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 1 Caß = 0 , C1 = −Yaßnç — få + ( u3 − u ) αβ 3 Caß == αβ -Yang collision integrals , v = | va - u , afо θυ " ( 4-12 ) — Roß ...
... obtained by Galilean transformation . The terms of interest for the first order perturbation calculation are 1 Caß = 0 , C1 = −Yaßnç — få + ( u3 − u ) αβ 3 Caß == αβ -Yang collision integrals , v = | va - u , afо θυ " ( 4-12 ) — Roß ...
الصفحة 145
... obtain ( i ) . The inequality ( ii ) is a special case of ( i ) ; choosing = ln f , we find Rd ↓ Q ( s ) in ƒ de ... obtain ( iii ) as a consequence of Lemma 12.1 ( v ) . We can now go back to the full Boltzmann Equation and ...
... obtain ( i ) . The inequality ( ii ) is a special case of ( i ) ; choosing = ln f , we find Rd ↓ Q ( s ) in ƒ de ... obtain ( iii ) as a consequence of Lemma 12.1 ( v ) . We can now go back to the full Boltzmann Equation and ...
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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