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Title:
The generalized diffusion-convection equation
Authors:
Jones, Frank C.
Affiliation:
AA(NASA, Goddard Space Flight Center, Greenbelt, MD)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 361, Sept. 20, 1990, p. 162-172. (ApJ Homepage)
Publication Date:
09/1990
Category:
Plasma Physics
Origin:
STI
NASA/STI Keywords:
Cosmic Plasma, Magnetohydrodynamic Turbulence, Molecular Collisions, Particle Diffusion, Transport Theory, Boltzmann Transport Equation, Convective Flow, Diffusion Theory, Flow Velocity
DOI:
10.1086/169179
Bibliographic Code:
1990ApJ...361..162J

Abstract

Starting from the Boltzmann equation, a transport equation is derived for energetic particles in a moving magnetized plasma in which the scattering centers that keep the particles quasi-isotropic are moving with a velocity that is not necessarily the same as that of the plasma. The scattering is characterized by three very loose constraints: (1) there is a rest frame for each scatterer in which the particles scatter elastically; (2) in this frame the scattering will not disturb an isotropic distribution; and (3) the momentum transfer in an average collision may be described by a tensor operating on the particles original momentum. Since the strength of the scattering is not specified, the derivation should be as valid for plasma microturbulence as for hard-sphere scattering. The results show clearly which phenomena are responsible for tying the particles to the plasma in the transport equation.

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