Neoclassical transport of energetic minority tail ions generated by ioncyclotron resonance heating in tokamak geometry
Abstract
Neoclassical transport of energetic minority tail ions, which are generated by high powered electromagnetic waves of the Ion Cyclotron Range of Frequencies (ICRF) at the fundamental harmonic resonance, is studied analytically in tokamak geometry. The effect of Coulomb collisions on the tail ion transport is investigated in the present work. The total tail ion transport will be the sum of the present collisiondriven transport and the wavedriven transport, which is due to the ICRFwave scattering of the tail particles as reported in the literature. The transport coefficients have been calculated kinetically, and it is found that the large tail ion viscosity, driven by the localized ICRFheating and Coulomb slowingdown collisions, induces purely convective particle transport of the tail species, while the energy transport is both convective and diffusive. The rate of radial particle transport is shown to be usually small, but the rate of radial energy transport is larger and may not be negligible compared to the Coulomb slowingdown rate. 18 refs., 2 figs.
 Authors:
 (New York Univ., NY (USA). Courant Inst. of Mathematical Sciences)
 (Princeton Univ., NJ (USA). Plasma Physics Lab.)
 Publication Date:
 Research Org.:
 Princeton Univ., NJ (USA). Plasma Physics Lab.
 Sponsoring Org.:
 DOE/ER
 OSTI Identifier:
 5007006
 Report Number(s):
 PPPL2662
ON: DE90005803; TRN: 90004653
 DOE Contract Number:
 AC0276CH03073
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ICR HEATING; NEOCLASSICAL TRANSPORT THEORY; TOKAMAK DEVICES; ANGULAR MOMENTUM; COULOMB SCATTERING; DISTRIBUTION FUNCTIONS; ENERGY TRANSPORT; KINETIC EQUATIONS; MAGNETIC FIELDS; BASIC INTERACTIONS; CLOSED PLASMA DEVICES; ELASTIC SCATTERING; ELECTROMAGNETIC INTERACTIONS; EQUATIONS; FUNCTIONS; HEATING; HIGHFREQUENCY HEATING; INTERACTIONS; PLASMA HEATING; SCATTERING; THERMONUCLEAR DEVICES; TRANSPORT THEORY; 700101*  Fusion Energy Plasma Research Confinement, Heating, & Production; 700103  Fusion Energy Plasma Research Kinetics
Citation Formats
Chang, C.S., Hammett, G.W., and Goldston, R.J.. Neoclassical transport of energetic minority tail ions generated by ioncyclotron resonance heating in tokamak geometry. United States: N. p., 1990.
Web. doi:10.2172/5007006.
Chang, C.S., Hammett, G.W., & Goldston, R.J.. Neoclassical transport of energetic minority tail ions generated by ioncyclotron resonance heating in tokamak geometry. United States. doi:10.2172/5007006.
Chang, C.S., Hammett, G.W., and Goldston, R.J.. 1990.
"Neoclassical transport of energetic minority tail ions generated by ioncyclotron resonance heating in tokamak geometry". United States.
doi:10.2172/5007006. https://www.osti.gov/servlets/purl/5007006.
@article{osti_5007006,
title = {Neoclassical transport of energetic minority tail ions generated by ioncyclotron resonance heating in tokamak geometry},
author = {Chang, C.S. and Hammett, G.W. and Goldston, R.J.},
abstractNote = {Neoclassical transport of energetic minority tail ions, which are generated by high powered electromagnetic waves of the Ion Cyclotron Range of Frequencies (ICRF) at the fundamental harmonic resonance, is studied analytically in tokamak geometry. The effect of Coulomb collisions on the tail ion transport is investigated in the present work. The total tail ion transport will be the sum of the present collisiondriven transport and the wavedriven transport, which is due to the ICRFwave scattering of the tail particles as reported in the literature. The transport coefficients have been calculated kinetically, and it is found that the large tail ion viscosity, driven by the localized ICRFheating and Coulomb slowingdown collisions, induces purely convective particle transport of the tail species, while the energy transport is both convective and diffusive. The rate of radial particle transport is shown to be usually small, but the rate of radial energy transport is larger and may not be negligible compared to the Coulomb slowingdown rate. 18 refs., 2 figs.},
doi = {10.2172/5007006},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1990,
month = 1
}

Neoclassical transport of energetic minority tail ions, which are generated by highpowered electromagnetic waves of the ion cyclotron range of frequencies (ICRF) at the fundamental harmonic resonance, is studied analytically in tokamak geometry. The effect of Coulomb collisions on the tailion transport is investigated in the present work. The total tailion transport will be the sum of the present collisiondriven transport and the wavedriven transport, which is due to the ICRFwave scattering of the tail particles as reported in the literature. The transport coefficients have been calculated kinetically, and it is found that the large tailion viscosity, driven by themore »

Anisotropic distribution function of minority tail ions generated by strong ioncyclotron resonance heating
The highly anisotropic particle distribution function of minority tail ions driven by ioncyclotron resonance heating at the fundamental harmonic is calculated in a twodimensional velocity space. It is assumed that the heating is strong enough to drive most of the resonant ions above the inelectron critical slowingdown energy. Simple analytic expressions for the tail distribution are obtained fro the case when the Doppler effect is sufficiently large to flatten the sharp pitch angle dependence in the bounce averaged qualilinear heating coefficient, D/sub b/, and for the case when D/sub b/ is assumed to be constant in pitch angle and energy.more » 
Anisotropic distribution function of minority tail ions generated by strong ioncyclotron resonance heating
The highly anisotropic particle distribution function of minority tail ions driven by ioncyclotron resonance heating at the fundamental harmonic is calculated in a twodimensional velocity space. It is assumed that the heating is strong enough to drive most of the resonant ions above the ionelectron critical slowingdown energy. Simple analytic expressions for the tail distribution are obtained for the cases when the bounceaveraged quasilinear heating coefficient {ital D}{sub {ital b}} is assumed to be constant in pitch angle and energy, when the Doppler effect is sufficiently large to flatten the sharp pitch angle dependence in {ital D}{sub {ital b}} butmore » 
Radial diffusion of energetic tail ions driven by electromagnetic waves of ioncyclotron range of frequencies in bumpy torus and tokamak geometry
Radial particle and energy transport of the highenergy tail ions created by fundamental resonance heating of ioncyclotron range of frequency waves is studied for tokamak and bumpy torus geometry. The lowestorder distribution function for the highenergy ions is calculated in a twodimensional velocity space, and all the diffusion coefficients are explicitly evaluated. 
Relativistic effects on cyclotron wave absorption by an energetic electron tail in the PLT tokamak
Electron cyclotron wave absorption by mildly relativistic electrons in the low density regime of the PLT tokamak is investigated. Appreciable wave damping is found for vertical propagation at frequencies of 50, 60, and 70 GHz when the spatially constant cyclotron frequency is 89 GHz. The perpendicular temperature T/sub perpendicular/(v/sub parallel/) of the fast tail is also measured from emission of radiation in the same direction. The results obtained are in satisfactory agreement with the theory of wave emission and absorption.