A simple model for perturbative kinetic particle resonances in tokamaks
Abstract
Resonances driven by particle distribution gradients are studied in a simple statistical model which does not involve advancing individual particles due to the interaction with the mode. The phasespace structure of resonances and the associated modification of density profiles in tokamaks are due to equilibration between the bounce averaging of particles within the resonance, which tends to locally flatten the distribution, particle collisions, which tend to reestablish the original density gradients, and wave background damping, which extracts energy from the mode. Modes are perturbatively driven while the distribution is irreversibly modified due to diffusion within the resonance, where local properties of the equilibrium and particle distribution are sufficient to determine the time evolution of a mode. As a result, simulations replicate the expected scaling with the collision frequency of mode saturation amplitudes and collisional broadening of the density modification and give reasonable agreement with saturation amplitudes given by full guiding center simulations.
 Authors:

 Princeton Univ., Princeton, NJ (United States). Princeton Plasma Physics Lab
 Publication Date:
 Research Org.:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1558789
 Grant/Contract Number:
 AC0209CH11466
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 26; Journal Issue: 4; Journal ID: ISSN 1070664X
 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., and Duarte, V. N. A simple model for perturbative kinetic particle resonances in tokamaks. United States: N. p., 2019.
Web. https://doi.org/10.1063/1.5092965.
White, R. B., & Duarte, V. N. A simple model for perturbative kinetic particle resonances in tokamaks. United States. https://doi.org/10.1063/1.5092965
White, R. B., and Duarte, V. N. Wed .
"A simple model for perturbative kinetic particle resonances in tokamaks". United States. https://doi.org/10.1063/1.5092965. https://www.osti.gov/servlets/purl/1558789.
@article{osti_1558789,
title = {A simple model for perturbative kinetic particle resonances in tokamaks},
author = {White, R. B. and Duarte, V. N.},
abstractNote = {Resonances driven by particle distribution gradients are studied in a simple statistical model which does not involve advancing individual particles due to the interaction with the mode. The phasespace structure of resonances and the associated modification of density profiles in tokamaks are due to equilibration between the bounce averaging of particles within the resonance, which tends to locally flatten the distribution, particle collisions, which tend to reestablish the original density gradients, and wave background damping, which extracts energy from the mode. Modes are perturbatively driven while the distribution is irreversibly modified due to diffusion within the resonance, where local properties of the equilibrium and particle distribution are sufficient to determine the time evolution of a mode. As a result, simulations replicate the expected scaling with the collision frequency of mode saturation amplitudes and collisional broadening of the density modification and give reasonable agreement with saturation amplitudes given by full guiding center simulations.},
doi = {10.1063/1.5092965},
journal = {Physics of Plasmas},
number = 4,
volume = 26,
place = {United States},
year = {2019},
month = {4}
}
Web of Science
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