Approximate FokkerPlanck operators for Coulomb collisions
Abstract
Analytically tractable approximations are developed for C sub ee (or C sub ii) and C sub ie, where C sub ab is the operator for collisions of species a on b. Whereas the pitch angle derivatives delta/delta theta contained in these operators are kept rigorously, a global method of describing the effect of velocity derivatives delta/delta v in algebraic terms is developed. The resultant form for C sub ie when generalized to the case of heavy ions colliding with light ions enables the analytic solution of the multiion species transport problem. The result for C sub ee (or C sub ii) agrees with a previously given heuristic derivation. These operators obey the conservation laws. Their use is restricted to kinetic equations of the generalized SpitzerHaerm type. The neoclassical transport problem for plasmas in toroidal magnetic confinement in the long mean free path ('banana') regime is included.
 Publication:

Unknown
 Pub Date:
 June 1974
 Bibcode:
 1974afpo.rept.....S
 Keywords:

 Coulomb Collisions;
 FokkerPlanck Equation;
 Electron Distribution;
 Particle Collisions;
 Transport Theory;
 SolidState Physics