Alfven Waves in Toroidal Plasmas

Slides:



Advertisements
Similar presentations
Evening Talk at EFTC-11 MAGNETIC GEOMETRY, PLASMA PROFILES AND STABILITY J W Connor UKAEA/EURATOM Fusion Association, Culham Science Centre, Abingdon,
Advertisements

Hefei, China/ August 2012 / 2nd LectureValentin Igochine 1 Physics and control of fast particle modes Valentin Igochine Max-Planck Institut für Plasmaphysik.
Lecture Series in Energetic Particle Physics of Fusion Plasmas Guoyong Fu Princeton Plasma Physics Laboratory Princeton University Princeton, NJ 08543,
West Lake International Symposium on Plasma Simulation; April, 2012 Influence of magnetic configuration on kinetic damping of the resistive wall.
TAE-EP Interaction in ARIES ACT-I K. Ghantous, N.N Gorelenkov PPPL ARIES Project Meeting,, 26 Sept
A Kinetic-Fluid Model for Studying Thermal and Fast Particle Kinetic Effects on MHD Instabilities C. Z. Cheng, N. Gorelenkov and E. Belova Princeton Plasma.
6 th ITPA MHD Topical Group Meeting combined with W60 IEA Workshop on Burning Plasmas Session II MHD Stability and Fast Particle Confinement General scope.
Cyclic MHD Instabilities Hartmut Zohm MPI für Plasmaphysik, EURATOM Association Seminar talk at the ‚Advanced Course‘ of EU PhD Network, Garching, September.
Non-Resonant Quasilinear Theory Non-Resonant Theory.
Lecture Series in Energetic Particle Physics of Fusion Plasmas
Energetic Particle Physics in Tokamak Plasmas Guoyong Fu Princeton Plasma Physics Laboratory Princeton University Princeton, NJ 08543, USA 6 th Workshop.
Kinetic Theories of Geodesic Acoustic Modes in Toroidal Plasmas Zhiyong Qiu, F. Zonca and L. Chen IFTS, May 2010.
M. Zuin 14th IEA RFP workshop, Padova, April, 26-28, 2010 Alfvén eigenmodes in RFX-mod M. Zuin, S. Spagnolo, E. Martines, B. Momo, R. Cavazzana, M. Spolaore,
INTRODUCTION OF WAVE-PARTICLE RESONANCE IN TOKAMAKS J.Q. Dong Southwestern Institute of Physics Chengdu, China International School on Plasma Turbulence.
Discrete Alfven Eigenmodes Shuang-hui Hu College of Sci, Guizhou Univ, Guiyang Liu Chen Dept of Phys & Astr, UC Irvine Supported by DOE and NSF.
Alpha-driven localized cyclotron modes in nonuniform magnetic field K. R. Chen Physics Department and Plasma and Space Science Center National Cheng Kung.
Modeling Generation and Nonlinear Evolution of Plasma Turbulence for Radiation Belt Remediation Center for Space Science & Engineering Research Virginia.
E.D. Fredrickson, a W.W. Heidbrink, b C.Z. Cheng, a N.N. Gorelenkov, a E. Belova, a A.W. Hyatt, c G.J. Kramer, a J. Manickam, a J. Menard, a R. Nazikian,
Fast ion effects on fishbones and n=1 kinks in JET simulated by a non-perturbative NOVA-KN code TH/5-2Rb N.N. Gorelenkov 1), C.Z.Cheng 1), V.G. Kiptily.
Phase Coherence on Open Field Lines Associated with FLRs Abiyu Nedie, Frances Fenrich & Robert Rankin University of Alberta Edmonton, Alberta, Canada 2011.
Solar Flare Particle Heating via low-beta Reconnection Dietmar Krauss-Varban & Brian T. Welsch Space Sciences Laboratory UC Berkeley Reconnection Workshop.
TH/3-1Ra Nonperturbative Effects of Energetic Ions on Alfvén Eigenmodes by Y. Todo et al. EX/5-4Rb Configuration Dependence of Energetic Ion Driven Alfven.
The Stability of Internal Transport Barriers to MHD Ballooning Modes and Drift Waves: a Formalism for Low Magnetic Shear and for Velocity Shear The Stability.
GSEP 3 rd Annual Project Meeting Zhihong Lin & US DOE SciDAC GSEP Team 8/9-8/10, 2010, GA.
D. Borba 1 21 st IAEA Fusion Energy Conference, Chengdu China 21 st October 2006 Excitation of Alfvén eigenmodes with sub-Alfvénic neutral beam ions in.
Computer simulations of fast frequency sweeping mode in JT-60U and fishbone instability Y. Todo (NIFS) Y. Shiozaki (Graduate Univ. Advanced Studies) K.
Nonlinear Frequency Chirping of Alfven Eigenmode in Toroidal Plasmas Huasen Zhang 1,2 1 Fusion Simulation Center, Peking University, Beijing , China.
Wave-Particle Interaction in Collisionless Plasmas: Resonance and Trapping Zhihong Lin Department of Physics & Astronomy University of California, Irvine.
J A Snipes, 6 th ITPA MHD Topical Group Meeting, Tarragona, Spain 4 – 6 July 2005 TAE Damping Rates on Alcator C-Mod Compared with Nova-K J A Snipes *,
Overview of MHD and extended MHD simulations of fusion plasmas Guo-Yong Fu Princeton Plasma Physics Laboratory Princeton, New Jersey, USA Workshop on ITER.
Hybrid Simulations of Energetic Particle-driven Instabilities in Toroidal Plasmas Guo-Yong Fu In collaboration with J. Breslau, J. Chen, E. Fredrickson,
TH/7-2 Radial Localization of Alfven Eigenmodes and Zonal Field Generation Z. Lin University of California, Irvine Fusion Simulation Center, Peking University.
