Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 50
... მა тв Cos = C09 ( 18 , 19 ) = Yes 3 { ( 12 + J ° , 1 ) 50+ m2 100 αβ ( fo , Уав д 2 მა with the obvious particle number conservation Cov2du = 0 . ( 4-5 ) We rewrite the vector part ( [ 35 ] , eq . ( 36 ) , and [ 32 ] , eq . ( 7–75 ) ...
... მა тв Cos = C09 ( 18 , 19 ) = Yes 3 { ( 12 + J ° , 1 ) 50+ m2 100 αβ ( fo , Уав д 2 მა with the obvious particle number conservation Cov2du = 0 . ( 4-5 ) We rewrite the vector part ( [ 35 ] , eq . ( 36 ) , and [ 32 ] , eq . ( 7–75 ) ...
الصفحة 55
... მა Em αα α fm An inhomogeneous equation Coa = can thus be solved by an inverse cas- cade of integrations and ... მა 1 ) Co ) ( sm . f ) ) = 4π + αβ α та 1 д mg v3 av fa M B v3 Dv ( 1 Та д ( 1/13 ע . mg dv тв მა ( 1+ αβ Μα ...
... მა Em αα α fm An inhomogeneous equation Coa = can thus be solved by an inverse cas- cade of integrations and ... მა 1 ) Co ) ( sm . f ) ) = 4π + αβ α та 1 д mg v3 av fa M B v3 Dv ( 1 Та д ( 1/13 ע . mg dv тв მა ( 1+ αβ Μα ...
الصفحة 56
... მა ma v av fm av To la α -v Em fm ma v Iv α An inhomogeneous equation Ca differential equation D ( X ) = ... д х ... მა Ε Em = тв მა 4 Y CB ( D ) -- ΑπΥαβ ma fm αβ αν 24 + m2 55 / + { Ta 5v3 + ma 1 д m3 v4 av тв fo cm α ma m2 ...
... მა ma v av fm av To la α -v Em fm ma v Iv α An inhomogeneous equation Ca differential equation D ( X ) = ... д х ... მა Ε Em = тв მა 4 Y CB ( D ) -- ΑπΥαβ ma fm αβ αν 24 + m2 55 / + { Ta 5v3 + ma 1 д m3 v4 av тв fo cm α ma m2 ...
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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