title: Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction.
abstract: 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.
authors.affiliation: Université Paris-Sud, 91405 Orsay, France.
authors.forename: E
authors.initials: E
authors.lastname: Trizac
authors.forename: A
authors.initials: A
authors.lastname: Barrat
authors.forename: M H
authors.initials: MH
authors.lastname: Ernst