P L Krapivsky and E Ben-Naim 2002 J. Phys. A: Math. Gen. 35 L147 doi:10.1088/0305-4470/35/11/103
Nontrivial velocity distributions in inelastic gases
FREE ARTICLEP L Krapivsky1 and E Ben-Naim2
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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 
. In the unforced case, we find that the velocity distribution decays algebraically, P(v,t)~v-σ, for sufficiently large velocities. The exponent σ(d,) exhibits nontrivial dependence on the spatial dimension and the dissipation coefficient.
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Issue 11 (22 March 2002)
Received 23 January 2002
Published 8 March 2002
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Nontrivial velocity distributions in inelastic gases
P L Krapivsky and E Ben-Naim 2002 J. Phys. A: Math. Gen. 35 L147
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