Killeen J., Kerbel G.D., McCoy M.G., Mirin A.A. Computational methods for kinetic models of magnetically confined plasmas

Springer-Verlag, Berlin Heidelberg, 1986. – 207 pp. (Springer Series in Computational Physics).
Because magnetically confined plasmas are generally not found in a state of thermodynamic equilibrium, they have been studied extensively with methods of applied kinetic theory. In closed magnetic field line confinement devices such as the tokamak, non-Maxwellian distortions usually occur as a result of auxiliary heating and transport. Ultimately, the problem is to solve a nonlinear partial differential equation for the distribution function of each charged plasma species in terms of six phase space variables and time. The dimensionality of the problem may be reduced through imposing certain symmetry conditions. This book describes a number of state-of-the-art Fokker-Planck computational models developed over the past decade, including (i) an optimized uniform-field package easily adapted to a wide variety of problems; (ii) a bounce-averaged model, featuring a quasilinear RF operator, which is applicable to heating and current drive in tokamaks at either the electron cyclotron, ion cyclotron, or lower hybrid frequency; and (iii) a radial Fokker-Planck transport code applicable to tokamaks with intense neutral beam heating.Fokker-Planck Models of Multispecies Plasmas in Uniform Magnetic Fields.
Collisional Kinetic Models of Multispecies Plasmas in Nonuniform Magnetic Fields.
A Fokker-Planck/Transport Model for Neutral Beam-Driven Tokamaks.