A one‐dimensional model for lower‐hybrid current drive including perpendicular dynamics

The two‐dimensional (velocity space) Fokker–Planck equation for lower‐hybrid current drive is approximated by its perpendicular moments hierarchy closed in the second moment equation. The closure is derived on the basis of a distribution function composed of a central thermal Maxwellian plus a perpe...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1985-12, Vol.28 (12), p.3619-3628
Main Authors: Fuchs, V., Cairns, R. A., Shoucri, M. M., Hizanidis, K., Bers, A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Plasma production and heating
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Summary:The two‐dimensional (velocity space) Fokker–Planck equation for lower‐hybrid current drive is approximated by its perpendicular moments hierarchy closed in the second moment equation. The closure is derived on the basis of a distribution function composed of a central thermal Maxwellian plus a perpendicularly broadened distribution of fast particles that are diffused into, and pitch‐angle scattered out of, the quasilinear plateau region. The resulting one‐dimensional model reproduces the relevant features of the solutions obtained from numerically integrating the two‐dimensional Fokker–Planck equation. An analytic estimate of the perpendicular temperature on the plateau and the plateau height as a function of spectrum width and position is presented. Also predicted are the current density generated and its figure of merit (the current density per unit power density dissipated).
ISSN:0031-9171
2163-4998
DOI:10.1063/1.865318