two Dimensions
• Shock propagation in locally driven granular systems
• Shock Propagation in Granular Flow Subjected to an External Impact
• Coarse grained dynamics of the freely cooling granular gas in one dimension
• Blast waves in two and three dimensions: Euler versus Navier Stokes equations
• Ballistic propagation of density correlations and excess wall forces in quenched granular media