Intrinsic rotation in axisymmetric devices
Abstract
Toroidal rotation is critical for fusion in tokamaks, since it stabilizes instabilities that can otherwise cause disruptions or degrade confinement. Unlike present-day devices, ITER might not have enough neutral-beam torque to easily avoid these instabilities. We must therefore understand how the plasma rotates 'intrinsically,' that is, without applied torque. Experimentally, torque-free plasmas indeed rotate, with profiles that are often non-flat and even non-monotonic. The rotation depends on many plasma parameters including collisionality and plasma current, and exhibits sudden bifurcations ('rotation reversals') at critical parameter values. Since toroidal angular momentum is conserved in axisymmetric systems, and since experimentally inferred momentum transport is much too large to be neoclassical, theoretical work has focused on rotation drive by nondiffusive turbulent momentum fluxes. In the edge, intrinsic rotation relaxes to a steady state in which the total momentum outflux from the plasma vanishes. Ion drift orbits, scrape-off-layer flows, separatrix geometry, and turbulence intensity gradient all play a role. In the core, nondiffusive and viscous momentum fluxes balance to set the rotation gradient at each flux surface. Although many mechanisms have been proposed for the nondiffusive fluxes, most are treated in one of two distinct but related gyrokinetic formulations. In a radially local fluxtube, appropriate for $${\rho }_{\ast }\ll 1$$, the lowest-order gyrokinetic formulations exhibit a symmetry that prohibits nondiffusive momentum flux for nonrotating plasmas in an up-down symmetric magnetic geometry with no $${\boldsymbol{E}}\times {\boldsymbol{B}}$$ shear. Many symmetry-breaking mechanisms have been identified, but none have yet been conclusively demonstrated to drive a strong enough flux to explain commonly observed experimental rotation profiles. Radially global gyrokinetic simulations naturally include many symmetry-breaking mechanisms, and have shown cases with experimentally relevant levels of nondiffusive flux. These promising early results motivate further work to analyze, verify, and validate. This article provides a pedagogical introduction to intrinsic rotation in axisymmetric devices. Finally, intended for both newcomers to the topic and experienced practitioners, the article reviews a broad range of topics including experimental and theoretical results for both edge and core rotation, while maintaining a focus on the underlying concepts.
- Authors:
-
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1573500
- Grant/Contract Number:
- AC02-09CH11466; FC02-04ER54698
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Plasma Physics and Controlled Fusion
- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 12; Journal ID: ISSN 0741-3335
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; toroidal rotation; tokamak; transport; intrinsic rotation; rotation reversal
Citation Formats
Stoltzfus-Dueck, T. Intrinsic rotation in axisymmetric devices. United States: N. p., 2019.
Web. doi:10.1088/1361-6587/ab4376.
Stoltzfus-Dueck, T. Intrinsic rotation in axisymmetric devices. United States. https://doi.org/10.1088/1361-6587/ab4376
Stoltzfus-Dueck, T. Fri .
"Intrinsic rotation in axisymmetric devices". United States. https://doi.org/10.1088/1361-6587/ab4376. https://www.osti.gov/servlets/purl/1573500.
@article{osti_1573500,
title = {Intrinsic rotation in axisymmetric devices},
author = {Stoltzfus-Dueck, T.},
abstractNote = {Toroidal rotation is critical for fusion in tokamaks, since it stabilizes instabilities that can otherwise cause disruptions or degrade confinement. Unlike present-day devices, ITER might not have enough neutral-beam torque to easily avoid these instabilities. We must therefore understand how the plasma rotates 'intrinsically,' that is, without applied torque. Experimentally, torque-free plasmas indeed rotate, with profiles that are often non-flat and even non-monotonic. The rotation depends on many plasma parameters including collisionality and plasma current, and exhibits sudden bifurcations ('rotation reversals') at critical parameter values. Since toroidal angular momentum is conserved in axisymmetric systems, and since experimentally inferred momentum transport is much too large to be neoclassical, theoretical work has focused on rotation drive by nondiffusive turbulent momentum fluxes. In the edge, intrinsic rotation relaxes to a steady state in which the total momentum outflux from the plasma vanishes. Ion drift orbits, scrape-off-layer flows, separatrix geometry, and turbulence intensity gradient all play a role. In the core, nondiffusive and viscous momentum fluxes balance to set the rotation gradient at each flux surface. Although many mechanisms have been proposed for the nondiffusive fluxes, most are treated in one of two distinct but related gyrokinetic formulations. In a radially local fluxtube, appropriate for ${\rho }_{\ast }\ll 1$, the lowest-order gyrokinetic formulations exhibit a symmetry that prohibits nondiffusive momentum flux for nonrotating plasmas in an up-down symmetric magnetic geometry with no ${\boldsymbol{E}}\times {\boldsymbol{B}}$ shear. Many symmetry-breaking mechanisms have been identified, but none have yet been conclusively demonstrated to drive a strong enough flux to explain commonly observed experimental rotation profiles. Radially global gyrokinetic simulations naturally include many symmetry-breaking mechanisms, and have shown cases with experimentally relevant levels of nondiffusive flux. These promising early results motivate further work to analyze, verify, and validate. This article provides a pedagogical introduction to intrinsic rotation in axisymmetric devices. Finally, intended for both newcomers to the topic and experienced practitioners, the article reviews a broad range of topics including experimental and theoretical results for both edge and core rotation, while maintaining a focus on the underlying concepts.},
doi = {10.1088/1361-6587/ab4376},
journal = {Plasma Physics and Controlled Fusion},
number = 12,
volume = 61,
place = {United States},
year = {Fri Nov 08 00:00:00 EST 2019},
month = {Fri Nov 08 00:00:00 EST 2019}
}
Web of Science
Works referenced in this record:
Quiescent H-mode operation using torque from non-axisymmetric, non-resonant magnetic fields
journal, June 2013
- Burrell, K. H.; Garofalo, A. M.; Solomon, W. M.
