Stochastic Ion Heating by a Lower Hybrid Wave: II

Details Stochastic Ion Heating by a Lower Hybrid Wave: II Stochastic Ion Heating by a Lower Hybrid Wave: II

2005-01-07

arxiv.org/abs/physics/0501034v1

Phys. Fluids 22(11), 2188-2209 (Nov. 1979)

Physics

Plasma Physics

Plain TeX, 48 pages, 18 figures

Scientific paper

10.1063/1.862512

The motion of an ion in a coherent lower hybrid wave (characterized by |k_parallel| << |k_perp| and omega >> Omega_i) in a tokamak plasma is studied. For ions satisfying v_perp > omega/k_perp, the Lorentz force law for the ions is reduced to a set of difference equations which give the Larmor radius and phase of an ion on one cyclotron orbit in terms of these quantities a cyclotron period earlier. From these difference equations an earlier result [Phys. Fluids 21, 1584 (1978)] that above a certain wave amplitude the ion motion is stochastic, is readily obtained. The stochasticity threshold is given a simple physical interpretation. In addition, the difference equations are used to derive a diffusion equation governing the heating of the ions above the stochasticity threshold. By including the effects of collisions, the heating rate for the bulk ions is obtained.

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