Charles Karney: Publication 7/85, Karney(1977c)

C. F. F. Karney and A. Bers.
Stochastic ion heating by a perpendicularly propagating electrostatic wave.
Phys. Rev. Lett., 39(9):550–554, August 1977.
M.I.T. Rept. RLE PRR 76/35 (Nov. 1976) 12 pp.
Reprinted in Stochastic Behavior in Classical and Quantum Hamiltonian Systems, edited by G. Casati and J. Ford, volume 93 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1979), pages 44–50, Proc. Volta Memorial Conf., Como, Italy, June 20–24, 1977.
Reprint: prl77
DOI: 10.1103/PhysRevLett.39.550
BibTeX Entry

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 E/B₀ > ¼(Ω/ω)^1/3(ω/k). This stochasticity condition is independent of how close ω is to a cyclotron harmonic. Applications of current interest in supplementary heating of plasmas with rf power near the lower-hybrid frequency are suggested.

An earlier version of this work was published with the same title as M.I.T. Rept. RLE PRR 76/24 (July 1976).