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  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Continuum mechanics and thermodynamics 10 (1998), S. 153-178 
    ISSN: 1432-0959
    Schlagwort(e): AMS Subject classification:41A60, 35Q20, 76P05
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: The macroscopic dynamics of a kinetic equation involving a model wave-particle collision operator of plasma physics is investigated. The Chapman-Enskog asymptotics is first considered in the framework of a hydrodynamic scaling. The obtained macroscopic model still involves a kinetic variable, the particle energy in the rest frame of the fluid, but shares similarities with the compressible Navier-Stokes equation of gas dynamics. Then a diffusive scaling is examined under the hypothesis of small perturbations of a global equilibrium. In this case, the macroscopic model couples the usual incompressible Navier-Stokes with a diffusion equation for the energy distribution function of the particles, constrained by an extended version of the Boussinesq relation. In both cases, the effect of a Lorentz force term is developed, in the perspective of plasma physical modelling.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 84 (1996), S. 205-231 
    ISSN: 1572-9613
    Schlagwort(e): Semiconductors ; kinetic equations ; Boltzmann transport equation ; degenerate gases ; Fermi-Dirac statistics ; diffusion approximation ; drift-diffusion model ; energy transport ; hydrodynamic model ; Hilbert expansion ; Chapman-Enskog expansion
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract An energy-transport model is rigorously derived from the Boltzmann transport equation of semiconductors under the hypothesis that the energy gain or loss of the electrons by the phonon collisions is weak. Retaining at leading order electron-electron collisions and elastic collisions (i.e., impurity scattering and the “elastic part” of phonon collisions), a rigorous diffusion limit of the Boltzmann equation can be carried over, which leads to a set of diffusion equations for the electron density and temperature. The derivation is given in both the degenerate and nondegenerate cases.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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