Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation
Abstract
The characteristic profile and magnitude are predicted in theory for the neoclassical toroidal viscosity (NTV) torque induced by the plasma response to the resonant magnetic perturbation (RMP) in a tokamak with an edge pedestal. For a low-β equilibrium, the NTV torque is dominated by the toroidal component with the same dominant toroidal mode number of RMPs. The NTV torque profile is found to be localized, whose peak location is determined by profiles of both the equilibrium temperature (pressure) and the plasma response. In general, the peak of the NTV torque profile is found to track the pedestal position. The magnitude of NTV torque strongly depends on the β value at the top of pedestal, which suggests a more significant role of NTV torque in higher plasma β regimes. For a fixed plasma β, decreasing density hence increasing temperature can also enhance the amplitude of NTV torque due to the reduced collisionality in the 1/v regime. Based on those findings, our study identifies the tokamak operation regimes where the significance of NTV torque in the edge pedestal induced by RMP can approach those from other momentum sources such as the neutral beam injections.
- Authors:
-
- Univ. of Science and Technology of China, Hefei, Anhui (China). CAS Key Lab. of Geospace Environment and Dept. of Modern Physics
- Univ. of Science and Technology of China, Hefei, Anhui (China). CAS Key Lab. of Geospace Environment and Dept. of Modern Physics; Univ. of Science and Technology of China, Hefei, Anhui (China). KTX Lab. and Dept. of Modern Physics; Univ. of Wisconsin-Madison, Madison, WI (United States). Dept. of Engineering Physics
- Chinese Academy of Sciences (CAS), Hefei, Anhui (China). CAS Inst. of Plasma Physics
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States); Univ. of California, Oakland, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1535316
- Alternate Identifier(s):
- OSTI ID: 1373145
- Grant/Contract Number:
- FC02-08ER54975; FG02-86ER53218; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 8; 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; physics
Citation Formats
Yan, Xingting, Zhu, Ping, and Sun, Youwen. Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation. United States: N. p., 2017.
Web. doi:10.1063/1.4989449.
Yan, Xingting, Zhu, Ping, & Sun, Youwen. Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation. United States. https://doi.org/10.1063/1.4989449
Yan, Xingting, Zhu, Ping, and Sun, Youwen. Fri .
"Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation". United States. https://doi.org/10.1063/1.4989449. https://www.osti.gov/servlets/purl/1535316.
@article{osti_1535316,
title = {Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation},
author = {Yan, Xingting and Zhu, Ping and Sun, Youwen},
abstractNote = {The characteristic profile and magnitude are predicted in theory for the neoclassical toroidal viscosity (NTV) torque induced by the plasma response to the resonant magnetic perturbation (RMP) in a tokamak with an edge pedestal. For a low-β equilibrium, the NTV torque is dominated by the toroidal component with the same dominant toroidal mode number of RMPs. The NTV torque profile is found to be localized, whose peak location is determined by profiles of both the equilibrium temperature (pressure) and the plasma response. In general, the peak of the NTV torque profile is found to track the pedestal position. The magnitude of NTV torque strongly depends on the β value at the top of pedestal, which suggests a more significant role of NTV torque in higher plasma β regimes. For a fixed plasma β, decreasing density hence increasing temperature can also enhance the amplitude of NTV torque due to the reduced collisionality in the 1/v regime. Based on those findings, our study identifies the tokamak operation regimes where the significance of NTV torque in the edge pedestal induced by RMP can approach those from other momentum sources such as the neutral beam injections.},
doi = {10.1063/1.4989449},
journal = {Physics of Plasmas},
number = 8,
volume = 24,
place = {United States},
year = {Fri Jul 28 00:00:00 EDT 2017},
month = {Fri Jul 28 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Non-resonant magnetic braking on JET and TEXTOR
journal, July 2012
- Sun, Y.; Liang, Y.; Shaing, K. C.
- Nuclear Fusion, Vol. 52, Issue 8
Energy loss for grassy ELMs and effects of plasma rotation on the ELM characteristics in JT-60U
journal, July 2005
- Oyama, N.; Sakamoto, Y.; Isayama, A.
- Nuclear Fusion, Vol. 45, Issue 8
Experimental analyses and predictive simulations of toroidal rotation driven by the neoclassical toroidal viscosity in rippled tokamaks
journal, November 2014
- Honda, M.; Satake, S.; Suzuki, Y.