The Role of Damping in Stable and Unstable Alfvén Eigenmodes S. D. Pinches 1, A. Könies 2, Ph. Lauber 1 H.L.Berk 3, S.E.Sharapov 4 and M.Gryaznavich 4.
Particle Distribution Modification by TAE mode and Resonant Particle Orbits POSTECH 1, NFRI 1,2 M.H.Woo 1, C.M.Ryu 1, T.N.Rhee 1,,2.
Challenging problems in kinetic simulation of turbulence and transport in tokamaks Yang Chen Center for Integrated Plasma Studies University of Colorado.
Excitation of ion temperature gradient and trapped electron modes in HL-2A tokamak The 3 th Annual Workshop on Fusion Simulation and Theory, Hefei, March.
HAGIS Code Lynton Appel … on behalf of Simon Pinches and the HAGIS users CCFE is the fusion research arm of the United Kingdom Atomic Energy Authority.
Alpha-driven localized cyclotron modes in nonuniform magnetic field as a challenging issue in resonance, relativity, and ITER K. R. Chen Plasma and Space.
Lecture Series in Energetic Particle Physics of Fusion Plasmas
Stability Properties of Field-Reversed Configurations (FRC) E. V. Belova PPPL 2003 International Sherwood Fusion Theory Conference Corpus Christi, TX,
(National Institute for Fusion Science, Japan)
Electron inertial effects & particle acceleration at magnetic X-points Presented by K G McClements 1 Other contributors: A Thyagaraja 1, B Hamilton 2,
Hybrid MHD-Gyrokinetic Simulations for Fusion Reseach G. Vlad, S. Briguglio, G. Fogaccia Associazione EURATOM-ENEA, Frascati, (Rome) Italy Introduction.
Lecture Series in Energetic Particle Physics of Fusion Plasmas Guoyong Fu Princeton Plasma Physics Laboratory Princeton University Princeton, NJ 08543,
Effects of Flow on Radial Electric Fields Shaojie Wang Department of Physics, Fudan University Institute of Plasma Physics, Chinese Academy of Sciences.
1 A Proposal for a SWIM Slow-MHD 3D Coupled Calculation of the Sawtooth Cycle in the Presence of Energetic Particles Josh Breslau Guo-Yong Fu S. C. Jardin.
Mitigation of Kink Modes in Pedestal Z. T. Wang 1,2, Z. X. He 1, J. Q. Dong 1, X. L. Xu 2 , M. L. Mu 2, T. T. Sun 2, J. Huang 2, S. Y. Chen 2, C. J. Tang.
Summary of IAEA Theory Papers on Energetic Particle Physics Guoyong Fu.
Simulations of NBI-driven Global Alfven Eigenmodes in NSTX E. V. Belova, N. N. Gorelenkov, C. Z. Cheng (PPPL) NSTX Results Forum, PPPL July 2006 Motivation:
Princeton Plasma Physics Laboratory Highlights of Theory Accomplishments and Plans Department of Energy Budget Planning Meeting March 13-15, 2001.
Turbulent Convection and Anomalous Cross-Field Transport in Mirror Plasmas V.P. Pastukhov and N.V. Chudin.
Helically Symmetry Configuration Evidence for Alfvénic Fluctuations in Quasi-Helically Symmetric HSX Plasmas C. Deng and D.L. Brower, University of California,
T. Hellsten IAEA TM Meeting on Energetic Particles, San Diego 2003 T. Hellsten 1, T. Bergkvist 1, T.Johnson 1, M. Laxåback 1 and L.-G. Eriksson 2 1 Euratom-VR.
Simulations of Energetic Particle Modes In Spherical Torus G.Y. Fu, J. Breslau, J. Chen, E. Fredrickson, S. Jardin, W. Park Princeton Plasma Physics Laboratory.
Nonlinear Simulations of Energetic Particle-driven Modes in Tokamaks Guoyong Fu Princeton Plasma Physics Laboratory Princeton, NJ, USA In collaboration.
Kinetic-Fluid Model for Modeling Fast Ion Driven Instabilities C. Z. Cheng, N. Gorelenkov and E. Belova Princeton Plasma Physics Laboratory Princeton University.
Energetic Particles Interaction with the Non-resonant Internal Kink in Spherical Tokamaks Feng Wang*, G.Y. Fu**, J.A. Breslau**, E.D. Fredrickson**, J.Y.
TH/7-1Multi-phase Simulation of Alfvén Eigenmodes and Fast Ion Distribution Flattening in DIII-D Experiment Y. Todo (NIFS, SOKENDAI) M. A. Van Zeeland.
FPT Discussions on Current Research Topics Z. Lin University of California, Irvine, California 92697, USA.
Evolution of the poloidal Alfven waves in 3D dipole geometry Jiwon Choi and Dong-Hun Lee School of Space Research, Kyung Hee University 5 th East-Asia.
Plasma Wave Excitation Regions in the Earth’s Global Magnetosphere
Field-Particle Correlation Experiments on DIII-D Frontiers Science Proposal Under weakly collisional conditions, collisionless interactions between electromagnetic.
Huishan Cai, Jintao Cao, Ding Li
Garching-Greifswald Ringberg Theory Meeting
Influence of energetic ions on neoclassical tearing modes
Stable TAE n Discrimination with Plasma Rotation
27th IAEA Fusion Energy Conference, October 2018, Gandhinagar, India
Stabilization of m/n=1/1 fishbone by ECRH
Alfven Oscillations in the TUMAN-3M Tokamak Ohmic Regime
Alfvén eigenmodes (AE) degrade fast-ion confinement in high βN, steady-state scenarios W.W. (Bill) Heidbrink1 with J. Ferron,2 C. Holcomb,3 M. Van Zeeland2,
Presentation transcript:

