Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 40
... relation ( eu ∞ ET ) confirms what has been seen before in ( 3-8 ) . The two other relations introduce new " small parameters " Єc and ep which , like ET and ev , are ratios of a mean free path over a gradient length . Since these ...
... relation ( eu ∞ ET ) confirms what has been seen before in ( 3-8 ) . The two other relations introduce new " small parameters " Єc and ep which , like ET and ev , are ratios of a mean free path over a gradient length . Since these ...
الصفحة 141
... relations . ' = - - § − ( § — § . ) · ww , { ' = { * + ( § − { x ) · w w . - ( 12.4 ) Here and below . we always denote ab the scalar product of two vectors a and b . One can readily check that the above relations satisfy the ...
... relations . ' = - - § − ( § — § . ) · ww , { ' = { * + ( § − { x ) · w w . - ( 12.4 ) Here and below . we always denote ab the scalar product of two vectors a and b . One can readily check that the above relations satisfy the ...
الصفحة 161
... relations hold for the quantities in the moments equations ( 12.18 ) : ρε π pT 2 PI ( 1 + 1 ) p = pT , which yield the value of y in ( 14.4 ) for the perfect gas law ( 14.1 ) . Let us now describe the microscopic collision process . Two ...
... relations hold for the quantities in the moments equations ( 12.18 ) : ρε π pT 2 PI ( 1 + 1 ) p = pT , which yield the value of y in ( 14.4 ) for the perfect gas law ( 14.1 ) . Let us now describe the microscopic collision process . Two ...
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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