- Nuclear Fusion, Vol. 54, Issue 11
Nonlinear magnetohydrodynamics simulation using high-order finite elements
journal, March 2004
- Sovinec, C. R.; Glasser, A. H.; Gianakon, T. A.
- Journal of Computational Physics, Vol. 195, Issue 1
Neoclassical toroidal plasma viscosity in the superbanana plateau regime for tokamaks
journal, December 2008
- Shaing, K. C.; Sabbagh, S. A.; Chu, M. S.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 3
Model of to -Mode Transition in Tokamak
journal, May 1988
- Itoh, Sanae-I.; Itoh, Kimitaka
- Physical Review Letters, Vol. 60, Issue 22
Modelling of the neoclassical toroidal plasma viscosity torque in tokamaks
journal, April 2011
- Sun, Y.; Liang, Y.; Shaing, K. C.
- Nuclear Fusion, Vol. 51, Issue 5
Resonant magnetic perturbations of edge-plasmas in toroidal confinement devices
journal, November 2015
- Evans, T. E.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 12
Bifurcation of poloidal rotation and suppression of turbulent fluctuations: A model for the L–H transition in tokamaks
journal, June 1990
- Shaing, K. C.; Crume, E. C.; Houlberg, W. A.
- Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6
Collisional boundary layer analysis for neoclassical toroidal plasma viscosity in tokamaks
journal, August 2008
- Shaing, K. C.; Cahyna, P.; Becoulet, M.
- Physics of Plasmas, Vol. 15, Issue 8
Toroidal rotation braking with n = 1 magnetic perturbation field on JET
journal, September 2010
- Sun, Y.; Liang, Y.; Koslowski, H. R.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 10
δf Monte Carlo calculation of neoclassical transport in perturbed tokamaks
journal, August 2012
- Kim, Kimin; Park, Jong-Kyu; Kramer, Gerrit J.
- Physics of Plasmas, Vol. 19, Issue 8
Theory comparison and numerical benchmarking on neoclassical toroidal viscosity torque
journal, April 2014
- Wang, Zhirui; Park, Jong-Kyu; Liu, Yueqiang
- Physics of Plasmas, Vol. 21, Issue 4
Neoclassical toroidal plasma viscosity in the superbanana regime in tokamaks
journal, February 2009
- Shaing, K. C.; Sabbagh, S. A.; Chu, M. S.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 5
Perturbation to the magnetic field strength
journal, April 2006
- Boozer, Allen H.
- Physics of Plasmas, Vol. 13, Issue 4
Eulerian approach to bounce–transit and drift resonance and neoclassical toroidal plasma viscosity in tokamaks
journal, June 2009
- Shaing, K. C.; Chu, M. S.; Sabbagh, S. A.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 7
RMP enhanced transport and rotational screening in simulations of DIII-D plasmas
journal, September 2008
- Izzo, V. A.; Joseph, I.
- Nuclear Fusion, Vol. 48, Issue 11
Numerical validation of the refined formula of neoclassical toroidal plasma viscosity in tokamaks
journal, June 2013
- Sun, Y.; Shaing, K. C.; Liang, Y.
- Nuclear Fusion, Vol. 53, Issue 7
Simulation studies of the effect of E × B rotation on neoclassical toroidal viscosity in tokamaks with small magnetic perturbations
journal, October 2013
- Satake, S.; Park, J. -K.; Sugama, H.
- Nuclear Fusion, Vol. 53, Issue 11
Neoclassical Toroidal Plasma Viscosity Torque in Collisionless Regimes in Tokamaks
journal, October 2010
- Sun, Y.; Liang, Y.; Shaing, K. C.
- Physical Review Letters, Vol. 105, Issue 14
Magnetohydrodynamic-activity-induced toroidal momentum dissipation in collisionless regimes in tokamaks
journal, May 2003
- Shaing, K. C.
- Physics of Plasmas, Vol. 10, Issue 5
Active Control of Type-I Edge-Localized Modes with Perturbation Fields in the JET Tokamak
journal, June 2007
- Liang, Y.; Koslowski, H. R.; Thomas, P. R.
- Physical Review Letters, Vol. 98, Issue 26
Bifurcation theory of poloidal rotation in tokamaks: A model for L-H transition
journal, November 1989
- Shaing, K.; Crume, E.
- Physical Review Letters, Vol. 63, Issue 21
An approximate analytic expression for neoclassical toroidal plasma viscosity in tokamaks
journal, January 2010
- Shaing, K. C.; Sabbagh, S. A.; Chu, M. S.
