@Article{karney79d,
  author =       {Charles F. F. Karney and Nathaniel J. Fisch},
  title =        {Numerical Studies of Current Generation by
                  Radio-Frequency Traveling Waves},
  journal =      {Phys. Fluids},
  volume =       22,
  number =       9,
  pages =        {1817-1824},
  month =        sep,
  year =         1979,
  reprint =      {pf79c},
  preprint =     {Princeton Univ. Rept. \eref{PPPL-1506}{PPPL--1506}
                  (Jan. 1979) 39 pp.},
  doi =          {10.1063/1.862787},
  abstract =     {By injecting radio-frequency traveling waves into a
                  tokamak, continuous toroidal electron currents may be
                  generated.  This process is studied by numerically
                  solving the two-dimensional Fokker-Planck equation
                  with an added quasi-linear term.  The results are
                  compared with the one-dimensional analytic treatment
                  of Fisch, which predicted a reduced plasma resistivity
                  when high-phase-velocity waves are employed.  It is
                  shown that two-dimensional velocity space effects,
                  while retaining the predicted scaling, further reduce
                  the ratio of power dissipated to current generated by
                  about 40\%.  These effects enhance the attractiveness
                  of steady-state tokamak reactors utilizing this method
                  of current generation.}
}