Quasilinear diffusion coefficients in a finite Larmor radius expansion for ion cyclotron heated plasmas
Abstract
In this study, a reduced model of quasilinear velocity diffusion by a small Larmor radius approximation is derived to couple the Maxwell’s equations and the Fokker Planck equation self-consistently for the ion cyclotron range of frequency waves in a tokamak. The reduced model ensures the important properties of the full model by Kennel-Engelmann diffusion, such as diffusion directions, wave polarizations, and H-theorem. The kinetic energy change (Wdot ) is used to derive the reduced model diffusion coefficients for the fundamental damping (n = 1) and the second harmonic damping (n = 2) to the lowest order of the finite Larmor radius expansion. The quasilinear diffusion coefficients are implemented in a coupled code (TORIC-CQL3D) with the equivalent reduced model of the dielectric tensor. We also present the simulations of the ITER minority heating scenario, in which the reduced model is verified within the allowable errors from the full model results.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- XCEL Engineering, Oak Ridge, TN (United States)
- CompX, Del Mar, CA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1353216
- Alternate Identifier(s):
- OSTI ID: 1361850
- Grant/Contract Number:
- FC02-01ER54648; AC02-05CH11231; AC02-CH0911466
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 5; 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; RF heating; tokamak; kinetic theory; cyclotron damping
Citation Formats
Lee, Jungpyo, Wright, John, Bertelli, Nicola, Jaeger, Erwin F., Valeo, Ernest, Harvey, Robert, and Bonoli, Paul. Quasilinear diffusion coefficients in a finite Larmor radius expansion for ion cyclotron heated plasmas. United States: N. p., 2017.
Web. doi:10.1063/1.4982060.
Lee, Jungpyo, Wright, John, Bertelli, Nicola, Jaeger, Erwin F., Valeo, Ernest, Harvey, Robert, & Bonoli, Paul. Quasilinear diffusion coefficients in a finite Larmor radius expansion for ion cyclotron heated plasmas. United States. https://doi.org/10.1063/1.4982060
Lee, Jungpyo, Wright, John, Bertelli, Nicola, Jaeger, Erwin F., Valeo, Ernest, Harvey, Robert, and Bonoli, Paul. Mon .
"Quasilinear diffusion coefficients in a finite Larmor radius expansion for ion cyclotron heated plasmas". United States. https://doi.org/10.1063/1.4982060. https://www.osti.gov/servlets/purl/1353216.
@article{osti_1353216,
title = {Quasilinear diffusion coefficients in a finite Larmor radius expansion for ion cyclotron heated plasmas},
author = {Lee, Jungpyo and Wright, John and Bertelli, Nicola and Jaeger, Erwin F. and Valeo, Ernest and Harvey, Robert and Bonoli, Paul},
abstractNote = {In this study, a reduced model of quasilinear velocity diffusion by a small Larmor radius approximation is derived to couple the Maxwell’s equations and the Fokker Planck equation self-consistently for the ion cyclotron range of frequency waves in a tokamak. The reduced model ensures the important properties of the full model by Kennel-Engelmann diffusion, such as diffusion directions, wave polarizations, and H-theorem. The kinetic energy change (Wdot ) is used to derive the reduced model diffusion coefficients for the fundamental damping (n = 1) and the second harmonic damping (n = 2) to the lowest order of the finite Larmor radius expansion. The quasilinear diffusion coefficients are implemented in a coupled code (TORIC-CQL3D) with the equivalent reduced model of the dielectric tensor. We also present the simulations of the ITER minority heating scenario, in which the reduced model is verified within the allowable errors from the full model results.},
doi = {10.1063/1.4982060},
journal = {Physics of Plasmas},
number = 5,
volume = 24,
place = {United States},
year = {Mon Apr 24 00:00:00 EDT 2017},
month = {Mon Apr 24 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 1 work
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Observations of impurity toroidal rotation suppression with ITB formation in ICRF and ohmic H mode Alcator C-Mod plasmas
journal, March 2001
- Rice, J. E.; Boivin, R. L.; Bonoli, P. T.
- Nuclear Fusion, Vol. 41, Issue 3
Kinetic theory and simulation of multispecies plasmas in tokamaks excited with electromagnetic waves in the ion-cyclotron range of frequencies
journal, January 1985
- Kerbel, G. D.; McCoy, M. G.
- Physics of Fluids, Vol. 28, Issue 12
Effects of non-Maxwellian species on ion cyclotron waves propagation and absorption in magnetically confined plasmas
journal, April 2005
- Dumont, R. J.; Phillips, C. K.; Smithe, D. N.
- Physics of Plasmas, Vol. 12, Issue 4
Numerical simulation of ion cyclotron waves in tokamak plasmas
journal, January 1999
- Brambilla, M.
- Plasma Physics and Controlled Fusion, Vol. 41, Issue 1
Local full-wave energy and quasilinear analysis in nonuniform plasmas
journal, June 1989
- Smithe, D. N.
- Plasma Physics and Controlled Fusion, Vol. 31, Issue 7
On the local power dissipation of h.f. waves in hot inhomogeneous plasmas
journal, July 1988
- Brambilla, M.; Krucken, T.
- Plasma Physics and Controlled Fusion, Vol. 30, Issue 8
Analysis of a quasilinear model for ion cyclotron interactions in tokamaks
journal, June 2006
- Johnson, T.; Hellsten, T.; Eriksson, L. -G
- Nuclear Fusion, Vol. 46, Issue 7
Benchmarking ICRF full-wave solvers for ITER
journal, February 2012
- Budny, R. V.; Berry, L.; Bilato, R.
