@Article{karney77c,
  author =       {Charles F. F. Karney and Abraham Bers},
  title =        {Stochastic Ion Heating by a Perpendicularly
                  Propagating Electrostatic Wave},
  journal =      {Phys. Rev. Lett.},
  volume =       39,
  number =       9,
  pages =        {550-554},
  month =        aug,
  day =          29,
  year =         1977,
  reprint =      {prl77},
  note =         {Reprinted in {\em Stochastic Behavior in Classical and
                  Quantum Hamiltonian Systems}, edited by G. Casati and
                  J. Ford, volume 93 of {\em Lecture Notes in Physics}
                  (Springer-Verlag, Berlin, 1979), \eref{volta77}{pages
                  44--50}, Proc. Volta Memorial Conf., Como, Italy, June
                  20--24, 1977},
  preprint =     {M.I.T. Rept. \eref{PRR-76-35-1}{RLE PRR 76/35}
                  (Nov. 1976) 12 pp.},
  doi =          {10.1103/PhysRevLett.39.550},
  abstract =     {The motion of an ion in the presence of a constant
                  magnetic field and a perpendicularly propagating
                  electrostatic wave with frequency several times the
                  ion cyclotron frequency is shown to become stochastic
                  for fields satisfying <i>E</i>/<i>B</i><sub>0</sub>
                  &gt;
                  &frac14;(&Omega;/&omega;)<sup>1/3</sup>(&omega;/<i>k</i>).
                  This stochasticity condition is independent of how
                  close &omega; is to a cyclotron harmonic.
                  Applications of current interest in supplementary
                  heating of plasmas with rf power near the lower-hybrid
                  frequency are suggested.<p>An earlier version of this
                  work was published with the same title as
                  M.I.T. Rept. <a href="../papers/PRR-76-24.pdf">RLE PRR
                  76/24</a> (July 1976).}
}