- Nuclear Fusion, Vol. 50, Issue 2
Advances in global MHD mode stabilization research on NSTX
journal, January 2010
- Sabbagh, S. A.; Berkery, J. W.; Bell, R. E.
- Nuclear Fusion, Vol. 50, Issue 2
Comparison of MHD-induced rotation damping with NTV predictions on MAST
journal, February 2010
- Hua, M-D; Chapman, I. T.; Field, A. R.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 3
Edge pedestal control in quiescent H-mode discharges in DIII-D using co-plus counter-neutral beam injection
journal, July 2009
- Burrell, K. H.; Osborne, T. H.; Snyder, P. B.
- Nuclear Fusion, Vol. 49, Issue 8
Modeling of non-axisymmetric magnetic perturbations in tokamaks
journal, March 2015
- Sun, Y.; Liang, Y.; Qian, J.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 4
Observation of Plasma Toroidal-Momentum Dissipation by Neoclassical Toroidal Viscosity
journal, June 2006
- Zhu, W.; Sabbagh, S. A.; Bell, R. E.
- Physical Review Letters, Vol. 96, Issue 22
Observation of Plasma Rotation Driven by Static Nonaxisymmetric Magnetic Fields in a Tokamak
journal, November 2008
- Garofalo, A. M.; Burrell, K. H.; DeBoo, J. C.
- Physical Review Letters, Vol. 101, Issue 19
Inter-machine comparison of intrinsic toroidal rotation in tokamaks
journal, October 2007
- Rice, J. E.; Ince-Cushman, A.; deGrassie, J. S.
- Nuclear Fusion, Vol. 47, Issue 11
Neoclassical toroidal viscosity in perturbed equilibria with general tokamak geometry
journal, December 2013
- Logan, Nikolas C.; Park, Jong-Kyu; Kim, Kimin
- Physics of Plasmas, Vol. 20, Issue 12
Suppression of turbulence and transport by sheared flow
journal, January 2000
- Terry, P. W.
- Reviews of Modern Physics, Vol. 72, Issue 1
Theory of perturbed equilibria for solving the Grad–Shafranov equation
journal, December 1999
- Zakharov, L. E.; Pletzer, A.
- Physics of Plasmas, Vol. 6, Issue 12
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary
journal, June 2004
- Evans, T. E.; Moyer, R. A.; Thomas, P. R.
- Physical Review Letters, Vol. 92, Issue 23
Toroidal modeling of penetration of the resonant magnetic perturbation field
journal, April 2013
- Liu, Yueqiang; Kirk, A.; Sun, Y.
- Physics of Plasmas, Vol. 20, Issue 4
Influence of toroidal rotation on transport and stability in hybrid scenario plasmas in DIII-D
journal, May 2008
- Politzer, P. A.; Petty, C. C.; Jayakumar, R. J.
- Nuclear Fusion, Vol. 48, Issue 7
Importance of plasma response to nonaxisymmetric perturbations in tokamaks
journal, May 2009
- Park, Jong-kyu; Boozer, Allen H.; Menard, Jonathan E.
- Physics of Plasmas, Vol. 16, Issue 5
Neoclassical toroidal plasma viscosity in the low collisionality regime for tokamaks
journal, December 2008
- Shaing, K. C.; Sabbagh, S. A.; Chu, M. S.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 3
ELM suppression in low edge collisionality H-mode discharges using n = 3 magnetic perturbations
journal, November 2005
- Burrell, K. H.; Evans, T. E.; Doyle, E. J.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 12B
Pedestal Bifurcation and Resonant Field Penetration at the Threshold of Edge-Localized Mode Suppression in the DIII-D Tokamak
journal, March 2015
- Nazikian, R.; Paz-Soldan, C.; Callen, J. D.
- Physical Review Letters, Vol. 114, Issue 10
Nonambipolar Transport by Trapped Particles in Tokamaks
journal, February 2009
- Park, Jong-kyu; Boozer, Allen H.; Menard, Jonathan E.
- Physical Review Letters, Vol. 102, Issue 6
Alternative Splicing of CHEK2 and Codeletion with NF2 Promote Chromosomal Instability in Meningioma
journal, January 2012
- Yang, Hong Wei; Kim, Tae-Min; Song, Sydney S.
- Neoplasia, Vol. 14, Issue 1