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Exponential velocity tails in a driven inelastic Maxwell model

Tibor Antal·Michel Droz·Adam Lipowski
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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 ($P(v)\sim e^{-|v|/\sqrt D}$), where $D$ is the amplitude of the noise. Previous study of this model predicted Gaussian tails ($P(v)\sim e^{-av^2}$).

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Tibor Antal, Michel Droz, Adam Lipowski. 2002-07-03. Exponential velocity tails in a driven inelastic Maxwell model. https://doi.org/10.1103/physreve.66.062301

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