Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 24
... collision term vanishes if the two distribution functions are Maxwellians 3/2 Μα fM ( va ) = Πα 2πTa exp { - Та ( Va 2Ta - with the same mean velocity ( ua = ug ) and the same temperature ( Ta = T3 ) . In particular , the self - collision ...
... collision term vanishes if the two distribution functions are Maxwellians 3/2 Μα fM ( va ) = Πα 2πTa exp { - Та ( Va 2Ta - with the same mean velocity ( ua = ug ) and the same temperature ( Ta = T3 ) . In particular , the self - collision ...
الصفحة 52
... Self - collisions B = In case of collisions of a species with itself ( self - collisions ẞ a ) , the scalar collision term ( 4-5 ) takes a remarkable and little known form [ 37 ] : Coa ( fa , fa ) αα Yла дід Yaa Уаа д a w 3 = W = vt av ...
... Self - collisions B = In case of collisions of a species with itself ( self - collisions ẞ a ) , the scalar collision term ( 4-5 ) takes a remarkable and little known form [ 37 ] : Coa ( fa , fa ) αα Yла дід Yaa Уаа д a w 3 = W = vt av ...
الصفحة 57
... self - collision term ( 4-19 ) gives Ta • ∞ Em fm 16 ' -Yaa δ α д Ха α 1 !! = - / ( 3 X ) ( 3X ) du αα ta ma Jo v fm and the quadratic form negativity 1660 is obvious . We define now Jo's αβ = αα 100 19 fm Chv2dv fm with the vector ...
... self - collision term ( 4-19 ) gives Ta • ∞ Em fm 16 ' -Yaa δ α д Ха α 1 !! = - / ( 3 X ) ( 3X ) du αα ta ma Jo v fm and the quadratic form negativity 1660 is obvious . We define now Jo's αβ = αα 100 19 fm Chv2dv fm with the vector ...
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atomic species BBGKY hierarchy Boltzmann Equation Braginskii charge classical collision frequencies collision integrals collision operator collision terms collisional conservation equation Coulomb logarithms defined diffusion distribution function electric field electron-ion energy equation Enskog equal mass ions equation set equilibrium fluid equations Fokker-Planck Galilean invariance heat flux heavy ions hydrodynamic interaction interdiffusion ion species ionic Landau Lemma limit linear magnetic field Maxwellian distributions Maxwellian estimate mean velocity multi-fluid equations neutral plasma obtained Ohm's law particle Perthame perturbation calculation perturbation equations Phys Plasma Physics quantum Quantum Hydrodynamics Raß relative velocity scalar self-collision T₁ T₂ tensor Theorem thermal transport coefficients transport equations vector viscosity Vlasov Equation Wigner αα αβ Μα тв ть მა