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Title: Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks

Abstract

Particle trajectory surfaces in an ideal magnetohydrodynamic high energy particle resonance are studied using kinetic Poincaré plots and through a calculation by perturbing near the resonance and finding canonical variables in the resonance, allowing the study of the distortion of the structure from that of a simple pendulum and to assist in the construction of models for the modification of particle distributions due to the modes. As a result, it is found that the narrow structure of an ideal mode eigenfunction can lead to a significant decrease in the resonance width compared to a case in which the eigenfunction does not vary within the resonant island.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [2]
  1. Princeton Univ., Princeton, NJ (United States)
  2. Univ. of Texas, Austin, TX (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1480329
Grant/Contract Number:  
[AC02-09CH11466]
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
[ Journal Volume: 25; Journal Issue: 10]; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

White, R. B., Gorelenkov, N. N., Duarte, V. N., and Berk, H. L. Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks. United States: N. p., 2018. Web. doi:10.1063/1.5046655.
White, R. B., Gorelenkov, N. N., Duarte, V. N., & Berk, H. L. Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks. United States. doi:10.1063/1.5046655.
White, R. B., Gorelenkov, N. N., Duarte, V. N., and Berk, H. L. Wed . "Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks". United States. doi:10.1063/1.5046655. https://www.osti.gov/servlets/purl/1480329.
@article{osti_1480329,
title = {Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks},
author = {White, R. B. and Gorelenkov, N. N. and Duarte, V. N. and Berk, H. L.},
abstractNote = {Particle trajectory surfaces in an ideal magnetohydrodynamic high energy particle resonance are studied using kinetic Poincaré plots and through a calculation by perturbing near the resonance and finding canonical variables in the resonance, allowing the study of the distortion of the structure from that of a simple pendulum and to assist in the construction of models for the modification of particle distributions due to the modes. As a result, it is found that the narrow structure of an ideal mode eigenfunction can lead to a significant decrease in the resonance width compared to a case in which the eigenfunction does not vary within the resonant island.},
doi = {10.1063/1.5046655},
journal = {Physics of Plasmas},
number = [10],
volume = [25],
place = {United States},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
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Figures / Tables:

FIG. 1 FIG. 1: Kinetic Poincaré plots in normalized poloidal flux $ψ_p$ and in the canonical toroidal momentum $P_ζ$ for amplitude $A$ = 2 × 10−5, $m$ = 8, $l$ = 7, showing also the poloidal flux variation due to particle drift.

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Works referenced in this record:

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.