Alfven Waves in Toroidal Plasmas Summer School 2007, Chengdu Alfven Waves in Toroidal Plasmas S. Hu College of Science, GZU Supported by NSFC

Outline Introduction to Alfven waves Alfven waves in tokamaks Toroidicity-induced Alfven Eigenmodes (TAE) Energetic-particle modes (EPM) Discrete Alfven eigenmodes ( TAE) Summary

Introduction to Alfven Waves Basic pictures of Alfven waves Importance of Alfven waves Alfven waves in nonuniform plasmas Shear modes vs. compressional modes

Alfven Waves (Shear Modes)

Alfven Waves & Energetic Particles Importance in Fusion Studies: The Alfven frequencies are comparable to the characteristic frequencies of energetic / alpha particles in heating / ignition experiments. Basic Waves in Space Investigations: The Alfven waves widely exist in space, e.g., the Earth’s magnetosphere, the solar-terrestrial region, and so on. The interactions between the Alfven waves and the energetic particles also play important roles in physical understandings.

Alfven Waves

Alfven Waves (Compressional Modes)

Alfven Waves in Tokamaks Basic equations Ballooning formalism Shear Alfven equation The s- diagram [ Lee and Van Dam, 1977 Connor, Hastie, Taylor, 1978 ]

Basic Equations

Ballooning Formalism

Shear Alfven Equation

The s- Diagram First ballooning-mode stable regime (with the low pressure-gradient) Ballooning-mode unstable regime (with pressure-gradient inbetween) Second ballooning-mode stable regime (with the high pressure-gradient)

TAE Localized and extended potentials Alfven continuum and frequency gap Toroidicity-induced Alfven eigenmodes TAE features [ Cheng, Chen, Chance, AoP, 1985 ]

Localized and Extended Potentials

Alfven Frequency Spectrum

Toroidal Alfven Eigenmodes

TAE Features Existence of the Alfven frequency gap due to the finite-toroidicity coupling between the neighboring poloidal harmonics. Existence of eigenmodes with their frequencies located inside the Alfven frequency gap. These modes experience negligible damping due to their frequencies decoupled from the continuum spectrum.

EPM Gyro-kinetic equation Vorticity equation Wave-particle resonances EPM features [ Chen, PoP, 1994 ]

Gyro-Kinetic Equation

Gyro-Kinetic Equation (cont.)

Vorticity Equation

Vorticity Equation (cont.)

Wave-Particle Resonances

EPM Features The Alfven modes gain energy by resonant interactions between Alfven waves and energetic particles. The mode frequencies are characterized by the typical frequencies of energetic particles via the wave-particle resonance conditions. The gained energy can overcome the continuum damping.

TAE Theoretical model Bound states in the second ballooning-mode stable regime Basic features Kinetic excitations [ Hu and Chen, PoP, 2004 ]

Theoretical Model

Basic Equations

Some Definitions

TAE Features Existence of potential wells due to ballooning curvature drive. Bound states of Alfven modes trapped in the MHD potential wells. The trapped feature decouples the discrete Alfven eigenmodes from the continuum spectrum.

Summary Introduction to shear Alfven waves in tokamaks and their interaction with energetic particles. Discussions on the toroidicity-induced Alfven eigenmode (TAE), the energetic-particle continuum mode (EPM), as well as the discrete Alfven eigenmode ( TAE).

Alpha-TAE vs. EPM/TAE alpha-TAE: Bound states in the potential wells due to the ballooning drive. EPM: Frequencies determined by the wave-particle resonance conditions. TAE: Frequencies located inside the toroidal Alfven frequency gap.