Modeling of Collisions |
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الصفحة 15
1.4 Hydrodynamical limit In the multi - fluid description , each ion species has its own mean velocity . ... For a plasma with one type of ions , the neutral plasma fluid equations are already at the hydrodynamic level .
1.4 Hydrodynamical limit In the multi - fluid description , each ion species has its own mean velocity . ... For a plasma with one type of ions , the neutral plasma fluid equations are already at the hydrodynamic level .
الصفحة 179
These models originate from small mean free path limits of isentropic hydro- dynamic equations [ 21 ] and allow for the ... then extended drift - diffusion models have to be abandoned and ' full ' hydrodynamic models have to be used .
These models originate from small mean free path limits of isentropic hydro- dynamic equations [ 21 ] and allow for the ... then extended drift - diffusion models have to be abandoned and ' full ' hydrodynamic models have to be used .
الصفحة 221
... 181 polyatomic , 160 , 169 pressure , 8 , 183 propagation of chaos , 156 pseudo - differential operator , 186 QHD = quantum hydrodynamic model quantum heat flow tensor , 180 , 183 semiclassical limit , 209 semiconductor , 179 shock ...
... 181 polyatomic , 160 , 169 pressure , 8 , 183 propagation of chaos , 156 pseudo - differential operator , 186 QHD = quantum hydrodynamic model quantum heat flow tensor , 180 , 183 semiclassical limit , 209 semiconductor , 179 shock ...
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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