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arxiv: cond-mat/0111093 · v1 · submitted 2001-11-06 · ❄️ cond-mat.stat-mech

Velocity Tails for Inelastic Maxwell Models

classification ❄️ cond-mat.stat-mech
keywords velocityboltzmanndistributionequationfunctioninelasticmaxwellmodels
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We study the velocity distribution function for inelastic Maxwell models, characterized by a Boltzmann equation with constant collision rate, independent of the energy of the colliding particles. By means of a nonlinear analysis of the Boltzmann equation, we find that the velocity distribution function decays algebraically for large velocities, with exponents that are analytically calculated.

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