Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..58...21g&link_type=abstract
Astrophysics and Space Science, vol. 58, no. 1, Sept. 1978, p. 21-39.
Astronomy and Astrophysics
Astrophysics
17
Boltzmann Transport Equation, Cosmic Rays, Interplanetary Space, Solar System, Continuity Equation, Legendre Functions, Lorentz Transformations, Particle Collisions, Scattering Cross Sections, Solar Wind, Taylor Series
Scientific paper
More complete proofs are provided for the previously noted result that in the absence of Fermi acceleration the average time rate of change of cosmic-ray momentum for a fixed volume in a frame of reference fixed in the solar system is given by a certain expression. Earlier derivations of the cosmic-ray transport equation are reviewed, and the role of adiabatic deceleration in the derivations is examined. The expression for the mean time rate of change of momentum in the fixed frame is then derived in three ways: (1) by a rearrangement and reinterpretation of the transport equation; (2) from a consideration of the momentum changes arising from the scattering model of Gleeson and Axford (1967) with the use of their method of analysis; and (3) by considering cosmic-ray collisions with the walls of a collection of 'magnetic boxes' moving with the solar wind. An expression for the total rate of energy transfer from the solar wind to the cosmic rays per unit volume in the fixed frame is obtained from the momentum rate.
Gleeson Leo John
Webb Gary M.
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