- Nuclear Fusion, Vol. 53, Issue 7
ELM frequency dependence on toroidal rotation in the grassy ELM regime in JT-60U
journal, February 2007
- Oyama, N.; Kamada, Y.; Isayama, A.
- Plasma Physics and Controlled Fusion, Vol. 49, Issue 3
Reduction of inward momentum flux by damped eigenmodes
journal, December 2009
- Terry, P. W.; Baver, D. A.; Hatch, D. R.
- Physics of Plasmas, Vol. 16, Issue 12
Transport of Parallel Momentum Induced by Current-Symmetry Breaking in Toroidal Plasmas
journal, March 2009
- Camenen, Y.; Peeters, A. G.; Angioni, C.
- Physical Review Letters, Vol. 102, Issue 12
Observations of anomalous momentum transport in Alcator C-Mod plasmas with no momentum input
journal, February 2004
- Rice, J. E.; Lee, W. D.; Marmar, E. S.
- Nuclear Fusion, Vol. 44, Issue 3
The influence of neutral friction and neoclassical viscosity in the edge of ASDEX Upgrade
journal, May 1998
- Peeters, A. G.; Stober, J.; Coster, D.
- Plasma Physics and Controlled Fusion, Vol. 40, Issue 5
Interpretation of fast measurements of plasma potential, temperature and density in SOL of ASDEX Upgrade
journal, August 2010
- Horacek, J.; Adamek, J.; Müller, H. W.
- Nuclear Fusion, Vol. 50, Issue 10
Neutral recycling effects on ITG turbulence
journal, July 2017
- Stotler, D. P.; Lang, J.; Chang, C. S.
- Nuclear Fusion, Vol. 57, Issue 8
Density impact on toroidal rotation in Tore Supra: experimental observations and theoretical investigation
journal, February 2015
- Bernardo, J.; Fenzi, C.; Bourdelle, C.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 3
Multi-channel transport experiments at Alcator C-Mod and comparison with gyrokinetic simulations
journal, May 2013
- White, A. E.; Howard, N. T.; Greenwald, M.
- Physics of Plasmas, Vol. 20, Issue 5
Effects of neutrals on plasma rotation in DIII-D
journal, March 1997
- Monier-Garbet, P.; Burrell, K. H.; Hinton, F. L.
- Nuclear Fusion, Vol. 37, Issue 3
Edge rotation from momentum transport by neutrals
journal, November 2016
- Omotani, Jt; Newton, Sl; Pusztai, I.
- Journal of Physics: Conference Series, Vol. 775
Toroidal Rotation Driven by the Polarization Drift
journal, November 2009
- McDevitt, C. J.; Diamond, P. H.; Gürcan, Ö. D.
- Physical Review Letters, Vol. 103, Issue 20
Effect of Poloidal Density Variation of Neutral Atoms on the Tokamak Edge
journal, November 2002
- Fülöp, T.; Helander, P.; Catto, Peter J.
- Physical Review Letters, Vol. 89, Issue 22
Characterization of intrinsic rotation drive on DIII-D
journal, May 2011
- Solomon, W. M.; Burrell, K. H.; deGrassie, J. S.
- Nuclear Fusion, Vol. 51, Issue 7
Effects of ripple loss of fast ions on toroidal rotation in JT-60U
journal, October 2006
- Yoshida, M.; Koide, Y.; Takenaga, H.
- Plasma Physics and Controlled Fusion, Vol. 48, Issue 11
Parallel correlation measurements in the scrape-off layer of the Joint European Torus
journal, April 2002
- Thomsen, H.; Endler, M.; Bleuel, J.
- Physics of Plasmas, Vol. 9, Issue 4
A comparison of experimental measurements and code results to determine flows in the JET SOL
journal, September 2004
- Erents, S. K.; Pitts, R. A.; Fundamenski, W.
- Plasma Physics and Controlled Fusion, Vol. 46, Issue 11
Shear-induced Reynolds stress at the edge of L-mode tokamak plasmas
journal, September 2012
- Fedorczak, N.; Diamond, P. H.; Tynan, G.
- Nuclear Fusion, Vol. 52, Issue 10
Observation of Anomalous Momentum Transport in Tokamak Plasmas with No Momentum Input
journal, November 2003
- Lee, W. D.; Rice, J. E.; Marmar, E. S.
- Physical Review Letters, Vol. 91, Issue 20
Neoclassical theory of rotation and electric field in high collisionality plasmas with steep gradients
journal, September 2000
- Claassen, H. A.; Gerhauser, H.; Rogister, A.
- Physics of Plasmas, Vol. 7, Issue 9
Tokamak-edge toroidal rotation due to inhomogeneous transport and geodesic curvature
journal, May 2012
- Stoltzfus-Dueck, T.
- Physics of Plasmas, Vol. 19, Issue 5
Validation of the kinetic-turbulent-neoclassical theory for edge intrinsic rotation in DIII-D
journal, May 2018
- Ashourvan, Arash; Grierson, B. A.; Battaglia, D. J.
- Physics of Plasmas, Vol. 25, Issue 5
The effect of asymmetric gas puffing on toroidal flow in the edge of tokamak plasma
journal, January 2004
- Singh, Raghvendra; Rogister, Andre; Kaw, Predhiman
- Physics of Plasmas, Vol. 11, Issue 1
Scrape-off Layer Plasma Flow in L- and H-Mode Plasmas on JT-60U
journal, January 2009
- Asakura, Nobuyuki
- Plasma and Fusion Research, Vol. 4
Momentum losses by charge exchange with neutral particles in H-mode discharges at JET
journal, April 2011
- Versloot, T. W.; de Vries, P. C.; Giroud, C.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 6
Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations
journal, August 2011
- Brizard, Alain J.; Tronko, Natalia
- Physics of Plasmas, Vol. 18, Issue 8
Stringer spin up due to anomalous transport
journal, June 1998
- Peeters, A. G.
- Physics of Plasmas, Vol. 5, Issue 6
1D equation for toroidal momentum transport in a tokamak
journal, April 2010
- Rozhansky, V. A.; Senichenkov, I. Yu
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 6
H-mode pedestal structure in the variation of toroidal rotation and toroidal field ripple in JT-60U
journal, June 2007
- Urano, H.; Oyama, N.; Kamiya, K.
