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Analytical forms of the first 14 moments of the cosmic ray Fokker–Planck equation

Part of: Focus on Plasma Astrophysics

Published online by Cambridge University Press:  15 November 2017

A. Shalchi Open the ORCID record for A. Shalchi [Opens in a new window]
A. Shalchi*
Affiliation:
Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
*
†Email address for correspondence: andreasm4@yahoo.com
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Abstract

The Fokker–Planck transport equation describing the motion of energetic particles through a plasma is explored analytically. The latter equation provides a pitch-angle and position-dependent distribution function of the charged particles. In the current paper the first 14 moments of this equation are computed exactly for an arbitrary initial pitch angle. Such analytical forms are required in nonlinear treatments of perpendicular transport and other scenarios in plasma physics and astrophysics.

Keywords

energetic particlesmagnetized plasmaturbulence
Type
Research Article
Information
Journal of Plasma Physics , Volume 83 , Issue 6 , December 2017 , 905830603
Copyright
© Cambridge University Press 2017 

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