Modeling of CollisionsGauthier-Villars, 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 Caß = 0 , C1 = -YaẞM B ca - Yoana s { fo + ( up − u ) αβ 3 Cl = -Yong ! ав " − v = Va - u , afo მზ } ( 4-12 ) collision ...
... obtained by Galilean transformation . The terms of interest for the first order perturbation calculation are Caß = 0 , C1 = -YaẞM B ca - Yoana s { fo + ( up − u ) αβ 3 Cl = -Yong ! ав " − v = Va - u , afo მზ } ( 4-12 ) collision ...
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 dε , Ed , and 12 dƐ , 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 dε , Ed , and 12 dƐ , we obtain macroscopic conservation laws . Indeed , the collision ...
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appear approximation assumed atomic average Boltzmann Equation calculation chapter charge classical close collision frequencies collision terms collisional computed conservation consider correct Coulomb logarithms coupled defined density depend developed diffusion distribution function effect electrons energy equal equilibrium estimate existence expressions finally fluid flux formula frame given gives heat heavy hydrodynamic integrals interaction ion species ionic kinetic light limit linear mass Maxwellian mean mean velocity momentum multi-fluid neutral Note numerical obtained operator parameter particle particular perturbation perturbation equations Phys physics plasma pressure problem properties quantities quantum quantum mechanical reduced reference relations relative satisfies scalar single solution solved temperature tensor theory thermal transport coefficients transport equations vector αβ Μα