Energetic particle modes: from bump on tail to tokamak plasmas
|
|
- Ethelbert Newman
- 6 years ago
- Views:
Transcription
1 Energetic particle modes: from bump on tail to tokamak plasmas M. K. Lilley 1 B. N. Breizman 2, S. E. Sharapov 3, S. D. Pinches 3 1 Physics Department, Imperial College London, London, SW7 2AZ, UK 2 IFS, University of Texas at Austin, Austin, Texas, 78712, USA 3 EURATOM/UKAEA Fusion Association, Culham Science Centre, Abingdon, OX14 3DB, UK Page 1 Imperial College London
2 Outline Experimental observations Marginal stability and the role of collisions Bump-on-tail model including drag Generalisation to toroidal systems Page 2 Imperial College London
3 Experimental observations Page 3 Imperial College London
4 Question: Why disparity between NBI and ICRH? ICRH drive (JET) NBI drive (MAST) Increasing ICRH power Heeter et.al PRL 85, 3177 (2000) Pinches et.al PPCF, 46, S47 (2004) Page 4
5 Marginal stability and the role of collisions Page 5 Imperial College London
6 Marginal stability System evolves through a threshold, L d L d P H Page 6 Imperial College London r
7 Collisionality - previous analysis Marginal stability allows collisions to compete with mode growth ~ L Krook and diffusion were studied in bump on tail d eff df dt coll F F 0 df dt F F coll k v v eff max, Page 7 Imperial College London Berk, Breizman et.al PRL, 76, 1256 (1996) Breizman, Berk et.al PoP, (1997)
8 Bump on tail - Basic ingredients F 0 Particle injection and effective collisions, eff, create an inverted distribution of energetic particles F 0 (v) Discrete spectrum of unstable electrostatic modes Instability drive, L ~ df 0 /dv, due to wave-particle resonance (ωkv=0) Background dissipation rate, d, determines the critical gradient for the instability Critical slope L= d kv-ω B kx- ωt Page 8 v=ω/k v Separatrix
9 Collisionality affects mode saturation ˆ L d? Heeter et.al PRL, 85, 3177 (2000) Page 9 Imperial College London
10 Low collisionality Frequency chirping δω~ t Page 10
11 kv-ω Frequency chirping Holes and Clumps Slowly accelerating trapped particles release energy that balances dissipation δω~ t Page 11 kx-ωt
12 Low collisionality Frequency chirping δω~ t? Collisionality not low enough to explain MAST Page 12
13 Yet another collisional effect to analyse NBI-produced fast ions slow down due to electron drag Dynamical friction (drag) should be included df dt 2 F F coll k v v Could this explain the bursting behaviour? 0 Page 13 Imperial College London
14 Bump-on-tail model including drag Page 14 Imperial College London
15 Bump on tail - formalism Linear cold background with sinusoidal field E V e E cv t m Kinetic fast particle population F F e k ˆ i F df u E t e c.c. t 2m u dt 1 ˆ i E te c.c. 2 kx t ukv F F0 f0 f exp.. n 1 n in c c coll Current from cold background obtained perturbatively using smallness of wave growth and dissipation Page 15 Eˆ e f ˆ 2 1du d E t k 0 d c /2
16 Near threshold ordering Perturbative approach applied time scales shorter than non-linear bounce period of the wave ω -1 B 2 ekeˆ / m B Can be maintained indefinitely if collision frequency is much larger than bounce frequency Marginal stability allows truncation of expansion at cubic order in wave amplitude Page 16 Eˆ t Imperial College London ˆ 2 ˆ ˆ 3 d ~ E 1 c E E L
17 Mode evolution equation Normalised wave equation. First term gives exponential growth, second term is cubic nonlinearity /2 2z da ˆ 2 /3 ˆ2 ˆ A dz z A z dxe z z x zx i zzx d 2 ˆ - Diffusion coefficient 0 0 A z x A 2z x * ˆ ˆ - Krook coefficient - Drag coefficient Drag gives oscillatory behaviour, in contrast to the Krook and diffusive cases. Page 17 Imperial College London
18 Sign of cubic nonlinearity First term leads to exponential growth, we must have a negative second term to have saturation. /2 2z da ˆ 2 /3 ˆ2 ˆ A dz z A z dxe z z x zx i zzx d A z x A 2z x * For Krook and diffusion Sign can only flip for low collisionality For drag The oscillatory nature allows the sign to flip often Page 18 Imperial College London
19 Diffusion + drag For diffusion drag steady state solutions do exist For an appreciable amount of drag these solutions become unstable (pitch fork splitting etc.) Explosive solutions again when drag dominates Page 19 Imperial College London Lilley et.al PRL, 102, (2009)
