Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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النتائج 1-3 من 21
الصفحة 51
... αβ αβ 11 029 ( 1. 13 ) = { 12 - YaB 1 მ C2 f2 αβ + ( 12 + Jo1 ) 4 მა C02 „ 5 მ ( ) Cop ( fo , f ) , + C02 aß ( 3 Μα + 2 m2 ) 15 + тв ma 2 3 av v2 m3 - 1 c3 ( 27 ) = { ; ( + 1 ) = ( 1 + 1 ) } Yaß αβ αν Μα ma 3 - { ( 2-3 ) - ( 3-2 ) ...
... αβ αβ 11 029 ( 1. 13 ) = { 12 - YaB 1 მ C2 f2 αβ + ( 12 + Jo1 ) 4 მა C02 „ 5 მ ( ) Cop ( fo , f ) , + C02 aß ( 3 Μα + 2 m2 ) 15 + тв ma 2 3 av v2 m3 - 1 c3 ( 27 ) = { ; ( + 1 ) = ( 1 + 1 ) } Yaß αβ αν Μα ma 3 - { ( 2-3 ) - ( 3-2 ) ...
الصفحة 57
... αβ ∞ . 5 ' fa scov2 dv fm B with the scalar collision term ( 4-18 ) . Integrations by parts give მა T ax дХа Μα α 18'8 dv + 4π Yαß = αβ -Yaẞ тв vfm av тв fm sfa α - - [ ~ ƒ ( 3 ) dv = Xα = fm Μα ∞ - fm 1 α v2XX ̧dv ‚ 3 + - Stoudu ...
... αβ ∞ . 5 ' fa scov2 dv fm B with the scalar collision term ( 4-18 ) . Integrations by parts give მა T ax дХа Μα α 18'8 dv + 4π Yαß = αβ -Yaẞ тв vfm av тв fm sfa α - - [ ~ ƒ ( 3 ) dv = Xα = fm Μα ∞ - fm 1 α v2XX ̧dv ‚ 3 + - Stoudu ...
الصفحة 59
... αβ ∞ ― 3 Qa8 = 2 + ma [ ® v15Cogdv + { novog ( Ts – To ) - αβ Considering expressions ( 4-17 ) and ( 4-18 ) , one can immediately integrate once over v : 1 60 Οδ δ Σ { w009 ( 8 fo , fm ) + words ( fm , 89 ) } αβ αβ Σαβ ΣΥαβ Тв Ta TB fm ...
... αβ ∞ ― 3 Qa8 = 2 + ma [ ® v15Cogdv + { novog ( Ts – To ) - αβ Considering expressions ( 4-17 ) and ( 4-18 ) , one can immediately integrate once over v : 1 60 Οδ δ Σ { w009 ( 8 fo , fm ) + words ( fm , 89 ) } αβ αβ Σαβ ΣΥαβ Тв Ta TB fm ...
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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