A NEW COSMIC RAY TRANSPORT THEORY IN PARTIALLY TURBULENT SPACE PLASMAS: EXTENDING THE QUASILINEAR APPROACH

2011 ◽  
Vol 732 (2) ◽  
pp. 96 ◽  
Author(s):  
R. Schlickeiser
1968 ◽  
Vol 46 (10) ◽  
pp. S990-S993 ◽  
Author(s):  
Edmond C. Roelof

By quasi-linearization of the Liouville equation for a charged particle in an electromagnetic field combined with an ensemble average over field configurations, a transport equation is derived for the ensemble average particle distribution function. The resulting integrodifferential equation is rewritten in terms of a simpler characteristic function which, when found, gives the complete solution in terms of the particle orbits in the ensemble mean fields. With the appropriate approximations, the equation reduces to the Fokker–Planck form applied recently by Jokipii to galactic cosmic-ray modulation, and by the author to energetic solar-flare particle propagation. It is argued that the equation, although complicated, offers several advantages as a starting point for transport theory over the simpler, but less appropriate, Fokker–Planck and Boltzmann equations.


2021 ◽  
Vol 28 (8) ◽  
pp. 080601
Author(s):  
A. Marcowith ◽  
A. J. van Marle ◽  
I. Plotnikov

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