Expansion of the relativistic Fokker-Planck equation including non-linear terms and a non-Maxwellian background
- Centre Canadien de Fusion Magnetique, Varennes, Quebec, J3X1S1 (CANADA)
The relativistic Fokker-Planck collision term in Braams and Karney [Phys. Fluids B {bold 1}, 1355 (1989)] is expanded using Cartesian tensors (equivalent to associated Legendre spherical harmonics) retaining all non-linear terms and an arbitrary zeroth order distribution background. Expressions are given for collision terms between all harmonics and the background distribution in terms of the j and y functions in Braams and Karney. The results reduce to Braams and Karney for the first order harmonic term with a Maxwellian background and to those given by Shkarofsky [Can. J. Phys. {bold 41}, 1753 (1963)] in the non-relativistic limit. Expressions for the energy and momentum transfer associated with relativistic Coulomb collisions are given. The fast two dimensional Fokker-Planck solver in Shoucri and Shkarofsky [Comput. Phys. Commun. {bold 82}, 287 (1994)] has been extended to include the second order harmonic term. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 530112
- Journal Information:
- Physics of Plasmas, Vol. 4, Issue 7; Other Information: PBD: Jul 1997
- Country of Publication:
- United States
- Language:
- English
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