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Shock propagation in locally driven granular systems
Jilmy P Joy1,2, Sudhir N Pathak3, Dibyendu Das4
1The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India.
Abstract:
We study shock propagation in a system of initially stationary hard spheres that is driven by a continuous injection of particles at the origin. The disturbance created by the injection of energy spreads radially outward through collisions between particles. Using scaling arguments, we determine the exponent characterizing the power-law growth of this disturbance in all dimensions. The scaling functions describing the various physical quantities are determined using large-scale event-driven simulations in two and three dimensions for both elastic and inelastic systems. The results are shown to describe well the data from two different experiments on granular systems that are similarly driven.
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