20 Collisionality affects mode saturation This was only a perturbative analysis (cubic order in E) Fully non-linear treatment requires numerical techniques Techniques should take advantage of separation of times scales i.e. Use BOT code: Fourier space code that runs in a couple of minutes on a laptop What happens in the explosive regime? Page 20
21 Pure drag Page 21
22 Pure drag No steady state Holes grow Clumps die Page 22 Lilley et.al PoP, 17, (2010)
23 Pure drag Growing holes Drag collision operator has a slowing down force and a sink 2 df dt F F coll k v v Slowing down + sink returns distribution to equilibrium E field however can hold the hole in place working against slowing down force Sink still acts to lower F deeper hole over time Deeper hole larger density perturbation larger E 0 Page 23
24 Now add some diffusion Page 24
25 Drag + diffusion Steady state hole Page 25 Lilley et.al PoP, 17, (2010)
26 Add a bit more diffusion Page 26
27 Drag + diffusion Undulating frequency Page 27 Lilley et.al PoP, 17, (2010)
28 Keep adding diffusion Page 28
29 Drag + diffusion Hooked frequency chirp BOT Hooked frequency chirp seen in BOT Also seen in MAST (NBI) and JET (ICRH) Page 29 MAST (NBI) JET (ICRH)
30 Drag + diffusion Hooked frequency chirp Page 30 Hooks for the holes, clumps die sooner Lilley et.al PoP, 17, (2010)
31 Drag Diffusion competition Page 31 F ~ F g 0 Power balance Poisson Equation g t 4 2 g d B L B t 3 g t 2 B L B g Diffusion fills, chirping and drag deepen 2 B 2
32 0-D Equations Page y x y xy y y a x x=y=1 is steady state Unstable for a<1 Stable for a>1 Lilley et.al PoP, 17, (2010)
33 Generalisation to toroidal systems Page 33 Imperial College London
34 Toroidal systems A first glance (low freq.) Phase space resonance is more sophisticated u kv 0 Location of resonance varies n P, E p P, E 0 P φ Page 34 E Imperial College London Resonance Motion across resonance Motion due to wave E p n const. Breizman et.al PoP, 4, 1559 (1997) Chirikov Phys. Rep (1979)
35 Toroidal systems Reduction to 1-D model (low freq.) Particle motion along resonance does not lead to large gradients in F, so neglect them Need projection of motion and collisions across resonance P φ Page 35 E Imperial College London Resonance Motion across resonance Motion due to wave E p n const. Breizman et.al PoP, 4, 1559 (1997) Chirikov Phys. Rep (1979)
36 Toroidal systems Reduction to 1-D model (low freq.) Transform to coordinates that straighten resonance Motion across the resonance 1-D for given E and μ Must integrate over all E and μ to get the result Ω 0 Resonance Motion across resonance Motion due to wave n P, E p P, E 0 Page 36 E Imperial College London Breizman et.al PoP, 4, 1559 (1997) Chirikov Phys. Rep (1979)
37 Experimental estimate for MAST and ITER 3/4 1/6 T ~ e n e B TAE 5/6 TAE 0 Drag vs diffusion depends on plasma parameters TAE TAE MAST - beams - Drag can dominate explosive Page 37 TAE TAE 1.4 Imperial College London ITER alphas drag and diffusion comparable Lilley et.al PRL, 102, (2009)
38 Drag in toroidal systems HAGIS HAGIS shows symmetric chirp without collisions HAGIS shows hooking tendency with drag and Krook collisions Page 38
39 Conclusions and future work Drag is destabilising and acts as a seed for energetic particle modes Drag gives asymmetry as a lowest order effect, giving steady state holes and hooks Possible explanation of NBI vs. ICRH TAE observations Experiments underway (ITPA) to get drag/difusion database HAGIS now includes drag Page 39 Imperial College London
40 BOT Code from your work Please give your name, institution and your position It is free for you to use, modify and also distribute, but I encourage others to contact me for the code so that I can send updates as they become available Page 40
Nonlinear evolution of beam driven waves on MAST
Nonlinear evolution of eam driven waves on MAST M. K. illey, M. isak Department of Earth and Space Sciences, Chalmers University of Technology, 4196 Göteorg, Sweden, email: matthew.lilley@chalmers.se B.
More informationEffects of drag and diffusion on nonlinear behavior of EP-driven instabilities.
IAEA-TM EP 2011 / 09 / 07 Effects of drag and diffusion on nonlinear behavior of EP-driven instabilities. Maxime Lesur Y. Idomura, X. Garbet, P. Diamond, Y. Todo, K. Shinohara, F. Zonca, S. Pinches, M.
