On the macroscopic dynamics induced by a model wave-particle collision operator View Full Text


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Article Info

DATE

1998-06

AUTHORS

P. Degond, José L. López, P.F. Peyrard

ABSTRACT

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. More... »

PAGES

153-178

References to SciGraph publications

  • 1958. Principles of the Kinetic Theory of Gases in THERMODYNAMIK DER GASE / THERMODYNAMICS OF GASES
  • 1993-04. A BGK model for small Prandtl number in the Navier-Stokes approximation in JOURNAL OF STATISTICAL PHYSICS
  • 1912-12. Begründung der kinetischen Gastheorie in MATHEMATISCHE ANNALEN
  • 1991-04. Fluid dynamic limits of kinetic equations. I. Formal derivations in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s001610050087

    DOI

    http://dx.doi.org/10.1007/s001610050087

    DIMENSIONS

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