- Nuclear Fusion, Vol. 47, Issue 7
On the effect of neoclassical flows on intrinsic momentum in ASDEX Upgrade Ohmic L-mode plasmas
journal, February 2017
- Hornsby, W. A.; Angioni, C.; Fable, E.
- Nuclear Fusion, Vol. 57, Issue 4
Blob-induced toroidal momentum transport in simple magnetized plasmas
journal, March 2011
- Labit, B.; Theiler, C.; Fasoli, A.
- Physics of Plasmas, Vol. 18, Issue 3
Intrinsic toroidal velocity near the edge of DIII-D H-mode plasmas
journal, July 2009
- deGrassie, J. S.; Groebner, R. J.; Burrell, K. H.
- Nuclear Fusion, Vol. 49, Issue 8
Neutral diffusion and anomalous effects on ion flow shear
journal, September 1998
- Fülöp, T.; Catto, Peter J.; Helander, P.
- Physics of Plasmas, Vol. 5, Issue 9
Full- f gyrokinetic simulation over a confinement time
journal, February 2014
- Idomura, Yasuhiro
- Physics of Plasmas, Vol. 21, Issue 2
Experimental studies of the physical mechanism determining the radial electric field and its radial structure in a toroidal plasma
journal, August 1998
- Ida, Katsumi
- Plasma Physics and Controlled Fusion, Vol. 40, Issue 8
Equations for the evolution of the radial electric field and poloidal rotation in toroidally symmetric geometry
journal, March 1998
- Peeters, A. G.
- Physics of Plasmas, Vol. 5, Issue 3
Effects of E×B velocity shear and magnetic shear on turbulence and transport in magnetic confinement devices
journal, May 1997
- Burrell, K. H.
- Physics of Plasmas, Vol. 4, Issue 5
Physics of non-diffusive turbulent transport of momentum and the origins of spontaneous rotation in tokamaks
journal, March 2009
- Diamond, P. H.; McDevitt, C. J.; Gürcan, Ö. D.
- Nuclear Fusion, Vol. 49, Issue 4
A new hybrid kinetic electron model for full-f gyrokinetic simulations
journal, May 2016
- Idomura, Y.
- Journal of Computational Physics, Vol. 313
Observations of central toroidal rotation in ICRF heated Alcator C-Mod plasmas
journal, January 1998
- Rice, J. E.; Greenwald, M.; Hutchinson, I. H.
- Nuclear Fusion, Vol. 38, Issue 1
Evidence for Strong Inversed Shear of Toroidal Rotation at the Edge-Transport Barrier in the ASDEX Upgrade
journal, January 2009
- Pütterich, T.; Wolfrum, E.; Dux, R.
- Physical Review Letters, Vol. 102, Issue 2
Spontaneous rotation sources in a quiescent tokamak edge plasma
journal, June 2008
- Chang, C. S.; Ku, S.
- Physics of Plasmas, Vol. 15, Issue 6
Influence of Magnetic Field Ripple on the Intrinsic Rotation of Tokamak Plasmas
journal, September 2010
- Nave, M. F. F.; Johnson, T.; Eriksson, L. -G.
- Physical Review Letters, Vol. 105, Issue 10
Theory for neoclassical toroidal plasma viscosity in tokamaks
journal, November 2012
- Shaing, K. C.; Chu, M. S.; Hsu, C. T.
- Plasma Physics and Controlled Fusion, Vol. 54, Issue 12
Rotation Drive and Momentum Transport with Electron Cyclotron Heating in Tokamak Plasmas
journal, August 2009
- Yoshida, M.; Sakamoto, Y.; Takenaga, H.
- Physical Review Letters, Vol. 103, Issue 6
Erratum: ‘‘A short mean free path, coupled neutral‐ion transport description of a tokamak edge plasma’’ [Phys. Plasmas 1 , 1936 (1994)]
journal, September 1994
- Catto, Peter J.
- Physics of Plasmas, Vol. 1, Issue 9
Transport of parallel momentum by drift-Alfvén turbulence
journal, January 2009
- McDevitt, C. J.; Diamond, P. H.
- Physics of Plasmas, Vol. 16, Issue 1
Ion Transport in Turbulent Edge Plasmas
journal, September 1996
- Helander, P.; Hazeltine, R. D.; Catto, Peter J.
- Physical Review Letters, Vol. 77, Issue 12
Symmetry breaking of ion temperature gradient mode structure: From local to global analysis
journal, April 2017
- Lu, Z. X.; Fable, E.; Hornsby, W. A.
- Physics of Plasmas, Vol. 24, Issue 4
Understanding and predicting profile structure and parametric scaling of intrinsic rotation
journal, September 2017
- Wang, W. X.; Grierson, B. A.; Ethier, S.
- Physics of Plasmas, Vol. 24, Issue 9
Observation of Spontaneous Toroidal Rotation Inversion in Ohmically Heated Tokamak Plasmas
journal, December 2006
- Bortolon, A.; Duval, B. P.; Pochelon, A.
- Physical Review Letters, Vol. 97, Issue 23
The effect of charge exchange on plasma flows
journal, August 1992
- Valanju, P. M.; Calvin, M. D.; Hazeltine, R. D.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 8
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
Ballooning mode spectrum in general toroidal systems
journal, January 1983
- Dewar, R. L.
- Physics of Fluids, Vol. 26, Issue 10
Measurement of the complete core plasma flow across the LOC–SOC transition at ASDEX Upgrade
journal, December 2017
- Lebschy, A.; McDermott, R. M.; Angioni, C.
- Nuclear Fusion, Vol. 58, Issue 2
Intrinsic rotation in DIII-D
journal, May 2007
- deGrassie, J. S.; Rice, J. E.; Burrell, K. H.
- Physics of Plasmas, Vol. 14, Issue 5
Parasitic momentum flux in the tokamak core
journal, March 2017
- Stoltzfus-Dueck, T.
