Abstract
view Abstract Citations (64) References (50) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Diffusion Approximation and Transport Theory for Cosmic Rays in Relativistic Flows Webb, G. M. Abstract 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. Publication: The Astrophysical Journal Pub Date: May 1989 DOI: 10.1086/167462 Bibcode: 1989ApJ...340.1112W Keywords: Cosmic Rays; Relativistic Effects; Transport Theory; Boltzmann Transport Equation; Continuity Equation; Magnetohydrodynamics; Perturbation Theory; Astrophysics; COSMIC RAYS: GENERAL; HYDRODYNAMICS; PARTICLE ACCELERATION full text sources ADS |
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