Exponential velocity tails in a driven inelastic Maxwell model

Details Exponential velocity tails in a driven inelastic Maxwell model Exponential velocity tails in a driven inelastic Maxwell model

Publishing date

2002-07-03

URL

arxiv.org/abs/cond-mat/0207102v1

Journals

Phys.Rev. E 66, 062301 (2002)

Science

Physics

Field

Condensed Matter

SubField

Statistical Mechanics

Additional info

4 pages, 2eps figures included

Type

Scientific paper

Digital Object Identifier

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 ($P(v)\sim e^{-|v|/\sqrt D}$), 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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