More informationNonlinear Consequences of Weakly Driven Energetic Particle Instabilities
2008 International Sherwood Fusion Theory Conference March 30 - April 2, 2008, Boulder, Colorado Nonlinear Consequences of Weakly Driven Energetic Particle Instabilities Boris Breizman Institute for Fusion
More informationModelling of Frequency Sweeping with the HAGIS code
Modelling of Frequency Sweeping with the HAGIS code S.D.Pinches 1 H.L.Berk 2, S.E.Sharapov 3, M.Gryaznavich 3 1 Max-Planck-Institut für Plasmaphysik, EURATOM Assoziation, Garching, Germany 2 Institute
More informationENERGETIC PARTICLES AND BURNING PLASMA PHYSICS
ENERGETIC PARTICLES AND BURNING PLASMA PHYSICS Reported by J. Van Dam Institute for Fusion Studies The University of Texas at Austin US-Japan JIFT Workshop on Theory-Based Modeling and Integrated Simulation
More informationSpectroscopic determination of the internal amplitude of frequency sweeping TAE
INSTITUTE OF PHYSICS PUBLISHING Plasma Phys. Control. Fusion 46 (2004) S47 S57 PLASMA PHYSICS AND CONTROLLED FUSION PII: S0741-3335(04)72680-9 Spectroscopic determination of the internal amplitude of frequency
More informationSpectroscopic Determination of the Internal Amplitude of Frequency Sweeping TAE
EFDA JET PR(3)58 S.D. Pinches, H.L. Berk, M.P. Gryaznevich, S.E. Sharapov and JET EFDA contributors Spectroscopic Determination of the Internal Amplitude of Frequency Sweeping TAE . Spectroscopic Determination
More information27th IAEA Fusion Energy Conference Ahmedabad, India. October 22 27, 2018
Advances in Runaway Electron Control and Model Validation for ITER by C. Paz-Soldan1 with contributions from: N. Eidietis,1 E. Hollmann,2 A. Lvovskiy,3 C. Cooper,3 J. Herfindal,4 R. Moyer,2 D. Shiraki,4
More informationExcitation of Alfvén eigenmodes with sub-alfvénic neutral beam ions in JET and DIII-D plasmas
Excitation of Alfvén eigenmodes with sub-alfvénic neutral beam ions in JET and DIII-D plasmas D. Borba 1,9, R. Nazikian 2, B. Alper 3, H.L. Berk 4, A. Boboc 3, R.V. Budny 2, K.H. Burrell 5, M. De Baar
More informationNonlinear MHD effects on TAE evolution and TAE bursts
Nonlinear MHD effects on TAE evolution and TAE bursts Y. Todo (NIFS) collaborating with H. L. Berk and B. N. Breizman (IFS, Univ. Texas) GSEP 3rd Annual Meeting (remote participation / Aug. 9-10, 2010)
More informationTheoretical interpretation of frequency sweeping observations in the Mega-Amp Spherical Tokamak
PHYSICS OF PLASMAS 12, 032501 2005 Theoretical interpretation of frequency sweeping observations in the Mega-Amp Spherical Tokamak R. G. L. Vann Department of Physics, University of Warwick, Coventry CV4
More informationGyrokinetic Transport Driven by Energetic Particle Modes
Gyrokinetic Transport Driven by Energetic Particle Modes by Eric Bass (General Atomics) Collaborators: Ron Waltz, Ming Chu GSEP Workshop General Atomics August 10, 2009 Outline I. Background Alfvén (TAE/EPM)
More informationSimulation Study of Interaction between Energetic Ions and Alfvén Eigenmodes in LHD
1 Simulation Study of Interaction between Energetic Ions and Alfvén Eigenmodes in LHD Y. Todo 1), N. Nakajima 1), M. Osakabe 1), S. Yamamoto 2), D. A. Spong 3) 1) National Institute for Fusion Science,
More informationInterpretation of Mode Frequency Sweeping in JET and NSTX
1 Interpretation of Mode Frequency Sweeping in JET and NSTX H. L. Berk 1, C. J. Boswell, D. Borba 3,4, B. N. Breizman 1, A. C. A. Figueiredo 3, E. D. Fredrickson 5, N. N. Gorelenkov 5, R. W. Harvey 6,
More informationBounce-averaged gyrokinetic simulations of trapped electron turbulence in elongated tokamak plasmas
Bounce-averaged gyrokinetic simulations of trapped electron turbulence in elongated tokamak plasmas Lei Qi a, Jaemin Kwon a, T. S. Hahm a,b and Sumin Yi a a National Fusion Research Institute (NFRI), Daejeon,
More informationPredictions of fusion α-particle transport due to Alfvén eigenmodes in ITER
Predictions of fusion α-particle transport due to Alfvén eigenmodes in ITER M. Fitzgerald, S.E. Sharapov, P. Rodrigues 2, A. Polevoi 3, D. Borba 2 2 Instituto de Plasmas e Fusão Nuclear, Instituto Superior
More informationAnalysis and modelling of MHD instabilities in DIII-D plasmas for the ITER mission
Analysis and modelling of MHD instabilities in DIII-D plasmas for the ITER mission by F. Turco 1 with J.M. Hanson 1, A.D. Turnbull 2, G.A. Navratil 1, C. Paz-Soldan 2, F. Carpanese 3, C.C. Petty 2, T.C.
More informationPlasma instabilities. Dr Ben Dudson, University of York 1 / 37
Plasma instabilities Dr Ben Dudson, University of York 1 / 37 Previously... Plasma configurations and equilibrium Linear machines, and Stellarators Ideal MHD and the Grad-Shafranov equation Collisional
More informationFast Particle Instabilities in MAST
1 EX/P8-7 Fast Particle Instabilities in MAST S.D. Pinches 1), L.C. Appel 1), I.T. Chapman 1), G. Cunningham 1), D. Dunai 2), M.P. Gryaznevich 1), A.R. Field 1), M.J. Hole 3), D.F. Howell 1), M.-D. Hua
More informationArbiTER studies of filamentary structures in the SOL of spherical tokamaks
ArbiTER studies of filamentary structures in the SOL of spherical tokamaks D. A. Baver, J. R. Myra, Research Corporation F. Scotti, Lawrence Livermore National Laboratory S. J. Zweben, Princeton Plasma
More informationRole of Magnetic Configuration and Heating Power in ITB Formation in JET.
