Exponential velocity tails in a driven inelastic Maxwell model

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 ($P(v)\sim e^{-a{v}^2}$).

4 pages, 2eps figures included

References in corpus (2)

• Scaling, Multiscaling, and Nontrivial Exponents in Inelastic Collision Processes
• Steady state properties of a mean field model of driven inelastic mixtures

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