Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University

Exponential velocity tails in a driven inelastic Maxwell model

T. Antal1,2 , M. Droz1 , A. Lipowski1,3

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


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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