Role of Magnetic Configuration and Heating Power in ITB Formation in JET. The JET Team (presented by V. Parail 1 ) JET Joint Undertaking, Abingdon, Oxfordshire, United Kingdom 1 present address: EURATOM/UKAEA
More informationObservation of modes at frequencies above the Alfvén frequency in JET
Observation of modes at frequencies above the Alfvén frequency in JET F. Nabais 1, D. Borba 1, R. Coelho 1, L. Fazendeiro 1, J. Ferreira 1, A. Figueiredo 1, L. Fitzgerald 2, P. Rodrigues 1, S. Sharapov
More informationRWM Control Code Maturity
RWM Control Code Maturity Yueqiang Liu EURATOM/CCFE Fusion Association Culham Science Centre Abingdon, Oxon OX14 3DB, UK Work partly funded by UK EPSRC and EURATOM. The views and opinions expressed do
More informationTheory for Neoclassical Toroidal Plasma Viscosity in a Toroidally Symmetric Torus. K. C. Shaing
Theory for Neoclassical Toroidal Plasma Viscosity in a Toroidally Symmetric Torus K. C. Shaing Plasma and Space Science Center, and ISAPS, National Cheng Kung University, Tainan, Taiwan 70101, Republic
More informationTAE induced alpha particle and energy transport in ITER
TAE induced alpha particle and energy transport in ITER K. Schoepf 1, E. Reiter 1,2, T. Gassner 1 1 Institute for Theoretical Physics, University of Innsbruck, Technikerstr. 21a, 6020 Innsbruck, Austria;
More informationMHD instabilities and fast particles
ENEA F. Zonca 1 MHD instabilities and fast particles Fulvio Zonca Associazione Euratom-ENEA sulla Fusione, C.R. Frascati, C.P. 65-44 - Frascati, Italy. July 11.th, 25 : Turbulence overshoot and resonant
More informationImpact of Localized ECRH on NBI and ICRH Driven Alfven Eigenmodes in the ASDEX Upgrade Tokamak
Impact of Localized ECRH on NBI and ICRH Driven Alfven Eigenmodes in the ASDEX Upgrade Tokamak M. Garcia-Munoz M. A. Van Zeeland, S. Sharapov, Ph. Lauber, J. Ayllon, I. Classen, G. Conway, J. Ferreira,
More informationBerk-Breizman and diocotron instability testcases
Berk-Breizman and diocotron instability testcases M. Mehrenberger, N. Crouseilles, V. Grandgirard, S. Hirstoaga, E. Madaule, J. Petri, E. Sonnendrücker Université de Strasbourg, IRMA (France); INRIA Grand
More informationExperimental Evidence of Inward Momentum Pinch on JET and Comparison with Theory
Experimental Evidence of Inward Momentum Pinch on JET and Comparison with Theory Tuomas Tala, Association Euratom-Tekes, VTT, Finland JET-EFDA Culham Science Centre Abingdon, UK 22nd IAEA Fusion Energy
More informationEdge Rotational Shear Requirements for the Edge Harmonic Oscillation in DIII D Quiescent H mode Plasmas
Edge Rotational Shear Requirements for the Edge Harmonic Oscillation in DIII D Quiescent H mode Plasmas by T.M. Wilks 1 with A. Garofalo 2, K.H. Burrell 2, Xi. Chen 2, P.H. Diamond 3, Z.B. Guo 3, X. Xu
More informationELMs and Constraints on the H-Mode Pedestal:
ELMs and Constraints on the H-Mode Pedestal: A Model Based on Peeling-Ballooning Modes P.B. Snyder, 1 H.R. Wilson, 2 J.R. Ferron, 1 L.L. Lao, 1 A.W. Leonard, 1 D. Mossessian, 3 M. Murakami, 4 T.H. Osborne,
More informationHigh fusion performance at high T i /T e in JET-ILW baseline plasmas with high NBI heating power and low gas puffing
High fusion performance at high T i /T e in JET-ILW baseline plasmas with high NBI heating power and low gas puffing Hyun-Tae Kim, A.C.C. Sips, C. D. Challis, F. Rimini, L. Garzotti, E. Lerche, L. Frassinetti,
More informationHeating and current drive: Radio Frequency
Heating and current drive: Radio Frequency Dr Ben Dudson Department of Physics, University of York Heslington, York YO10 5DD, UK 13 th February 2012 Dr Ben Dudson Magnetic Confinement Fusion (1 of 26)
More informationDirect drive by cyclotron heating can explain spontaneous rotation in tokamaks
Direct drive by cyclotron heating can explain spontaneous rotation in tokamaks J. W. Van Dam and L.-J. Zheng Institute for Fusion Studies University of Texas at Austin 12th US-EU Transport Task Force Annual
More informationModelling Toroidal Rotation Damping in ITER Due to External 3D Fields
CCFE-PR(15)1 Yueqiang Liu, R. Akers, I.T. Chapman, Y. Gribov, G.Z. Hao, G.T.A. Huijsmans, A. Kirk, A. Loarte, S.D. Pinches, M. Reinke, D. Ryan, Y. Sun, and Z.R. Wang Modelling Toroidal Rotation Damping
More informationLinear and Nonlinear Oscillators (Lecture 2)
Linear and Nonlinear Oscillators (Lecture 2) January 25, 2016 7/441 Lecture outline A simple model of a linear oscillator lies in the foundation of many physical phenomena in accelerator dynamics. A typical
More informationNonlinear hydrid simulations of precessional Fishbone instability
Nonlinear hydrid simulations of precessional Fishbone instability M. Faganello 1, M. Idouakass 1, H. L. Berk 2, X. Garbet 3, S. Benkadda 1 1 Aix-Marseille University, CNRS, PIIM UMR 7345, Marseille, France
More informationarxiv:physics/ v1 [physics.plasm-ph] 5 Nov 2004
Ion Resonance Instability in the ELTRAP electron plasma G. Bettega, 1 F. Cavaliere, 2 M. Cavenago, 3 A. Illiberi, 1 R. Pozzoli, 1 and M. Romé 1 1 INFM Milano Università, INFN Sezione di Milano, Dipartimento
More informationMHD Analysis of the Tokamak Edge Pedestal in the Low Collisionality Regime Thoughts on the Physics of ELM-free QH and RMP Discharges
MHD Analysis of the Tokamak Edge Pedestal in the Low Collisionality Regime Thoughts on the Physics of ELM-free QH and RMP Discharges P.B. Snyder 1 Contributions from: H.R. Wilson 2, D.P. Brennan 1, K.H.
