Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction.

Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction. Research Abstract Details 

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Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction. Abstract Text:

E Trizac,A Barrat,M H Ernst,E Trizac,A Barrat,M H Ernst,

Combining analytical and numerical methods, we study within the framework of the homogeneous nonlinear Boltzmann equation a broad class of models relevant for the dynamics of dissipative fluids, including granular gases. We use the method presented in a previous paper [J. Stat. Phys. 124, 549 (2006)] and extend our results to a different heating mechanism: namely, a deterministic nonlinear friction force. We derive analytically the high-energy tail of the velocity distribution and compare the theoretical predictions with high-precision numerical simulations. Stretched exponential forms are obtained when the nonequilibrium steady state is stable. We derive subleading corrections and emphasize their relevance. In marginal stability cases, power-law behaviors arise, with exponents obtained as the roots of transcendental equations. We also consider some simple Bhatnagar-Gross-Krook models, driven by similar heating devices, to test the robustness of our predictions.

Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction. Publishing Authors By Initials

E Trizac,A Barrat,MH Ernst,E Trizac,A Barrat,MH Ernst,

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Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: Physical review. E, Statistical, nonlinear, and so

VOLUME: 76

Page Numbers: 031305

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ISSN: 1539-3755

DAY: 21

MONTH: 09

YEAR: 2007

Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction. Information

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LANGUAGE: eng

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Grant and Affiliation Information for Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction.

AFFILIATION: Université Paris-Sud, 91405 Orsay, France.

Country: United States

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MEDLINETA: Phys Rev E Stat Nonlin Soft Ma

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