- Physics of Plasmas, Vol. 24, Issue 3
Global gyrokinetic simulations of intrinsic rotation in ASDEX Upgrade Ohmic L-mode plasmas
journal, March 2018
- Hornsby, W. A.; Angioni, C.; Lu, Z. X.
- Nuclear Fusion, Vol. 58, Issue 5
Stability and dynamics of the edge pedestal in the low collisionality regime: physics mechanisms for steady-state ELM-free operation
journal, August 2007
- Snyder, P. B.; Burrell, K. H.; Wilson, H. R.
- Nuclear Fusion, Vol. 47, Issue 8
Conservation equations and calculation of mean flows in gyrokinetics
journal, August 2011
- Abiteboul, J.; Garbet, X.; Grandgirard, V.
- Physics of Plasmas, Vol. 18, Issue 8
Diffusion in Toroidal Plasmas with Radial Electric Field
journal, April 1969
- Stringer, T. E.
- Physical Review Letters, Vol. 22, Issue 15
Plasma size scaling of avalanche-like heat transport in tokamaks
journal, February 2012
- Jolliet, S.; Idomura, Y.
- Nuclear Fusion, Vol. 52, Issue 2
Analytical calculation of neutral transport and its effect on ions
journal, January 1992
- Hazeltine, R. D.; Calvin, M. D.; Valanju, P. M.
- Nuclear Fusion, Vol. 32, Issue 1
Potentials, E×B drifts, and fluctuations in the DIII-D boundary
journal, March 1999
- Moyer, R. A.; Lehmer, R.; Boedo, J. A.
- Journal of Nuclear Materials, Vol. 266-269
Core intrinsic rotation behaviour in ASDEX Upgrade ohmic L-mode plasmas
journal, March 2014
- McDermott, R. M.; Angioni, C.; Conway, G. D.
- Nuclear Fusion, Vol. 54, Issue 4
Toroidal plasma rotation in the TCV tokamak
journal, April 2006
- Scarabosio, A.; Bortolon, A.; Duval, B. P.
- Plasma Physics and Controlled Fusion, Vol. 48, Issue 5
Search for coherent structure within tokamak plasma turbulence
journal, January 1985
- Zweben, S. J.
- Physics of Fluids, Vol. 28, Issue 3
Toroidal rotation in ICRF-heated H-modes on JET
journal, January 1997
- Eriksson, L-G; Righi, E.; Zastrow, K-D
- Plasma Physics and Controlled Fusion, Vol. 39, Issue 1
High Mode Number Stability of an Axisymmetric Toroidal Plasma
journal, February 1979
- Connor, J. W.; Hastie, R. J.; Taylor, J. B.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 365, Issue 1720
Wall Stabilization of High Beta Tokamak Discharges in DIII-D
journal, March 1995
- Strait, E. J.; Taylor, T. S.; Turnbull, A. D.
- Physical Review Letters, Vol. 74, Issue 13
Neoclassical transport of toroidal momentum in tokamaks
journal, May 1990
- Ware, A. A.
- Physical Review Letters, Vol. 64, Issue 22
Anomalous momentum transport from drift wave turbulence
journal, November 1993
- Dominguez, R. R.; Staebler, G. M.
- Physics of Fluids B: Plasma Physics, Vol. 5, Issue 11
On neutral-beam injection counter to the plasma current
journal, November 2005
- Helander, P.; Akers, R. J.; Eriksson, L. -G.
- Physics of Plasmas, Vol. 12, Issue 11
Transport and drift-driven plasma flow components in the Alcator C-Mod boundary plasma
journal, January 2013
- Smick, N.; LaBombard, B.; Hutchinson, I. H.
- Nuclear Fusion, Vol. 53, Issue 2
The effect of diamagnetic drift on the boundary conditions in tokamak scrape-off layers and the distribution of plasma fluxes near the target
journal, September 1994
- Chankin, A. V.; Stangeby, P. C.
- Plasma Physics and Controlled Fusion, Vol. 36, Issue 9
Indirect measurement of poloidal rotation using inboard–outboard asymmetry of toroidal rotation and comparison with neoclassical predictions
journal, January 2013
- Bortolon, A.; Camenen, Y.; Karpushov, A. N.
- Nuclear Fusion, Vol. 53, Issue 2
Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas
journal, May 2006
- Evans, Todd E.; Moyer, Richard A.; Burrell, Keith H.
- Nature Physics, Vol. 2, Issue 6
Edge-Localized-Mode–Induced Transport of Impurity Density, Energy, and Momentum
journal, June 2005
- Wade, M. R.; Burrell, K. H.; Leonard, A. W.
- Physical Review Letters, Vol. 94, Issue 22
On the efficiency of intrinsic rotation generation in tokamaks
journal, October 2010
- Kosuga, Y.; Diamond, P. H.; Gürcan, Ö. D.
- Physics of Plasmas, Vol. 17, Issue 10
Toroidal rotation and ion heating during neutral beam injection in PBX-M
journal, August 1993
- Asakura, N.; Fonck, R. J.; Jaehnig, K. P.
- Nuclear Fusion, Vol. 33, Issue 8
Effects of 3D magnetic perturbations on toroidal plasmas
journal, August 2011
- Callen, J. D.
- Nuclear Fusion, Vol. 51, Issue 9
Neutral particle and radiation effects on Pfirsch–Schlüter fluxes near the edge
journal, November 1998
- Catto, Peter J.; Helander, P.; Connor, J. W.
- Physics of Plasmas, Vol. 5, Issue 11
Parallel SOL flow on TCV
journal, June 2007
- Pitts, R. A.; Horacek, J.; Fundamenski, W.
- Journal of Nuclear Materials, Vol. 363-365
Neutral diffusion and anomalous effects on collisional ion flow shear in tokamaks
journal, November 1998
- Fülöp, T.; Catto, Peter J.; Helander, P.
- Physics of Plasmas, Vol. 5, Issue 11
Experimental observations and modelling of intrinsic rotation reversals in tokamaks
journal, January 2017
- Camenen, Y.; Angioni, C.; Bortolon, A.
