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Title:
The diffusive idealization of charged-particle transport in random magnetic fields
Authors:
Earl, J. A.
Affiliation:
AA(Maryland, University, College Park, Md.)
Publication:
Astrophysical Journal, vol. 193, Oct. 1, 1974, pt. 1, p. 231-242. (ApJ Homepage)
Publication Date:
10/1974
Category:
Space Radiation
Origin:
STI
NASA/STI Keywords:
Charged Particles, Cosmic Rays, Magnetic Effects, Particle Diffusion, Diffusion Coefficient, Ficks Equation, Interstellar Magnetic Fields, Magnetohydrodynamics, Pitch (Inclination), Propagation Modes, Transport Properties, Uniqueness Theorem
DOI:
10.1086/153152
Bibliographic Code:
1974ApJ...193..231E

Abstract

The uniqueness and accuracy of the equations which describe the transport of charged particles diffusing in a random magnetic field parallel to a relatively large guiding field is examined. With regard to uniqueness, it is found that the same coefficient of diffusion is obtained by three methods that have apparently led to discrepancies in previous work. With regard to accuracy, it is found that two corrections must be added to Fick's law in which the diffusive flux is proportional to the gradient of the density. Explicit expressions are given for a characteristic time and a characteristic length which describe the corrections.

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