More informationMHD-particle simulations and collective alpha-particle transport: analysis of ITER scenarios and perspectives for integrated modelling
MHD-particle simulations and collective alpha-particle transport: analysis of ITER scenarios and perspectives for integrated modelling G. Vlad, S. Briguglio, G. Fogaccia, F. Zonca Associazione Euratom-ENEA
More informationTURBULENT TRANSPORT THEORY
ASDEX Upgrade Max-Planck-Institut für Plasmaphysik TURBULENT TRANSPORT THEORY C. Angioni GYRO, J. Candy and R.E. Waltz, GA The problem of Transport Transport is the physics subject which studies the physical
More informationStability Properties of Toroidal Alfvén Modes Driven. N. N. Gorelenkov, S. Bernabei, C. Z. Cheng, K. Hill, R. Nazikian, S. Kaye
Stability Properties of Toroidal Alfvén Modes Driven by Fast Particles Λ N. N. Gorelenkov, S. Bernabei, C. Z. Cheng, K. Hill, R. Nazikian, S. Kaye Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton,
More informationEnergetic-Ion-Driven MHD Instab. & Transport: Simulation Methods, V&V and Predictions
Energetic-Ion-Driven MHD Instab. & Transport: Simulation Methods, V&V and Predictions 7th APTWG Intl. Conference 5-8 June 2017 Nagoya Univ., Nagoya, Japan Andreas Bierwage, Yasushi Todo 14.1MeV 10 kev
More informationEUROFUSION WPJET1-PR(16) CG Albert et al.
EUROFUSION WPJET1-PR(16) 15331 CG Albert et al. Hamiltonian approach for evaluation of toroidal torque from finite amplitude non-axisymmetric perturbations of a tokamak magnetic field in resonant transport
More informationGyrokinetic Microtearing Studies
1 Gyrokinetic Microtearing Studies C M Roach summarising work involving many collaborators: D J Applegate 0, JW Connor, S C Cowley, D Dickinson 1, W Dorland 2, R J Hastie, S Saarelma, A A Schekochihin
More informationActive and Fast Particle Driven Alfvén Eigenmodes in Alcator C-Mod
Active and Fast Particle Driven Alfvén Eigenmodes in Alcator C-Mod JUST DID IT. J A Snipes, N Basse, C Boswell, E Edlund, A Fasoli #, N N Gorelenkov, R S Granetz, L Lin, Y Lin, R Parker, M Porkolab, J
More informationExplanation of the JET n =0 chirping mode
INSTITUTE OF PHYSICS PUBLISHING and INTERNATIONAL ATOMIC ENERGY AGENCY NUCLEAR FUSION Nucl. Fusion 46 (2006) S888 S897 Explanation of the JET n =0 chirping mode doi:10.1088/0029-5515/46/10/s04 H.L. Berk
More informationCharacteristics of Energetic-Ion-Driven Geodesic Acoustic Modes in the Large Helical Device(LHD)
O-4 12 th IAEA TM on Energetic Particles in Magnetic Confinement Systems, 7-10 Sep, Austin, USA Characteristics of Energetic-Ion-Driven Geodesic Acoustic Modes in the Large Helical Device(LHD) K. Toi,
More informationMHD limits and plasma response in high beta hybrid operations in ASDEX Upgrade
EUROFUSION WPMST1-CP(16) 15178 V Igochine et al. MHD limits and plasma response in high beta hybrid operations in ASDEX Upgrade Preprint of Paper to be submitted for publication in Proceedings of 26th
More informationINTRODUCTION TO MAGNETIC NUCLEAR FUSION
INTRODUCTION TO MAGNETIC NUCLEAR FUSION S.E. Sharapov Euratom/CCFE Fusion Association, Culham Science Centre, Abingdon, Oxfordshire OX14 3DB, UK With acknowledgments to B.Alper for use of his transparencies
More informationGyrokinetic Simulations of Tearing Instability
Gyrokinetic Simulations of Tearing Instability July 6, 2009 R. NUMATA A,, W. Dorland A, N. F. Loureiro B, B. N. Rogers C, A. A. Schekochihin D, T. Tatsuno A rnumata@umd.edu A) Center for Multiscale Plasma
More informationSnakes and similar coherent structures in tokamaks
Snakes and similar coherent structures in tokamaks A. Y. Aydemir 1, K. C. Shaing 2, and F. W. Waelbroeck 1 1 Institute for Fusion Studies, The University of Texas at Austin, Austin, TX 78712 2 Plasma and
More informationFormation and Long Term Evolution of an Externally Driven Magnetic Island in Rotating Plasmas )
Formation and Long Term Evolution of an Externally Driven Magnetic Island in Rotating Plasmas ) Yasutomo ISHII and Andrei SMOLYAKOV 1) Japan Atomic Energy Agency, Ibaraki 311-0102, Japan 1) University
More informationPresentation by Herb Berk University of Texas at Austin Institute for Fusion Studies in Vienna, Austria Sept. 1-4, 2015
Review of Theory Papers at 14 th IAEA technical meeting on Engertic Particles in Magnetic Confinement systems Presentation by Herb Berk University of Texas at Austin Institute for Fusion Studies in Vienna,
More informationMulti-scale turbulence, electron transport, and Zonal Flows in DIII-D
Multi-scale turbulence, electron transport, and Zonal Flows in DIII-D L. Schmitz1 with C. Holland2, T.L. Rhodes1, G. Wang1, J.C. Hillesheim1, A.E. White3, W. A. Peebles1, J. DeBoo4, G.R. McKee5, J. DeGrassie4,
