dorsal/arxiv
View SchemaStochastic Ion Heating by a Lower Hybrid Wave: II
| Authors | Charles F. F. Karney |
|---|---|
| Categories | |
| ArXiv ID | physics/0501034 |
| URL | https://arxiv.org/abs/physics/0501034 |
| DOI | 10.1063/1.862512 |
| Journal | Phys. Fluids 22(11), 2188-2209 (Nov. 1979) |
Abstract
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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"abstract": "The motion of an ion in a coherent lower hybrid wave (characterized by\n|k_parallel| \u003c\u003c |k_perp| and omega \u003e\u003e Omega_i) in a tokamak plasma is studied.\nFor ions satisfying v_perp \u003e omega/k_perp, the Lorentz force law for the ions\nis reduced to a set of difference equations which give the Larmor radius and\nphase of an ion on one cyclotron orbit in terms of these quantities a cyclotron\nperiod earlier. From these difference equations an earlier result [Phys. Fluids\n21, 1584 (1978)] that above a certain wave amplitude the ion motion is\nstochastic, is readily obtained. The stochasticity threshold is given a simple\nphysical interpretation. In addition, the difference equations are used to\nderive a diffusion equation governing the heating of the ions above the\nstochasticity threshold. By including the effects of collisions, the heating\nrate for the bulk ions is obtained.",
"arxiv_id": "physics/0501034",
"authors": [
"Charles F. F. Karney"
],
"categories": [
"physics.plasm-ph",
"nlin.CD"
],
"doi": "10.1063/1.862512",
"journal_ref": "Phys. Fluids 22(11), 2188-2209 (Nov. 1979)",
"title": "Stochastic Ion Heating by a Lower Hybrid Wave: II",
"url": "https://arxiv.org/abs/physics/0501034"
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