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Zhu P, Li L, Fang Y, He Y, Wang S, Han R, Liu Y, Wang X, Zhang Y, Zhang X, Yu Q, Hu L, Wang H, Sun Y, Wei L, Tang W, Liu T, Wang Z, Yan X, Huang W, Hou Y, Ji X, Zeng S, Abdullah Z, Chen Z, Zeng L, Li H, Chen Z, Wang Z, Rao B, Zhang M, Ding Y, Pan Y. MHD Analysis on the Physics Design of CFETR Baseline Scenarios. JOURNAL OF FUSION ENERGY 2022. [DOI: 10.1007/s10894-022-00323-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Kim K, Park JK, Boozer AH. Numerical verification of bounce-harmonic resonances in neoclassical toroidal viscosity for tokamaks. PHYSICAL REVIEW LETTERS 2013; 110:185004. [PMID: 23683209 DOI: 10.1103/physrevlett.110.185004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/16/2012] [Indexed: 06/02/2023]
Abstract
This Letter presents the first numerical verification for the bounce-harmonic (BH) resonance phenomena of the neoclassical transport in a tokamak perturbed by nonaxisymmetric magnetic fields. The BH resonances were predicted by analytic theories of neoclassical toroidal viscosity (NTV), as the parallel and perpendicular drift motions can be resonant and result in a great enhancement of the radial momentum transport. A new drift-kinetic δf guiding-center particle code, POCA, clearly verified that the perpendicular drift motions can reduce the transport by phase-mixing, but in the BH resonances the motions can form closed orbits and particles radially drift out fast. The POCA calculations on resulting NTV torque are largely consistent with analytic calculations, and show that the BH resonances can easily dominate the NTV torque when a plasma rotates in the perturbed tokamak and therefore, is a critical physics for predicting the rotation and stability in the International Thermonuclear Experimental Reactor.
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Affiliation(s)
- Kimin Kim
- Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, USA.
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Cole AJ, Callen JD, Solomon WM, Garofalo AM, Hegna CC, Lanctot MJ, Reimerdes H. Observation of peak neoclassical toroidal viscous force in the DIII-D tokamak. PHYSICAL REVIEW LETTERS 2011; 106:225002. [PMID: 21702606 DOI: 10.1103/physrevlett.106.225002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/21/2010] [Indexed: 05/31/2023]
Abstract
Observation of a theoretically predicted peak in the neoclassical toroidal viscosity (NTV) force as a function of toroidal plasma rotation rate Ω is reported. The NTV was generated by applying n=3 magnetic fields from internal coils to low Ω plasmas produced with nearly balanced neutral beam injection. Locally, the peak corresponds to a toroidal rotation rate Ω(0) where the radial electric field E(r) is near zero as determined by radial ion force balance.
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Affiliation(s)
- A J Cole
- University of Wisconsin, Madison, Wisconsin 53706-1609, USA
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Hegna CC, Callen JD, Cole AJ. Rotation Properties of Tokamak Plasmas. FUSION SCIENCE AND TECHNOLOGY 2011. [DOI: 10.13182/fst11-a11705] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- C. C. Hegna
- University of Wisconsin, Department of Engineering Physics, Madison, Wisconsin 53706
| | - J. D. Callen
- University of Wisconsin, Department of Engineering Physics, Madison, Wisconsin 53706
| | - A. J. Cole
- University of Wisconsin, Department of Engineering Physics, Madison, Wisconsin 53706
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Sun Y, Liang Y, Shaing KC, Koslowski HR, Wiegmann C, Zhang T. Neoclassical toroidal plasma viscosity torque in collisionless regimes in tokamaks. PHYSICAL REVIEW LETTERS 2010; 105:145002. [PMID: 21230838 DOI: 10.1103/physrevlett.105.145002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2010] [Indexed: 05/30/2023]
Abstract
Bumpiness in a magnetic field enhances the magnitude of the plasma viscosity and increases the rate of the plasma flow damping. A general solution of the neoclassical toroidal plasma viscosity (NTV) torque induced by nonaxisymmetric magnetic perturbation (NAMP) in the collisionless regimes in tokamaks is obtained in this Letter. The plasma angular momentum can be strongly changed, when there is a small deviation of the toroidal symmetry caused by a NAMP of the order of 0.1% of the toroidal field strength.
