Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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النتائج 1-3 من 4
الصفحة 53
... βα C = 0 , C3α = RBα afo m კ n კ მა C2 βα = 0 , v = │v3 − u│ . ( 4-13 ) These results might be obtained also , with more difficulty , as limits of Shkarofsky's expressions ( 4-5 ) to ( 4-7 ) . 4.3 Linearized collision terms ...
... βα C = 0 , C3α = RBα afo m კ n კ მა C2 βα = 0 , v = │v3 − u│ . ( 4-13 ) These results might be obtained also , with more difficulty , as limits of Shkarofsky's expressions ( 4-5 ) to ( 4-7 ) . 4.3 Linearized collision terms ...
الصفحة 57
... βα αβ βα บ can be checked easily . Moreover , the scalar 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 ...
... βα αβ βα บ can be checked easily . Moreover , the scalar 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 ...
الصفحة 58
... βα αβ βα can be checked . αα α Χα Jó ! = - Yo . [ ® VET { I 5 ( 1X2 ) . ( 2X ) + — Xxx . dv . vEm fm Μα dv fm α with the negativity property Job ≤ 0 . αα ( 4-26 ) дх 4 dv fm α Define finally C2v2dv Καβ = fm with the tensor collision ...
... βα αβ βα can be checked . αα α Χα Jó ! = - Yo . [ ® VET { I 5 ( 1X2 ) . ( 2X ) + — Xxx . dv . vEm fm Μα dv fm α with the negativity property Job ≤ 0 . αα ( 4-26 ) дх 4 dv fm α Define finally C2v2dv Καβ = fm with the tensor collision ...
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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