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 3
Transport-Driven Toroidal Rotation in the Tokamak Edge
journal, February 2012
- Stoltzfus-Dueck, T.
- Physical Review Letters, Vol. 108, Issue 6
An H minority heating regime in Tore Supra showing improved L mode confinement
journal, May 2000
- Hoang, G. T.; Monier-Garbet, P.; Aniel, T.
- Nuclear Fusion, Vol. 40, Issue 5
Neoclassical plasma viscosity and transport processes in non-axisymmetric tori
journal, November 2015
- Shaing, K. C.; Ida, K.; Sabbagh, S. A.
- Nuclear Fusion, Vol. 55, Issue 12
Gyrokinetic theory and simulation of angular momentum transport
journal, December 2007
- Waltz, R. E.; Staebler, G. M.; Candy, J.
- Physics of Plasmas, Vol. 14, Issue 12
Turbulent momentum transport in core tokamak plasmas and penetration of scrape-off layer flows
journal, June 2013
- Abiteboul, J.; Ghendrih, Ph; Grandgirard, V.
- Plasma Physics and Controlled Fusion, Vol. 55, Issue 7
Revisited neoclassical transport theory for steep, collisional plasma edge profiles
journal, March 1994
- Rogister, André
- Physics of Plasmas, Vol. 1, Issue 3
Transport of parallel momentum by collisionless drift wave turbulence
journal, January 2008
- Diamond, P. H.; McDevitt, C. J.; Gürcan, Ö. D.
- Physics of Plasmas, Vol. 15, Issue 1
The role of turbulent transport in DIII-D edge and divertor plasmas
journal, February 1997
- Moyer, R.
- Journal of Nuclear Materials, Vol. 241-243, Issue 1
The complex mixed Wentzel–Kramers–Brillouin-full-wave approach and its application to the two dimensional mode structure analysis of ion temperature gradient/collisionless trapped electron mode drift waves
journal, May 2015
- Lu, Z. X.
- Physics of Plasmas, Vol. 22, Issue 5
Bifurcation behaviour of rotation velocities in collisional edge plasma with steep gradients
journal, September 2009
- Daybelge, U.; Yarim, C.; Nicolai, A.
- Nuclear Fusion, Vol. 49, Issue 11
Transport-driven Scrape-Off-Layer flows and the boundary conditions imposed at the magnetic separatrix in a tokamak plasma
journal, September 2004
- LaBombard, B.; Rice, J. E.; Hubbard, A. E.
- Nuclear Fusion, Vol. 44, Issue 10
X-point position dependence of edge intrinsic toroidal rotation on the Tokamak à Configuration Variablea)
journal, May 2015
- Stoltzfus-Dueck, T.; Karpushov, A. N.; Sauter, O.
- Physics of Plasmas, Vol. 22, Issue 5
Turbulent SOL transport in stellarators and tokamaks
journal, March 1999
- Endler, M.
- Journal of Nuclear Materials, Vol. 266-269
Edge momentum transport by neutrals: an interpretive numerical framework
journal, May 2017
- Omotani, J. T.; Newton, S. L.; Pusztai, I.
- Nuclear Fusion, Vol. 57, Issue 6
Momentum flux parasitic to free-energy transfer
journal, July 2017
- Stoltzfus-Dueck, T.; Scott, B.
- Nuclear Fusion, Vol. 57, Issue 8
Tokamak rotation sources, transport and sinks
journal, November 2009
- deGrassie, J. S.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 12
Intrinsic rotation and electric field shear
journal, April 2007
- Gürcan, Ö. D.; Diamond, P. H.; Hahm, T. S.
- Physics of Plasmas, Vol. 14, Issue 4
Overview of toroidal momentum transport
journal, August 2011
- Peeters, A. G.; Angioni, C.; Bortolon, A.
- Nuclear Fusion, Vol. 51, Issue 9
Confinement time scaling in TEXT
journal, November 1985
- Bravenec, R. V.; Gentle, K. W.; Phillips, P. E.
- Plasma Physics and Controlled Fusion, Vol. 27, Issue 11
On plasma rotation with toroidal magnetic field ripple and no external momentum input
journal, September 2011
- Fenzi, C.; Garbet, X.; Trier, E.
- Nuclear Fusion, Vol. 51, Issue 10
Self-Acceleration of a Tokamak Plasma during Ohmic H Mode
journal, April 2000
- Hutchinson, I. H.; Rice, J. E.; Granetz, R. S.
- Physical Review Letters, Vol. 84, Issue 15
Intrinsic momentum generation by a combined neoclassical and turbulence mechanism in diverted DIII-D plasma edge
journal, September 2014
- Seo, Janghoon; Chang, C. S.; Ku, S.
- Physics of Plasmas, Vol. 21, Issue 9
Observation of Self-Generated Flows in Tokamak Plasmas with Lower-Hybrid-Driven Current
journal, January 2009
- Ince-Cushman, A.; Rice, J. E.; Reinke, M.
- Physical Review Letters, Vol. 102, Issue 3
Poloidally and radially resolved parallel D+ velocity measurements in the DIII-D boundary and comparison to neoclassical computations
journal, March 2011
- Boedo, J. A.; Belli, E. A.; Hollmann, E.
- Physics of Plasmas, Vol. 18, Issue 3
Energetic consistency and momentum conservation in the gyrokinetic description of tokamak plasmas
journal, November 2010
- Scott, B.; Smirnov, J.
- Physics of Plasmas, Vol. 17, Issue 11
-Point-Position-Dependent Intrinsic Toroidal Rotation in the Edge of the TCV Tokamak
journal, June 2015
- Stoltzfus-Dueck, T.; Karpushov, A. N.; Sauter, O.
- Physical Review Letters, Vol. 114, Issue 24
Linear gyrokinetic calculations of toroidal momentum transport in a tokamak due to the ion temperature gradient mode
journal, July 2005
- Peeters, A. G.; Angioni, C.
