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, Austria Sept. 1-4, 2015 1
Cartoon of Stiff Critical Gradient 2
Can we infer transport from marginal stability alone O-6: Gorelenkov Assumes Marginal Stability Independent of Velocity Space matches neutron deficit using marginality to TAE +BAAE (EPM) modes 3
Kick Model (Podesta O-1) 4
Podesta (O-1) Treatment of fast ion phase space evolution relevant for consistent integrated simulations Two models tested for fast ion transport in integrated simulations: Ad-hoc diffusion model, purely radial diffusion Phase space resolved kick model Retains correlation in E, P variations from resonant interactions Ad-hoc model OK for global quantities (e.g. neutrons, stored energy) But: substantial differences observed for profiles, time evolution of Fast ion density, NB-driven current Fast ion distribution function J NB peaking J NB peaking incremental - incr. transport 2.0 1.5 1.0 0.5 ad-hoc D b kick model 0.0 0.0 0.5 1.0 1.5 2.0 J NB peaking J NB peaking classical - classical transport Profiles of NB-driven current from TRANSP classical ad-hoc D b NSTX #139048 kick model 5
Neutron Deficit Reproduced 6
R. Waltz O-3 7
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Heidbrink (I-3) 9
Guoyong Fu (I-6) 10
As frequency Pφ & E change Pφ - ne/ω =constant (n=1 for fishbone) 11
X. Wang (I-9) 12
Surprise element, chirp without bucket? chirp time ~ ½ trapping time; Constraint requirement (dω/dt)/(ω b ) 2 <1 & nearly constant 13
Gogaccia & Vlad (P-30) Also see: M. Cole: (I:12); NON-LINEAR GYROKINETIC CODE FOR REALISTIC TOKAMAK FOR HAS SPECIALIZED IN EPM & NONLINEAR EFFECTS 14
A. Bierwage (I-10) Introductory Talk that Asks the question of whether we can heat ions having unstable beta Alfven waves heat plasma by simultaneously resonating with acoustic branch (kinetically ion Landau damping) See also Biancalani-(I-7) Attempting formulate a very generalized set of nonlinear kinetic equations. 15
Y. Todo (O-19) 16
Y. Todo Beam deposition power (P NBI ) scan was performed with multiphase hybrid simulation for DIII-D experiments. It was found in the simulation results: Fast-ion confinement degrades steadily with increasing power. Normalized ast-ion pressure profile converges to a stiff profile as the phase space is covered by the transport regions with P NBI increase. For the stiff profile, the whole phase space should be fully covered by the overlapped transport regions up to the particle loss location. Transport barrier exists at the edge. Careful modeling of the edge transport and particle loss is important. 17 17
Puzzle: How are avalanches explained?? Lauber: P-27 Asdex data NSTX- Data 18
P. Rodrigues (O-11) Can anything be done to quench alpha driven Alfvenic Instability 19
J. Ferreira (P-22) In this case continuum is very well aligned 20
D. Spong (O-16) Stellarator, appears much harder calculation but often very similar; but with additional gaps 21
Melnikov (0-18) Chirping measured with HIBP on TJ-II stellarator HIBP B pol MP B pol <n e > < 0.6 x10 19 m -3 Coh HIBP MP High coherence (Coh ~ 0.9) between B pol oscillations (HIBP) at Mirnov probes signals is observed for chirping modes. 22 22
D. Pfefferle (I-4) Ripple due to toroidal field coils in Demo 23
How to analyze ripple? 24
Electron Runaways Avalanche from relativistic knock ons (Rosenbluth & Putvinski) Papers: G. Papp O-21; A. Stahl (P-31) Z. Chen O-22 (runaways in J-TEXT tokamak) 25
G. Papp (O-21) 26
FINIS 27
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Effects of fast ion phase space modifications by instabilities on fast ion modeling M. Podestà, M. Gorelenkova, E. Fredrickson, N. Gorelenkov, R. White PPPL, Princeton USA Acknowledgements: NSTX-U and DIII-D Energetic Particles groups 14th IAEA-TM on Energetic Particles Vienna, Austria September 1-4 2015 14th IAEA-TM, Fast ion by modeling phase space M. Podestà, Sep. 2015 Supported DOEwith contract no. modifications, DE-AC02-09CH11466 29
One scenario for particle containment (Berk-Breizman) One scenario for particle containment (Berk-Breizman) 30
M. Schneller (O-8) 31