Modeling of Collisions

appear approximation assumed atomic average Boltzmann Equation calculation chapter charge classical close collision frequencies collision terms collisional computed conservation consider correct corresponding Coulomb logarithms coupled defined density depend diffusion distribution function effect electrons energy equal equilibrium existence expressions finally fluid flux formula frame given gives heat heavy hydrodynamic initial integrals interaction ion species ionic kinetic light limit linear mass Maxwellian mean mean velocity minimizer 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