Nontrivial Velocity Distributions in Inelastic Gases,
P.L. Krapivsky and E. Ben-Naim
We study spatially homogeneous inelastic gases using the Boltzmann
equation. We consider uniform collision rates and obtain analytical
results valid for arbitrary spatial dimension d and arbitrary
dissipation coefficient \epsilon. In the unforced case, we find
that the velocity distribution decays algebraically, P(v,t)~
v^{-sigma}$, for sufficiently large velocities. The exponent
\sigma(d,epsilon) exhibits nontrivial dependence on the spatial
dimension and the dissipation coefficient.
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