More informationStudies on Neutral Beam Ion Confinement and MHD Induced Fast-Ion. Loss on HL-2A Tokamak
Studies on Neutral Beam Ion Confinement and MHD Induced Fast-Ion Loss on HL-A Tokamak LIU Yi, ISOBE Mitsutaka, PENG Xiao-Dong, Wang Hao, JI Xiao-Quan, CHEN Wei, ZHANG Yi-Po, Dong Yun-Bo, MORITA Shigeru
More informationThe fast-ion distribution function
The fast-ion distribution function Source Collisions Orbits RF Losses W. Heidbrink 3 MeV & 14.7 MeV protons Charge Exchange Reactivity σv Complex neutral beam sources are described by a few parameters
More informationNonlinear magnetohydrodynamical effects in precessional fishbone oscillations
Nonlinear magnetohydrodynamical effects in precessional fishbone oscillations A. Ödblom, B. N. Breizman, S. E. Sharapov, T. C. Hender, and V. P. Pastukhov Citation: Phys. Plasmas 9, 155 (22); doi: 1.163/1.1421373
More informationMHD WAVES AND GLOBAL ALFVÉN EIGENMODES
MHD WVES ND GLOBL LFVÉN EIGENMODES S.E. Sharapov Euratom/CCFE Fusion ssociation, Culham Science Centre, bingdon, Oxfordshire OX14 3DB, UK S.E.Sharapov, Lecture 3, ustralian National University, Canberra,
More informationGA A23066 ENHANCEMENT OF RUNAWAY AVALANCHE BY LOWER HYBRID WAVES
GA A23066 ENHANCEMENT OF RUNAWAY AVALANCHE BY LOWER HYBRID WAVES by V.S. CHAN, P.B. PARKS, S.C. CHIU, and R.W. HARVEY MARCH 1999 This report was prepared as an account of work sponsored by an agency of
More informationTheory of Alfvén Eigenmode Instabilities and Related Alpha Particle Transport in JET D-T Plasmas
JET P(98)4 Theory of Alfvén Eigenmode Instabilities and Related Alpha Particle Transport in JET D-T Plasmas W Kerner, D Borba 1, S ESharapov, B N Breizman 2, J Candy 2, A Fasoli 3, L C Appel 4, R Heeter
More informationDensity Peaking At Low Collisionality on Alcator C-Mod
Density Peaking At Low Collisionality on Alcator C-Mod APS-DPP Meeting Philadelphia, 10/31/2006 M. Greenwald, D. Ernst, A. Hubbard, J.W. Hughes, Y. Lin, J. Terry, S. Wukitch, K. Zhurovich, Alcator Group
More informationKinetic damping in gyro-kinetic simulation and the role in multi-scale turbulence
2013 US-Japan JIFT workshop on New Aspects of Plasmas Kinetic Simulation NIFS, November 22-23, 2013 Kinetic damping in gyro-kinetic simulation and the role in multi-scale turbulence cf. Revisit for Landau
More informationActive and Passive MHD Spectroscopy on Alcator C-Mod
Active and Passive MHD Spectroscopy on Alcator C-Mod J A Snipes, D A Schmittdiel, C Boswell, A Fasoli *, W Burke, R S Granetz, R R Parker, S Sharapov #, R Vieira MIT Plasma Science and Fusion Center, Cambridge,
More informationControl of Neo-classical tearing mode (NTM) in advanced scenarios
FIRST CHENGDU THEORY FESTIVAL Control of Neo-classical tearing mode (NTM) in advanced scenarios Zheng-Xiong Wang Dalian University of Technology (DLUT) Dalian, China Chengdu, China, 28 Aug, 2018 Outline
More informationAbstract. Introduction TH/P3-2. contact of main author:
TH/P- Runaway Electron Generation during Plasma Shutdown by Killer Pellet Injection K. Gál(), H Smith(), T. Fülöp() and P Helander() () KFKI-RMKI, Association EURATOM, Budapest () Department of Radio and
More informationIon Cyclotron Emission from JET D-T Plasmas
JET P(98)7 G A Cottrell et al Ion Cyclotron Emission from JET D-T Plasmas This document is intended for publication in the open literature. It is made available on the understanding that it may not be
More informationSawtooth Control. J. P. Graves CRPP, EPFL, Switzerland. FOM Instituut voor Plasmafysica Rijnhuizen, Association EURATOM-FOM, The Netherlands
Sawtooth Control J. P. Graves CRPP, EPFL, Switzerland B. Alper 1, I. Chapman 2, S. Coda, M. de Baar 3, L.-G. Eriksson 4, R. Felton 1, D. Howell 2, T. Johnson 5, V. Kiptily 1, R. Koslowski 6, M. Lennholm
More informationExperimental Study of the Stability of Alfvén Eigenmodes on JET
IAEA FEC, Paper EX/P-7 Experimental Study of the Stability of Alfvén Eigenmodes on JET D.Testa,, A.Fasoli,, G.Fu 4, A.Jaun 3, D.Borba, P.de Vries 6, and JET-EFDA contributors [] Plasma Science and Fusion
More informationNonlinear Energetic Particle Transport in the Presence of Multiple Alfvénic Waves in ITER
Nonlinear Energetic Particle Transport in the Presence of Multiple Alfvénic Waves in ITER Mirjam Schneller, Philipp Lauber, Sergio Briguglio, Antti Snicker Acknowledgement M. Schneller 1, Ph. Lauber 1,
More informationMHD Induced Fast-Ion Losses in ASDEX Upgrade
