Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 24
... Raß = QaB + ua Raß = Μαβ β V fafad Vd'Vem cm 1 ( 2-2 ) : 4 x Z2 Z } e1ln ^ a3 / · Vcmfaf3d3Vd3Vem · Μαβ V3 · with the reduced mass татв = Μαβ ma + mp Conservation relations ( 1-10 ) are indeed verified . The entropy being written as H ...
... Raß = QaB + ua Raß = Μαβ β V fafad Vd'Vem cm 1 ( 2-2 ) : 4 x Z2 Z } e1ln ^ a3 / · Vcmfaf3d3Vd3Vem · Μαβ V3 · with the reduced mass татв = Μαβ ma + mp Conservation relations ( 1-10 ) are indeed verified . The entropy being written as H ...
الصفحة 39
... Raß + Rßα = 0 can be made true to any order of perturbation , but there remains Qaß + Q Bα = ( uß – ua ) · Rɑß ... Raß , QBα = ma ( ug - ua ) Raß ( 3-9 ) ma + mp To summarize , calculating only first - order perturbations ( 3-8 ) makes ...
... Raß + Rßα = 0 can be made true to any order of perturbation , but there remains Qaß + Q Bα = ( uß – ua ) · Rɑß ... Raß , QBα = ma ( ug - ua ) Raß ( 3-9 ) ma + mp To summarize , calculating only first - order perturbations ( 3-8 ) makes ...
الصفحة 49
... Raß = 2xmα 4π v1Coзdv , Raß == -ma 3 [ °° v3Cagdv . ( 4-2 ) There are second and third order terms in these general formulas . They can of course be neglected in a first order perturbation calculation . 4.2 Developed collision terms ...
... Raß = 2xmα 4π v1Coзdv , Raß == -ma 3 [ °° v3Cagdv . ( 4-2 ) There are second and third order terms in these general formulas . They can of course be neglected in a first order perturbation calculation . 4.2 Developed collision terms ...
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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