- Physics of Plasmas, Vol. 12, Issue 7
Spontaneous L-mode plasma rotation scaling in the TCV tokamak
journal, May 2008
- Duval, B. P.; Bortolon, A.; Karpushov, A.
- Physics of Plasmas, Vol. 15, Issue 5
Intrinsic Toroidal Rotation, Density Peaking, and Turbulence Regimes in the Core of Tokamak Plasmas
journal, November 2011
- Angioni, C.; McDermott, R. M.; Casson, F. J.
- Physical Review Letters, Vol. 107, Issue 21
Gyrokinetic Studies on Turbulence-Driven and Neoclassical Nondiffusive Toroidal-Momentum Transport and the Effect of Residual Fluctuations in Strong Shear
journal, January 2009
- Wang, W. X.; Hahm, T. S.; Ethier, S.
- Physical Review Letters, Vol. 102, Issue 3
Edge Temperature Gradient as Intrinsic Rotation Drive in Alcator -Mod Tokamak Plasmas
journal, May 2011
- Rice, J. E.; Hughes, J. W.; Diamond, P. H.
- Physical Review Letters, Vol. 106, Issue 21
Classical drifts in the tokamak SOL and divertor: models and experiment
journal, February 1997
- Chankin, A.
- Journal of Nuclear Materials, Vol. 241-243, Issue 1
Measurements of the deuterium ion toroidal rotation in the DIII-D tokamak and comparison to neoclassical theory
journal, May 2012
- Grierson, B. A.; Burrell, K. H.; Heidbrink, W. W.
- Physics of Plasmas, Vol. 19, Issue 5
Theoretical interpretation of the toroidal rotation velocity observed in Alcator C-Mod Ohmic H-mode discharges
journal, August 2002
- Rogister, A. L.; Rice, J. E.; Nicolai, A.
- Nuclear Fusion, Vol. 42, Issue 9
Gyrokinetic study of electromagnetic effects on toroidal momentum transport in tokamak plasmas
journal, July 2011
- Hein, T.; Angioni, C.; Fable, E.
- Physics of Plasmas, Vol. 18, Issue 7
Erratum: “Gyrokinetic theory and simulation of angular momentum transport” [Phys. Plasmas 14, 122507 (2007)]
journal, July 2009
- Waltz, R. E.; Staebler, G. M.; Candy, J.
- Physics of Plasmas, Vol. 16, Issue 7
Investigation of intrinsic toroidal rotation scaling in KSTAR
journal, July 2017
- Yoo, J. W.; Lee, S. G.; Ko, S. H.
- Physics of Plasmas, Vol. 24, Issue 7
Main ion and impurity edge profile evolution across the L- to H-mode transition on DIII-D
journal, August 2018
- Haskey, S. R.; Grierson, B. A.; Chrystal, C.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 10
Impurity poloidal rotation velocity in tokamaks
journal, April 1994
- Meigs, A. G.; Rowan, William L.
- Physics of Plasmas, Vol. 1, Issue 4
Experimentally testing the dependence of momentum transport on second derivatives using Gaussian process regression
journal, September 2017
- Chilenski, M. A.; Greenwald, M. J.; Hubbard, A. E.
- Nuclear Fusion, Vol. 57, Issue 12
Effect of ELMs on rotation and momentum confinement in H-mode discharges in JET
journal, March 2010
- Versloot, T. W.; de Vries, P. C.; Giroud, C.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 4
Advanced plasma fluctuation analysis techniques and their impact on fusion research (invited)
journal, August 1988
- Ritz, Ch. P.; Powers, E. J.; Rhodes, T. L.
- Review of Scientific Instruments, Vol. 59, Issue 8
The impact of a biasing radial electric field on the scrape‐off layer in a divertor tokamak
journal, August 1994
- Rozhansky, V.; Tendler, M.
- Physics of Plasmas, Vol. 1, Issue 8
Consequences of profile shearing on toroidal momentum transport
journal, June 2011
- Camenen, Y.; Idomura, Y.; Jolliet, S.
- Nuclear Fusion, Vol. 51, Issue 7
Plasma rotation from momentum transport by neutrals in tokamaks
journal, September 2016
- Omotani, J.; Pusztai, I.; Newton, S.
- Nuclear Fusion, Vol. 56, Issue 12
Toroidal Momentum Pinch Velocity due to the Coriolis Drift Effect on Small Scale Instabilities in a Toroidal Plasma
journal, June 2007
- Peeters, A. G.; Angioni, C.; Strintzi, D.
- Physical Review Letters, Vol. 98, Issue 26
Predictions on heat transport and plasma rotation from global gyrokinetic simulations
journal, September 2011
- Sarazin, Y.; Grandgirard, V.; Abiteboul, J.
- Nuclear Fusion, Vol. 51, Issue 10
Parallel electron force balance and the L-H transition
journal, May 2016
- Stoltzfus-Dueck, T.
- Physics of Plasmas, Vol. 23, Issue 5
Transport of perpendicular edge momentum by drift-interchange turbulence and blobs
journal, March 2008
- Myra, J. R.; Russell, D. A.; D’Ippolito, D. A.
- Physics of Plasmas, Vol. 15, Issue 3
On the correlation between ‘non-local’ effects and intrinsic rotation reversals in Alcator C-Mod
journal, May 2017
- Rodriguez-Fernandez, P.; Rice, J. E.; Cao, N. M.
- Nuclear Fusion, Vol. 57, Issue 7
Plasma Diffusion and Stability in Toroidal Systems
journal, August 1969
- Rosenbluth, M. N.; Taylor, J. B.
- Physical Review Letters, Vol. 23, Issue 7
Anomalous parallel momentum transport due to E×B flow shear in a tokamak plasma
journal, September 2009
- Casson, F. J.; Peeters, A. G.; Camenen, Y.
- Physics of Plasmas, Vol. 16, Issue 9
Ohmic energy confinement saturation and core toroidal rotation reversal in Alcator C-Mod plasmas
journal, May 2012
- Rice, J. E.; Greenwald, M. J.; Podpaly, Y. A.
