@InProceedings{karney79b,
  author =       {Charles F. F. Karney},
  title =        {Velocity-Space Diffusion in a Perpendicularly
                  Propagating Electrostatic Wave},
  booktitle =    {Intrinsic Stochasticity in Plasmas},
  pages =        {159-168},
  year =         1979,
  editor =       {G. Laval and D. Gr\'esillon},
  publisher =    {Editions de Physique Courtaboeuf, Orsay},
  reprint =      {isp79},
  note =         {Proc. International Workshop on Intrinsic
                  Stochasticity in Plasmas, Carg\`ese, Corsica, France,
                  June 17--23, 1979},
  eprint =       {physics/0501035},
  abstract =     {The motion of ions in the fields <b>B</b> =
                  <i>B</i><sub>0</sub><b>z</b> and <b>E</b> =
                  <i>E</i><sub>0</sub><b>y</b>
                  cos(<i>k</i><sub>&perp;</sub><i>y</i> &minus;
                  &omega;<i>t</i>&nbsp;) is considered.  When &omega;
                  &gt;&gt; &Omega;<sub><i>i</i></sub> and
                  <i>v</i><sub>&perp;</sub> &gt;
                  &omega;/<i>k</i><sub>&perp;</sub>, the equations of
                  motion may be reduced to a set of difference
                  equations.  These equations exhibit stochastic
                  behavior when <i>E</i><sub>0</sub> exceeds a
                  threshold.  The diffusion coefficient above the
                  threshold is determined.  Far above the threshold, ion
                  Landau damping is recovered.  Extension of the method
                  to include parallel propagation is outlined.}
}