Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...340.1112w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 340, May 15, 1989, p. 1112-1123.
Astronomy and Astrophysics
Astrophysics
27
Cosmic Rays, Relativistic Effects, Transport Theory, Boltzmann Transport Equation, Continuity Equation, Magnetohydrodynamics, Perturbation Theory
Scientific paper
Equations describing the transport of cosmic rays in relativistic flows in the diffusion approximation are obtained. The analysis is based on the zeroth, first, and second differential moment equations of the relativistic Boltzmann equation with a BGK collision term. A perturbation solution of the moment equations in the diffusion approximation yields both the co-moving frame particle current and viscous stresses. The resultant cosmic-ray continuity equation contains three readily recognized energy change terms: the adiabatic energy change term; the viscous shear energy change term; and a term proportional to the scalar product of the acceleration vector of the scattering frame and the heat flux.
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