
We investigate the collision cascade that is generated by a single moving incident particle on a static hard-sphere gas. We argue that the number of moving particles at time t grows as t^{xi} and the number collisions up to time t grows as t^{eta}, with xi=2d/(d+2) and eta=2(d+1)/(d+2) and d the spatial dimension. These growth laws are the same as those from a hydrodynamic theory for the shock wave emanating from an explosion. Our predictions are verified by molecular dynamics simulations in d=1 and 2. For a particle incident on a static gas in a half-space, the resulting backsplatter ultimately contains almost all the initial energy.
3.5 pages, 4 figures, 2-column revtex4 format
Models, Statistical, Statistical Mechanics (cond-mat.stat-mech), Surface Properties, Biophysics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Diffusion, Physics - General Physics, General Physics (physics.gen-ph), Hardness, Computer Simulation, Gases, Particle Size, Condensed Matter - Statistical Mechanics, Algorithms
Models, Statistical, Statistical Mechanics (cond-mat.stat-mech), Surface Properties, Biophysics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Diffusion, Physics - General Physics, General Physics (physics.gen-ph), Hardness, Computer Simulation, Gases, Particle Size, Condensed Matter - Statistical Mechanics, Algorithms
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