Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 33
... Raß = −R3α = −4π Z2 Ze1ln ^ ß - ma - | va – up | 3fad3va and Qa3 + ( Ua − uß ) · Raß = Qßα = 0 . ( 2-14 ) Collisions Cas of lights on heavies , as well as the collision integrals , don't depend on the details of the heavies ...
... Raß = −R3α = −4π Z2 Ze1ln ^ ß - ma - | va – up | 3fad3va and Qa3 + ( Ua − uß ) · Raß = Qßα = 0 . ( 2-14 ) Collisions Cas of lights on heavies , as well as the collision integrals , don't depend on the details of the heavies ...
الصفحة 35
... Raß ( Va - ua ) ƒM Moto ( R ) пата 1 2Ta α · ( VTa ) · ( Va ma ( vua ) : ( Và Τα - - ua { Μα - ma ( va – Ua ) 2 Τα M M 5 α 1 - ua ) – ¦ ( v . – U. ) 3Ï } ƒ1⁄4 M ( 3-6 ) -- M M α JB B Collision integrals Raß and Qas written here are ...
... Raß ( Va - ua ) ƒM Moto ( R ) пата 1 2Ta α · ( VTa ) · ( Va ma ( vua ) : ( Và Τα - - ua { Μα - ma ( va – Ua ) 2 Τα M M 5 α 1 - ua ) – ¦ ( v . – U. ) 3Ï } ƒ1⁄4 M ( 3-6 ) -- M M α JB B Collision integrals Raß and Qas written here are ...
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 ) ...
... 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 ) ...
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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