Quantum Physics Division

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Exponential velocity tails in a driven inelastic Maxwell model

T. Antal^{1,2}
,
M. Droz^{1}
,
A. Lipowski^{1,3}

^{1} Department of Physics, University of Genève, CH 1211 Genève 4, Switzerland

^{2} Institute for Theoretical Physics, Eötvös University, Pázmány sétány 1/a, 1117 Budapest, Hungary

^{3} Department of Physics, A. Mickiewicz University, 61-614 Poznań, Poland

**Phys. Rev. E, 66, 062301 – 1-3 (2002)**

**DOI:** 10.1103/PhysRevE.66.062301

Abstract:

The problem of the steady-state velocity distribution in a driven inelastic Maxwell model of shaken granular material is revisited. Numerical solution of the master equation and analytical arguments show that the model has bilateral exponential velocity tails [P(v)~e^{-|v|/sqrt[D]}], where D is the amplitude of the noise. Previous study of this model predicted Gaussian tails [P(v)~e^{-av2}].

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