Max-Planck-Insititut für Plasmaphysik MHD Induced Fast-Ion Losses in ASDEX Upgrade Manuel García-Muñoz1 H.-U. Fahrbach1, M. Bruedgam1, V. Bobkov1, A. Flaws1, M. Gobbin2, S. Günter1, P. Lauber1, M. Mantsinen1,4,
More informationCurrent-driven instabilities
Current-driven instabilities Ben Dudson Department of Physics, University of York, Heslington, York YO10 5DD, UK 21 st February 2014 Ben Dudson Magnetic Confinement Fusion (1 of 23) Previously In the last
More informationStability of a plasma confined in a dipole field
PHYSICS OF PLASMAS VOLUME 5, NUMBER 10 OCTOBER 1998 Stability of a plasma confined in a dipole field Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 Received
More informationOverview of Tokamak Rotation and Momentum Transport Phenomenology and Motivations
Overview of Tokamak Rotation and Momentum Transport Phenomenology and Motivations Lecture by: P.H. Diamond Notes by: C.J. Lee March 19, 2014 Abstract Toroidal rotation is a key part of the design of ITER
More informationCurrent density modelling in JET and JT-60U identity plasma experiments. Paula Sirén
Current density modelling in JET and JT-60U identity plasma experiments Paula Sirén 1/12 1/16 Euratom-TEKES Euratom-Tekes Annual Seminar 2013 28 24 May 2013 Paula Sirén Current density modelling in JET
More informationFIG. 1. "Flower-like" configuration of filaments used for modelling. Magnetic field values for this configuration can be described analytically. Induc
Ion Motion Modelling within Dynamic Filamentary PF-Pinch Column A. Gaψlkowski 1), A. Pasternak 2), M. Sadowski 2) 1) Institute of Plasma Physics and Laser Microfusion, Warsaw, Poland 2) The Andrzej Soltan
More informationGyrokinetic simulations including the centrifugal force in a strongly rotating tokamak plasma
Gyrokinetic simulations including the centrifugal force in a strongly rotating tokamak plasma F.J. Casson, A.G. Peeters, Y. Camenen, W.A. Hornsby, A.P. Snodin, D. Strintzi, G.Szepesi CCFE Turbsim, July
More informationNIMEQ: MHD Equilibrium Solver for NIMROD
NIMEQ: MHD Equilibrium Solver for NIMOD E.C.Howell, C..Sovinec University of Wisconsin-Madison 5 th Annual Meeting of Division of Plasma Physics Dallas, Texas, Nov. 17-Nov. 1,8 1 Abstract A Grad-Shafranov
More informationDOPPLER RESONANCE EFFECT ON ROTATIONAL DRIVE BY ION CYCLOTRON MINORITY HEATING
DOPPLER RESONANCE EFFECT ON ROTATIONAL DRIVE BY ION CYCLOTRON MINORITY HEATING V.S. Chan, S.C. Chiu, Y.A. Omelchenko General Atomics, San Diego, CA, U.S.A. 43rd Annual APS Division of Plasma Physics Meeting
More informationCluster fusion in a high magnetic field
Santa Fe July 28, 2009 Cluster fusion in a high magnetic field Roger Bengtson, Boris Breizman Institute for Fusion Studies, Fusion Research Center The University of Texas at Austin In collaboration with:
More informationGTC Simulation of Turbulence and Transport in Tokamak Plasmas
GTC Simulation of Turbulence and Transport in Tokamak Plasmas Z. Lin University it of California, i Irvine, CA 92697, USA and GPS-TTBP Team Supported by SciDAC GPS-TTBP, GSEP & CPES Motivation First-principles
More informationTransport Improvement Near Low Order Rational q Surfaces in DIII D
Transport Improvement Near Low Order Rational q Surfaces in DIII D M.E. Austin 1 With K.H. Burrell 2, R.E. Waltz 2, K.W. Gentle 1, E.J. Doyle 8, P. Gohil 2, C.M. Greenfield 2, R.J. Groebner 2, W.W. Heidbrink
More informationSupported by. The drift kinetic and rotational effects on determining and predicting the macroscopic MHD instability
NSTX-U Supported by The drift kinetic and rotational effects on determining and predicting the macroscopic MHD instability Coll of Wm & Mary Columbia U CompX General Atomics FIU INL Johns Hopkins U LANL
More informationObservation of Co- and Counter Rotation Produced by Lower Hybrid Waves in Alcator C-Mod*
Observation of Co- and Counter Rotation Produced by Lower Hybrid Waves in Alcator C-Mod* R. R. Parker, Y. Podpaly, J. Lee, M. L. Reinke, J. E. Rice, P.T. Bonoli, O. Meneghini, S. Shiraiwa, G. M. Wallace,
More informationOn the Physics of Intrinsic Flow in Plasmas Without Magnetic Shear
On the Physics of Intrinsic Flow in Plasmas Without Magnetic Shear J. C. Li, R. Hong, P. H. Diamond, G. R. Tynan, S. C. Thakur, X. Q. Xu Acknowledgment: This material is based upon work supported by the
More informationTheory Work in Support of C-Mod
Theory Work in Support of C-Mod 2/23/04 C-Mod PAC Presentation Peter J. Catto for the PSFC theory group MC & LH studies ITB investigations Neutrals & rotation BOUT improvements TORIC ICRF Mode Conversion
More informationSMR/ Summer College on Plasma Physics. 30 July - 24 August, Introduction to Magnetic Island Theory.
