Nontrivial velocity distributions in inelastic gases

doi:10.1088/0305-4470/35/11/103

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Nontrivial velocity distributions in inelastic gases

P L Krapivsky et al 2002 J. Phys. A: Math. Gen. 35 L147-L152 doi: 10.1088/0305-4470/35/11/103

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P L Krapivsky¹ and E Ben-Naim²
¹ Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA
² Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

Abstract. 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^-σ, for sufficiently large velocities. The exponent σ(d, epsilon ) exhibits nontrivial dependence on the spatial dimension and the dissipation coefficient.

PACS numbers: 05.20.Dd, 05.40.-a, 45.70.Mg, 47.70.Nd

Print publication: Issue 11 (22 March 2002)
Received 23 January 2002
Published 8 March 2002

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Nontrivial velocity distributions in inelastic gases

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