Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 36
... Onsager symmetry The collision term of a particle species with itself ( self - collisions ) , linearized around Maxwellian equilibrium , verifies the Onsager symmetry property ( L. Onsager ( 1931 ) ; [ 24 ] , §9 ) . If the bilinear form ...
... Onsager symmetry The collision term of a particle species with itself ( self - collisions ) , linearized around Maxwellian equilibrium , verifies the Onsager symmetry property ( L. Onsager ( 1931 ) ; [ 24 ] , §9 ) . If the bilinear form ...
الصفحة 57
... Onsager symmetry dv v fm บ The Onsager symmetry and negativity of section 3.2 yield separate properties for scalar , vector , and tensor collision terms linearized around two Maxwellians for and fm with the same temperature T = Tα = Tß ...
... Onsager symmetry dv v fm บ The Onsager symmetry and negativity of section 3.2 yield separate properties for scalar , vector , and tensor collision terms linearized around two Maxwellians for and fm with the same temperature T = Tα = Tß ...
الصفحة 58
... Onsager symmetry property Jo's + Jo's = Joo ' + Job ' Moreover , the vector self - collision term ( 4-23 ) gives αβ βα αβ βα can be checked . αα α Χα Jó ! = - Yo . [ ® VET { I 5 ( 1X2 ) . ( 2X ) + — Xxx . dv . vEm fm Μα dv fm α with the ...
... Onsager symmetry property Jo's + Jo's = Joo ' + Job ' Moreover , the vector self - collision term ( 4-23 ) gives αβ βα αβ βα can be checked . αα α Χα Jó ! = - Yo . [ ® VET { I 5 ( 1X2 ) . ( 2X ) + — Xxx . dv . vEm fm Μα dv fm α with the ...
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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