- Nuclear Fusion, Vol. 52, Issue 2
Global-wave solutions with self-consistent velocity distributions in ion cyclotron heated plasmas
journal, June 2006
- Jaeger, E. F.; Harvey, R. W.; Berry, L. A.
- Nuclear Fusion, Vol. 46, Issue 7
Plasma Dielectric Tensor for Non-Maxwellian Distributions in the FLR Limit
conference, January 2003
- Phillips, C. K.
- RADIO FREQUENCY POWER IN PLASMAS: 15th Topical Conference on Radio Frequency Power in Plasmas, AIP Conference Proceedings
Heating tokamaks via the ion-cyclotron and ion-ion hybrid resonances
journal, December 1977
- Perkins, F. W.
- Nuclear Fusion, Vol. 17, Issue 6
Controversies about quasi-linear theory
journal, January 1999
- Laval, Guy; Pesme, Denis
- Plasma Physics and Controlled Fusion, Vol. 41, Issue 3A
Full-wave simulations of ICRF heating regimes in toroidal plasma with non-Maxwellian distribution functions
journal, April 2017
- Bertelli, N.; Valeo, E. J.; Green, D. L.
- Nuclear Fusion, Vol. 57, Issue 5, Article No. 056035
Self-consistent full-wave and Fokker-Planck calculations for ion cyclotron heating in non-Maxwellian plasmas
journal, May 2006
- Jaeger, E. F.; Berry, L. A.; Ahern, S. D.
- Physics of Plasmas, Vol. 13, Issue 5
Variational approach to radiofrequency waves in magnetic fusion devices
journal, July 2009
- Dumont, R. J.
- Nuclear Fusion, Vol. 49, Issue 7
A quasilinear description for fast‐wave minority heating permitting off‐magnetic axis heating in a tokamak
journal, January 1992
- Catto, Peter J.; Myra, J. R.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 1
Application of ICRF waves in tokamaks beyond heating
journal, November 2003
- Mantsinen, M. J.; Eriksson, L-G; Gauthier, E.
- Plasma Physics and Controlled Fusion, Vol. 45, Issue 12A
Nonquasilinear diffusion far from the chaotic threshold
journal, December 1990
- Cary, John R.; Escande, D. F.; Verga, A. D.
- Physical Review Letters, Vol. 65, Issue 25
Challenges in Self-Consistent Full-Wave Simulations of Lower Hybrid Waves
journal, September 2010
- Wright, John C.; Lee, Jungpyo; Valeo, Ernest
- IEEE Transactions on Plasma Science, Vol. 38, Issue 9
Finite Larmor radius wave equations in Tokamak plasmas in the ion cyclotron frequency range
journal, May 1989
- Brambilla, M.
- Plasma Physics and Controlled Fusion, Vol. 31, Issue 5
Investigation of the validity of quasilinear theory for electron Landau damping in a tokamak using a broad-band wave effect
journal, January 2011
- Lee, Jungpyo; Bonoli, Paul; Wright, John
- Physics of Plasmas, Vol. 18, Issue 1
Velocity Space Diffusion from Weak Plasma Turbulence in a Magnetic Field
journal, January 1966
- Kennel, C. F.
- Physics of Fluids, Vol. 9, Issue 12
Advances in numerical simulations of ion cyclotron heating of non-Maxwellian plasmas
journal, July 2009
- Brambilla, M.; Bilato, R.
- Nuclear Fusion, Vol. 49, Issue 8
All-orders spectral calculation of radio-frequency heating in two-dimensional toroidal plasmas
journal, May 2001
- Jaeger, E. F.; Berry, L. A.; D’Azevedo, E.
- Physics of Plasmas, Vol. 8, Issue 5
Control of Neoclassical Tearing Modes by Sawtooth Control
journal, February 2002
- Sauter, O.; Westerhof, E.; Mayoral, M. L.
- Physical Review Letters, Vol. 88, Issue 10
A fully-neoclassical finite-orbit-width version of the CQL3D Fokker–Planck code
journal, September 2016
- Petrov, Yu V.; Harvey, R. W.
- Plasma Physics and Controlled Fusion, Vol. 58, Issue 11
On the radiofrequency response of tokamak plasmas
journal, September 1997
- Lamalle, P. U.
- Plasma Physics and Controlled Fusion, Vol. 39, Issue 9
Perpendicular momentum injection by lower hybrid wave in a tokamak
journal, November 2012
- Lee, Jungpyo; Parra, Felix I.; Parker, Ron R.
- Plasma Physics and Controlled Fusion, Vol. 54, Issue 12
Superconducting Magnetic Energy Storage and Other Large-Scale SDI Cryogenic Applications Programs
book, January 1990
- Verga, Richard L.
- Advances in Cryogenic Engineering
Works referencing / citing this record:
Integrated Tokamak modeling: When physics informs engineering and research planning
journal, May 2018
- Poli, Francesca Maria
- Physics of Plasmas, Vol. 25, Issue 5
Similarity of the coupled equations for RF waves in a tokamak
journal, January 2019
- Lee, Jungpyo; Smithe, David; Jaeger, Erwin F.
- Physics of Plasmas, Vol. 26, Issue 1