SMR/1856-1 2007 Summer College on Plasma Physics 30 July - 24 August, 2007 Introduction to Magnetic Island Theory. R. Fitzpatrick Inst. for Fusion Studies University of Texas at Austin USA Introduction
More informationInfluence of Beta, Shape and Rotation on the H-mode Pedestal Height
Influence of Beta, Shape and Rotation on the H-mode Pedestal Height by A.W. Leonard with R.J. Groebner, T.H. Osborne, and P.B. Snyder Presented at Forty-Ninth APS Meeting of the Division of Plasma Physics
More informationHeat Transport in a Stochastic Magnetic Field. John Sarff Physics Dept, UW-Madison
Heat Transport in a Stochastic Magnetic Field John Sarff Physics Dept, UW-Madison CMPD & CMSO Winter School UCLA Jan 5-10, 2009 Magnetic perturbations can destroy the nested-surface topology desired for
More informationWeibel instability and filamentary structures of a relativistic electron beam in plasma
Mitglied der Helmholtz-Gemeinschaft 7 th Direct Drive and Fast Ignition Workshop Prague, 3-6 May, 009 Weibel instability and filamentary structures of a relativistic electron beam in plasma Anupam Karmakar
More informationStudy of chirping Toroidicity-induced Alfvén Eigenmodes in the National Spherical Torus Experiment
Study of chirping Toroidicity-induced Alfvén Eigenmodes in the National Spherical Torus Experiment M. Podestà 1, R. E. Bell 1, A. Bortolon 2, N. A. Crocker 3, D. S. Darrow 1, E. D. Fredrickson 1, G.-Y.
More informationSimulation results for magnetized plasmas
Chapter 4 Simulation results for magnetized plasmas In this chapter, we consider the dust charge fluctuation mode and lower hybrid wave damping in a magnetized plasma. Also, we consider plasma instabilities
More informationProduction and Damping of Runaway Electrons in a Tokamak
International Sherwood Fusion Theory Conference Madison, WI, April 4-6, 2016 Production and Damping of Runaway Electrons in a Tokamak Boris Breizman 1) and Pavel Aleynikov 2) 1) Institute for Fusion Studies,
More informationC. M. BISHOP and J. W. CONNOR Culham Laboratory, Abingdon. Oxfordshire OX14 3DB, U.K. (EURATOMjUKAEA Fusion Association)
Plasma Physics and Controlled Fusion, Vol. 32. KO 3. pp. 203 to 21 I, 1990 Printed in Great Britain 0741-3335:90 S3.00t.OO IOP Publishing L:d. and Pergamon Press plc HEAT-PULSE PROPAGATION IN TOKAMAKS
More informationTuomas Tala. Core Density Peaking Experiments in JET, DIII-D and C-Mod in Various Operational Scenarios Driven by Fueling or Transport?
Tuomas Tala Core Density Peaking Experiments in JET, DIII-D and C-Mod in Various Operational Scenarios Driven by Fueling or Transport? Core Density Peaking Experiments in JET, DIII-D and C-Mod in Various
More informationNonlinear Evolution and Radial Propagation of the Energetic Particle Driven GAM
Nonlinear Evolution and Radial Propagation of the Energetic Particle Driven GAM by R. Nazikian In collaboration with G.Y. Fu, R.V. Budny, G.J. Kramer, PPPL G.R. McKee, U. Wisconsin T. Rhodes, L. Schmidt,
More informationEffects of Alpha Particle Transport Driven by Alfvénic Instabilities on Proposed Burning Plasma Scenarios on ITER
Effects of Alpha Particle Transport Driven by Alfvénic Instabilities on Proposed Burning Plasma Scenarios on ITER G. Vlad, S. Briguglio, G. Fogaccia, F. Zonca Associazione Euratom-ENEA sulla Fusione, C.R.
More informationEdge Momentum Transport by Neutrals
1 TH/P3-18 Edge Momentum Transport by Neutrals J.T. Omotani 1, S.L. Newton 1,2, I. Pusztai 1 and T. Fülöp 1 1 Department of Physics, Chalmers University of Technology, 41296 Gothenburg, Sweden 2 CCFE,
More informationParticle transport results from collisionality scans and perturbative experiments on DIII-D
1 EX/P3-26 Particle transport results from collisionality scans and perturbative experiments on DIII-D E.J. Doyle 1), L. Zeng 1), G.M. Staebler 2), T.E. Evans 2), T.C. Luce 2), G.R. McKee 3), S. Mordijck
More informationConfinement of toroidal non-neutral plasma
10th International Workshop on Non-neutral Plasmas 28 August 2012, Greifswald, Germany 1/20 Confinement of toroidal non-neutral plasma in magnetic dipole RT-1: Magnetospheric plasma experiment Visualized
More information