Modeling of CollisionsEditions Scientifiques et Medicales Elsevier, 1998 - 222 من الصفحات |
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الصفحة 3
... obtained through a perturbation calculation of kinetic equations around local thermodynamical equilibrium . This calculation of transport equations is now classical for a plasma with one kind of ions only . It is extended here to the ...
... obtained through a perturbation calculation of kinetic equations around local thermodynamical equilibrium . This calculation of transport equations is now classical for a plasma with one kind of ions only . It is extended here to the ...
الصفحة 53
... obtained by Galilean transformation . The terms of interest for the first order perturbation calculation are 1 a fo C。, = 0 , C¦ ̧ = −Yoang ' } { f ' + ( us - u ) 16 } , αβ collision integrals C2 = -Yang 3 Απ Yaßmang 3 αν , v = | va ...
... obtained by Galilean transformation . The terms of interest for the first order perturbation calculation are 1 a fo C。, = 0 , C¦ ̧ = −Yoang ' } { f ' + ( us - u ) 16 } , αβ collision integrals C2 = -Yang 3 Απ Yaßmang 3 αν , v = | va ...
الصفحة 145
... obtain ( iii ) as a consequence of Lemma 12.1 ( v ) . We can now go back to the full Boltzmann Equation and , integrating it against the measures de , Ed , and 12 de , we obtain macroscopic conservation laws . Indeed , the collision ...
... obtain ( iii ) as a consequence of Lemma 12.1 ( v ) . We can now go back to the full Boltzmann Equation and , integrating it against the measures de , Ed , and 12 de , we obtain macroscopic conservation laws . Indeed , the collision ...
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atomic species average ion Boltzmann Equation Braginskii charge collision frequencies collision integrals collisional conservation equations Coulomb logarithms defined density different masses diffusion distribution function electric field electron-ion energy equation equal mass ions equation set equations 1-2 equilibrium fluid equations Fokker-Planck Galilean invariance gradient heat flux heavy ions hydrodynamics interaction interdiffusion ion species ionic Landau's Lemma limit linear magnetic field Maxwellian distributions Maxwellian estimate mean free paths mean velocity momentum and energy multi-fluid equations neutral plasma Ohm's law Onsager symmetry perturbation calculation perturbation equations Phys plasma oscillations plasma physics quantum Raß relative velocities scalar second order solution temperature equalization tensor thermal transport coefficients transport equations U₂ uncoupling vector viscosity Yaß αα αβ βα Μα тв ть მა