Fokker-Planck and Quasilinear Codes

Abstract The interaction of radio-frequency waves with a plasma is described by a Fokker-Planck equation with an added quasilinear term. Methods for solving this equation on a computer are discussed.

[1]  B. Jones,et al.  Lecture notes in mathematics: rudiments of Riemann surfaces , 1971 .

[2]  G. Gerdin.  Reviews of Plasma Physics (Vol. 8) , 1982 .

[3]  L. Spitzer,et al.  TRANSPORT PHENOMENA IN A COMPLETELY IONIZED GAS , 1953 .

[4]  T. G. Cowling,et al.  The mathematical theory of non-uniform gases : notes added in 1951 , 1951 .

[5]  David C. Baxter,et al.  Relativistic theory of electron cyclotron resonance heating , 1981 .

[6]  J. S. Chang,et al.  A practical difference scheme for Fokker-Planck equations☆ , 1970 .

[7]  Charles F. F. Karney,et al.  Current generation with low-frequency waves , 1981 .

[8]  Computational models for wave-particle interactions , 1986 .

[9]  G. I. Budker,et al.  THE RELATIVISTIC KINETIC EQUATION , 1956 .

[10]  S. R. de Groot,et al.  Relativistic kinetic theory , 1974 .

[11]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[12]  Charles F. F. Karney,et al.  Efficiency of current drive by fast waves , 2005, physics/0501058.

[13]  R. A. Cairns,et al.  Effects of the relativistic correction to the resonance condition on electron cyclotron current drive , 1983 .

[14]  Nathaniel J. Fisch,et al.  Transport in driven plasmas , 1986 .

[15]  R. Harvey,et al.  Non-linear Fokker-Planck studies of RF current drive efficiency , 1981 .

[16]  S. P. Hirshman,et al.  Classical collisional theory of beam‐driven plasma currents , 1980 .

[17]  G. Kerbel,et al.  Kinetic theory and simulation of multispecies plasmas in tokamaks excited with electromagnetic waves in the ion-cyclotron range of frequencies , 1985 .

[18]  Charles F. F. Karney,et al.  Numerical studies of current generation by radio‐frequency traveling waves , 1979 .

[19]  R. Kulsrud,et al.  Runaway electrons in a plasma , 1973 .

[20]  Charles F. F. Karney,et al.  Currents driven by electron cyclotron waves , 1981 .

[21]  William M. MacDonald,et al.  Fokker-Planck Equation for an Inverse-Square Force , 1957 .

[22]  G. Marchuk.  Methods of Numerical Mathematics , 1982 .

[23]  N. Fisch.  Confining a Tokamak Plasma with rf-Driven Currents. , 1978 .

[24]  Thomas M. Antonsen,et al.  Radio frequency current generation by waves in toroidal geometry , 1982 .

[25]  D. Brandt,et al.  Multi-level adaptive solutions to boundary-value problems math comptr , 1977 .

[26]  M. Cox,et al.  Fokker-Planck calculations of rf heating in tokamaks , 1986 .

[27]  Charles F. F. Karney,et al.  Current in wave-driven plasmas , 1986 .

[28]  J. Gillis,et al.  Methods in Computational Physics , 1964 .

[29]  D. Mosher.  Interactions of relativistic electron beams with high atomic‐number plasmas , 1975 .

[30]  Charles F. Kennel,et al.  Velocity Space Diffusion from Weak Plasma Turbulence in a Magnetic Field , 1966 .