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Affiliation(s)
- Y Sun
- Institute for Energy Research-Plasma Physics, Forschungszentrum Jülich, Association EURATOM-FZJ, Trilateral Euregio Cluster, 52425 Jülich, Germany.
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Nave MFF, Johnson T, Eriksson LG, Crombé K, Giroud C, Mayoral ML, Ongena J, Salmi A, Tala T, Tsalas M. Influence of magnetic field ripple on the intrinsic rotation of tokamak plasmas. PHYSICAL REVIEW LETTERS 2010; 105:105005. [PMID: 20867528 DOI: 10.1103/physrevlett.105.105005] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/05/2010] [Indexed: 05/29/2023]
Abstract
Using the unique capability of JET to monotonically change the amplitude of the magnetic field ripple, without modifying other relevant equilibrium conditions, the effect of the ripple on the angular rotation frequency of the plasma column was investigated under the conditions of no external momentum input. The ripple amplitude was varied from 0.08% to 1.5% in Ohmic and ion-cyclotron radio-frequency (ICRF) heated plasmas. In both cases the ripple causes counterrotation, indicating a strong torque due to nonambipolar transport of thermal ions and in the case of ICRF also fast ions.
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Affiliation(s)
- M F F Nave
- Associação EURATOM/IST, Instituto de Plasmas e Fusão Nuclear-Laboratorio Associado, Lisbon, Portugal
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McDevitt CJ, Diamond PH, Gürcan OD, Hahm TS. Toroidal rotation driven by the polarization drift. PHYSICAL REVIEW LETTERS 2009; 103:205003. [PMID: 20365987 DOI: 10.1103/physrevlett.103.205003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/13/2009] [Indexed: 05/29/2023]
Abstract
Starting from a phase space conserving gyrokinetic formulation, a systematic derivation of parallel momentum conservation uncovers a novel mechanism by which microturbulence may drive intrinsic rotation. This mechanism, which appears in the gyrokinetic formulation through the parallel nonlinearity, emerges due to charge separation induced by the polarization drift. The derivation and physical discussion of this mechanism will be pursued throughout this Letter.
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Affiliation(s)
- C J McDevitt
- Center for Astrophysics and Space Sciences and Department of Physics, University of California at San Diego, La Jolla, California 92093-0424, USA.
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Wade M. Physics and engineering issues associated with edge localized mode control in ITER. FUSION ENGINEERING AND DESIGN 2009. [DOI: 10.1016/j.fusengdes.2009.01.063] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Garofalo AM, Burrell KH, DeBoo JC, deGrassie JS, Jackson GL, Lanctot M, Reimerdes H, Schaffer MJ, Solomon WM, Strait EJ. Observation of plasma rotation driven by static nonaxisymmetric magnetic fields in a tokamak. PHYSICAL REVIEW LETTERS 2008; 101:195005. [PMID: 19113280 DOI: 10.1103/physrevlett.101.195005] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/2008] [Indexed: 05/27/2023]
Abstract
We present the first evidence for the existence of a neoclassical toroidal rotation driven in a direction counter to the plasma current by nonaxisymmetric, nonresonant magnetic fields. At high beta and with large injected neutral beam momentum, the nonresonant field torque slows down the plasma toward the neoclassical "offset" rotation rate. With small injected neutral beam momentum, the toroidal rotation is accelerated toward the offset rotation, with resulting improvement in the global energy confinement time. The observed magnitude, direction, and radial profile of the offset rotation are consistent with neoclassical theory predictions.
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Affiliation(s)
- A M Garofalo
- General Atomics, P.O. Box 85608, San Diego, California 92186-5608, USA
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