Universal scaling dynamics in a perturbed granular gas
Institute of Mathematical Sciences, CIT Campus, Taramani - Chennai-600113, India
Corresponding author: firstname.lastname@example.org
Accepted: 14 January 2010
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 tα, and the energy decreases as t–αd, where the exponent α = 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-dynamics simulations of hard-sphere particles in two and three dimensions.
PACS: 45.70.-n – Granular systems / 47.70.Nd – Nonequilibrium gas dynamics / 45.70.Qj – Pattern formation
© EPLA, 2010