- Physics of Plasmas, Vol. 19, Issue 5
Up-down symmetry of the turbulent transport of toroidal angular momentum in tokamaks
journal, June 2011
- Parra, Felix I.; Barnes, Michael; Peeters, Arthur G.
- Physics of Plasmas, Vol. 18, Issue 6
Plasma dynamics with second and third-harmonic ECRH and access to quasi-stationary ELM-free H-mode on TCV
journal, August 2007
- Porte, L.; Coda, S.; Alberti, S.
- Nuclear Fusion, Vol. 47, Issue 8
Edge toroidal momentum and its effect on the scrape-off layer
journal, May 1996
- Chankin, A. V.; Kerner, W.
- Nuclear Fusion, Vol. 36, Issue 5
Trapped Electron Mode Turbulence Driven Intrinsic Rotation in Tokamak Plasmas
journal, February 2011
- Wang, W. X.; Hahm, T. S.; Ethier, S.
- Physical Review Letters, Vol. 106, Issue 8
Kinetic theory in self‐similar variables for neutral atoms in plasma
journal, January 1996
- Helander, P.; Krasheninnikov, S. I.
- Physics of Plasmas, Vol. 3, Issue 1
Time evolution of mass flows in a collisional tokamak
journal, January 1978
- Hassam, Adil B.; Kulsrud, Russell M.
- Physics of Fluids, Vol. 21, Issue 12
Toroidal angular momentum balance during rotation changes induced by electron heating modulation in tokamak plasmas
journal, July 2017
- Idomura, Yasuhiro
- Physics of Plasmas, Vol. 24, Issue 8
Off-diagonal particle and toroidal momentum transport: a survey of experimental, theoretical and modelling aspects
journal, October 2012
- Angioni, C.; Camenen, Y.; Casson, F. J.
- Nuclear Fusion, Vol. 52, Issue 11
Nonlinear gyrokinetic theory of toroidal momentum pinch
journal, July 2007
- Hahm, T. S.; Diamond, P. H.; Gurcan, O. D.
- Physics of Plasmas, Vol. 14, Issue 7
Intrinsic toroidal rotation in the scrape-off layer of tokamaks
journal, June 2014
- Loizu, J.; Ricci, P.; Halpern, F. D.
- Physics of Plasmas, Vol. 21, Issue 6
Toroidal momentum transport in a tokamak due to profile shearing
journal, June 2014
- Buchholz, R.; Camenen, Y.; Casson, F. J.
- Physics of Plasmas, Vol. 21, Issue 6
Gyrokinetic simulation of momentum transport with residual stress from diamagnetic level velocity shears
journal, April 2011
- Waltz, R. E.; Staebler, G. M.; Solomon, W. M.
- Physics of Plasmas, Vol. 18, Issue 4
Effect of asymmetric sources on tokamak neoclassical transport in the plateau regime
journal, September 1990
- Solano, E. R.; Hazeltine, R. D.
- Physics of Fluids B: Plasma Physics, Vol. 2, Issue 9
Bulk plasma rotation in the TCV tokamak in the absence of external momentum input
journal, November 2007
- Duval, B. P.; Bortolon, A.; Karpushov, A.
- Plasma Physics and Controlled Fusion, Vol. 49, Issue 12B
Non-ambipolarity of perpendicular plasma transport and asymmetry of particle flow onto the tokamak rail limiter
journal, April 1989
- Chankin, A. V.; Vershkov, V. A.
- Journal of Nuclear Materials, Vol. 162-164
Residual parallel Reynolds stress due to turbulence intensity gradient in tokamak plasmas
journal, November 2010
- Gürcan, Ö. D.; Diamond, P. H.; Hennequin, P.
- Physics of Plasmas, Vol. 17, Issue 11
Effect of the limiter position on the scrape-off layer width, radial electric field and intrinsic flows
journal, July 2014
- Loizu, J.; Ricci, P.; Halpern, F. D.
- Nuclear Fusion, Vol. 54, Issue 8
New techniques for calculating heat and particle source rates due to neutral beam injection in axisymmetric tokamaks
journal, September 1981
- Goldston, R. J.; McCune, D. C.; Towner, H. H.
- Journal of Computational Physics, Vol. 43, Issue 1
Density sensitivity of intrinsic rotation profiles in ion cyclotron range of frequency-heated L-mode plasmas
journal, December 2012
- Reinke, M. L.; Rice, J. E.; White, A. E.
- Plasma Physics and Controlled Fusion, Vol. 55, Issue 1
Effects of poloidal variation of neutral density on Pfirsch–Schlüter transport near the tokamak edge
journal, February 2003
- Simakov, Andrei N.; Catto, Peter J.
- Physics of Plasmas, Vol. 10, Issue 2
Radial current and flows in the scrape-off layer of a tokamak
journal, March 1998
- Schoor, M. Van; Weynants, R.
- Plasma Physics and Controlled Fusion, Vol. 40, Issue 3
Rotation and density asymmetries in the presence of large poloidal impurity flows in the edge pedestal
journal, November 2013
- Viezzer, E.; Pütterich, T.; Fable, E.
- Plasma Physics and Controlled Fusion, Vol. 55, Issue 12
Edge turbulence measurements in toroidal fusion devices
journal, June 2007
- Zweben, S. J.; Boedo, J. A.; Grulke, O.
- Plasma Physics and Controlled Fusion, Vol. 49, Issue 7
Experimental conditions to suppress edge localised modes by magnetic perturbations in the ASDEX Upgrade tokamak
journal, July 2018
- Suttrop, W.; Kirk, A.; Bobkov, V.
- Nuclear Fusion, Vol. 58, Issue 9
Controlling edge plasma rotation through poloidally localized refueling
journal, November 2003
- Helander, P.; Fülöp, T.; Catto, Peter J.
- Physics of Plasmas, Vol. 10, Issue 11
Poloidal asymmetry of parallel rotation measured in ASDEX Upgrade
journal, July 2012
- Pütterich, T.; Viezzer, E.; Dux, R.
