DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 phase-space 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 re-establish 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:
ORCiD logo [1]; ORCiD logo [1]
  1. 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:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 4; 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., and Duarte, V. N. A simple model for perturbative kinetic particle resonances in tokamaks. United States: N. p., 2019. Web. doi: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 phase-space 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 re-establish 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 = {Wed Apr 24 00:00:00 EDT 2019},
month = {Wed Apr 24 00:00:00 EDT 2019}
}

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

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A universal instability of many-dimensional oscillator systems
journal, May 1979


Stability of Plasma
journal, February 1961


Modification of particle distributions by magnetohydrodynamic instabilities II
journal, June 2011


Physics of Alfvén waves and energetic particles in burning plasmas
journal, March 2016


Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks
journal, October 2018

  • White, R. B.; Gorelenkov, N. N.; Duarte, V. N.
  • Physics of Plasmas, Vol. 25, Issue 10
  • DOI: 10.1063/1.5046655

Excitation of Alfvén Waves by High-Energy Ions in a Tokamak
journal, June 1975


Collisional dependence of Alfvén mode saturation in tokamaks
journal, October 2016


Collisional enhancement of energetic particle Alfvénic resonance width in tokamaks
journal, March 2019

  • White, R. B.; Duarte, V. N.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5088598

Modification of particle distributions by MHD instabilities I
journal, May 2012


Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section
journal, January 1984

  • White, R. B.; Chance, M. S.
  • Physics of Fluids, Vol. 27, Issue 10
  • DOI: 10.1063/1.864527

Excitation of the toroidicity‐induced shear Alfvén eigenmode by fusion alpha particles in an ignited tokamak
journal, October 1989

  • Fu, G. Y.; Van Dam, J. W.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 10
  • DOI: 10.1063/1.859057

The HAGIS self-consistent nonlinear wave-particle interaction model
journal, June 1998


Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas
journal, May 2008


Saturation of alpha particle driven instability in Tokamak Fusion Test Reactor
journal, February 1999

  • Gorelenkov, N. N.; Chen, Y.; White, R. B.
  • Physics of Plasmas, Vol. 6, Issue 2
  • DOI: 10.1063/1.873216

Chapter 5: Physics of energetic ions
journal, June 2007


Theory and observation of the onset of nonlinear structures due to eigenmode destabilization by fast ions in tokamaks
journal, December 2017

  • Duarte, V. N.; Berk, H. L.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 24, Issue 12
  • DOI: 10.1063/1.5007811

Introduction to the interaction between energetic particles and Alfven eigenmodes in toroidal plasmas
journal, December 2018


Analytical nonlinear collisional dynamics of near-threshold eigenmodes
journal, February 2019


Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode
journal, June 2018


Energetic particle physics in fusion research in preparation for burning plasma experiments
journal, November 2014