Exciting Hard Spheres

Details Exciting Hard Spheres Exciting Hard Spheres

2008-05-25

arxiv.org/abs/0805.3783v1

Phys. Rev. E 77, 030301 (2008)

Physics

Fluid Dynamics

3.5 pages, 4 figures, 2-column revtex4 format

Scientific paper

10.1103/PhysRevE.78.030301

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.

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