Universal scaling dynamics in a perturbed granular gas

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Published 16 February 2010 Europhysics Letters Association
, , Citation Zahera Jabeen et al 2010 EPL 89 34001 DOI 10.1209/0295-5075/89/34001

0295-5075/89/3/34001

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 tα, and the energy decreases as td, 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.

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10.1209/0295-5075/89/34001