- Nuclear Fusion, Vol. 52, Issue 8
Investigation of inter-ELM ion heat transport in the H-mode pedestal of ASDEX Upgrade plasmas
journal, October 2016
- Viezzer, E.; Fable, E.; Cavedon, M.
- Nuclear Fusion, Vol. 57, Issue 2
On scrape off layer plasma transport
journal, May 2001
- Krasheninnikov, S. I.
- Physics Letters A, Vol. 283, Issue 5-6
Evidence for electromagnetic fluid drift turbulence controlling the edge plasma state in the Alcator C-Mod tokamak
journal, November 2005
- LaBombard, B.; Hughes, J. W.; Mossessian, D.
- Nuclear Fusion, Vol. 45, Issue 12
Measurement of flow in the scrape-off layer of TdeV
journal, December 1992
- MacLatchy, C. S.; Boucher, C.; Poirier, D. A.
- Journal of Nuclear Materials, Vol. 196-198
Two-dimensional full particle simulation of the flow patterns in the scrape-off-layer plasma for upper- and lower-null point divertor configurations in tokamaks
journal, July 2009
- Takizuka, T.; Shimizu, K.; Hayashi, N.
- Nuclear Fusion, Vol. 49, Issue 7
Progress in tokamak research at MIT
journal, September 1985
- Parker, R. R.; Greenwald, M.; Luckhardt, S. C.
- Nuclear Fusion, Vol. 25, Issue 9
Asymmetric radiation-induced toroidal flow and improved confinement in tokamaks
journal, April 2006
- Singh, R.; Kaw, P. K.; Rogister, A. L.
- Physics of Plasmas, Vol. 13, Issue 4
Modeling of the parametric dependence of the edge toroidal rotation for MAST and ASDEX Upgrade
journal, June 2007
- Rozhansky, V.; Molchanov, P.; Voskoboynikov, S.
- Journal of Nuclear Materials, Vol. 363-365
Toroidal rotation and momentum transport
journal, July 1987
- Connor, J. W.; Cowley, S. C.; Hastie, R. J.
- Plasma Physics and Controlled Fusion, Vol. 29, Issue 7
A unified theory of transport barriers and of subneoclassical transport
journal, January 1999
- Rogister, André L.
- Physics of Plasmas, Vol. 6, Issue 1
Impurity toroidal rotation and transport in Alcator C-Mod ohmic high confinement mode plasmas
journal, May 2000
- Rice, J. E.; Goetz, J. A.; Granetz, R. S.
- Physics of Plasmas, Vol. 7, Issue 5
Toroidal rotation in DIII-D in electron cyclotron heating and Ohmic H-mode discharges
journal, September 2004
- deGrassie, J. S.; Burrell, K. H.; Baylor, L. R.
- Physics of Plasmas, Vol. 11, Issue 9
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
Advances in understanding the generation and evolution of the toroidal rotation profile on DIII-D
journal, July 2009
- Solomon, W. M.; Burrell, K. H.; Garofalo, A. M.
- Nuclear Fusion, Vol. 49, Issue 8
Toroidal rotation in RF heated JET plasmas
journal, March 2009
- Eriksson, L-G; Hellsten, T.; Nave, M. F. F.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 4
Toroidicity in the tokamak SOL: effects on poloidal asymmetries, radial current and the L - H transition
journal, November 1996
- Chankin, A. V.; Stangeby, P. C.
- Plasma Physics and Controlled Fusion, Vol. 38, Issue 11
Fluctuation measurements using a five-pin triple probe in the Joint European Torus boundary plasma
journal, October 2004
- Silva, C.; Gonçalves, B.; Hidalgo, C.
- Review of Scientific Instruments, Vol. 75, Issue 10
Main-Ion Intrinsic Toroidal Rotation Profile Driven by Residual Stress Torque from Ion Temperature Gradient Turbulence in the DIII-D Tokamak
journal, January 2017
- Grierson, B. A.; Wang, W. X.; Ethier, S.
- Physical Review Letters, Vol. 118, Issue 1
Experimental evidence of edge intrinsic momentum source driven by kinetic ion loss and edge radial electric fields in tokamaks
journal, September 2016
- Boedo, J. A.; deGrassie, J. S.; Grierson, B.
- Physics of Plasmas, Vol. 23, Issue 9
Observations of toroidal plasma rotation induced by ICRH in JET
journal, May 1992
- Eriksson, L. -G; Giannella, R.; Hellsten, T.
- Plasma Physics and Controlled Fusion, Vol. 34, Issue 5
A possible role of radial electric field in driving parallel ion flow in scrape-off layer of divertor tokamaks
journal, July 2007
- Chankin, A. V.; Coster, D. P.; Asakura, N.
- Nuclear Fusion, Vol. 47, Issue 8
Toroidal momentum transport in a tokamak caused by symmetry breaking parallel derivatives
journal, April 2013
- Sung, T.; Buchholz, R.; Casson, F. J.
- Physics of Plasmas, Vol. 20, Issue 4
The spatial structure of edge fluctuations in the Wendelstein 7-AS stellarator
journal, July 2002
- Bleuel, J.; Endler, M.; Niedermeyer, H.
- New Journal of Physics, Vol. 4
Convective transport by intermittent blob-filaments: Comparison of theory and experiment
journal, June 2011
- D’Ippolito, D. A.; Myra, J. R.; Zweben, S. J.
- Physics of Plasmas, Vol. 18, Issue 6
Radial current and flows in the scrape-off layer of a tokamak
journal, March 1999
- Van Schoor, M.; Weynants, R.
- Journal of Nuclear Materials, Vol. 266-269
Revisited neoclassical transport theory for steep, collisional plasma edge profiles
journal, July 1994
- Rogister, A. L.
- Plasma Physics and Controlled Fusion, Vol. 36, Issue 7A
Plasma rotation from momentum transport by neutrals in tokamaks
text, January 2016
- Omotani, John; Pusztai, István; Fülöp, Tünde
- arXiv
Edge Momentum Transport by Neutrals: an Interpretive Numerical Framework
text, January 2016
- Omotani, J. T.; Newton, S. L.; Pusztai, I.
- arXiv