Stochastic Ion Heating by a Lower Hybrid Wave: II
摘要
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.
引用
@article{arxiv.physics/0501034,
title = {Stochastic Ion Heating by a Lower Hybrid Wave: II},
author = {Charles F. F. Karney},
journal= {arXiv preprint arXiv:physics/0501034},
year = {2007}
}
备注
Plain TeX, 48 pages, 18 figures