Charles Karney: Publication 16/85, Karney(1979b)

C. F. F. Karney.
Velocity-space diffusion in a perpendicularly propagating electrostatic wave.
In G. Laval and D. Grésillon, editors, Intrinsic Stochasticity in Plasmas, pages 159–168, Editions de Physique Courtaboeuf, Orsay, 1979.
E-print: arXiv:physics/0501035 (Mirror).
Proc. International Workshop on Intrinsic Stochasticity in Plasmas, Cargèse, Corsica, France, June 17–23, 1979.
Reprint: isp79
BibTeX Entry

The motion of ions in the fields B = B₀z and E = E₀y cos(k_⊥y − ωt ) is considered. When ω >> Ω_i and v_⊥ > ω/k_⊥, the equations of motion may be reduced to a set of difference equations. These equations exhibit stochastic behavior when E₀ 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.