CCFE is the fusion research arm of the United Kingdom Atomic Energy Authority. This work was funded by the RCUK Energy Programme [grant number EP/I501045] . Predictive nonlinear studies of TAE- induced -particle transport in the Q=10 ITER baseline scenario M. Fitzgerald, S.E. Sharapov, P. Rodrigues 2 , D. Borba 2 Warm acknowledgements: Simon Pinches, IST and ITPA colleagues 2 Instituto de Plasmas e Fusão Nuclear, Universidade de Lisboa
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CCFE is the fusion research arm of the United Kingdom Atomic Energy Authority.
This work was funded by the RCUK Energy Programme [grant number EP/I501045] .
Predictive nonlinear studies of TAE-
induced 𝜶-particle transport in the Q=10
ITER baseline scenario
M. Fitzgerald, S.E. Sharapov, P. Rodrigues2, D. Borba2
Warm acknowledgements: Simon Pinches, IST and ITPA colleagues
2 Instituto de Plasmas e Fusão Nuclear, Universidade de Lisboa
• Preliminaries
– HAGIS code assumptions and capabilities
– Fast particle physics relevant features of ITER
baseline scenario, equilibrium and eigenmodes
• Results of HAGIS simulations
– Linear drive of 129 toroidal Alfven eigenmodes n=1-
35
– A discussion of features of TAE nonlinear evolution
and comparison to old nonlinear studies
– Findings for stochastic diffusion of fast alphas
– Conclusions for redistribution and loss due to alpha
driven TAEs in ITER baseline
Outline
M.Fitzgerald et al. 14th IAEA-TM EP, Vienna 2015
Slide 1
HAGIS equations
M.Fitzgerald et al. 14th IAEA-TM EP, Vienna 2015
Slide 2
White, R., & Chance, M. (1984). Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section. Physics of Fluids, 27,
2455.
Berk, H. ., Breizman, B. ., & Pekker, M. . (1995). Simulation of Alfven-wave-resonant-particle interaction. Nuclear Fusion, 35(12), 1713–1720.
doi:10.1088/0029-5515/35/12/I36
Candy, J., Borba, D., Berk, H. L., Huysmans, G. T. a., & Kerner, W. (1997). Nonlinear interaction of fast particles with Alfven waves in toroidal
plasmas. Physics of Plasmas, 4(7), 2597. doi:10.1063/1.872348
Evolving particle phase coordinates
[White & Chance (1984)]
FIXED MHD EIGENMODE STRUCTURE
Evolving wave amplitude and phase
[Berk & Breizman (1995)] [Candy et al. (1997)]
M.Fitzgerald et al. 14th IAEA-TM EP, Vienna 2015
Slide 3
• O’Neil, T. (1965). Collisionless Damping of Nonlinear Plasma Oscillations. Physics of Fluids, 8(1965), 2255–2262.
doi:10.1063/1.1761193
[O’Neil(1965)]
HAGIS physics
• HAGIS deals with nonlinearities produced when fast
particles are resonant and trapped in Alfven modes
Convective transport of holes and clumps
M.Fitzgerald et al. 14th IAEA-TM EP, Vienna 2015
Slide 4
Berk, H. ., Breizman, B. ., & Petviashvili, N. . (1997). Spontaneous hole-clump pair creation in weakly unstable plasmas. Physics Letters A, 234(3), 213–218. doi:10.1016/S0375-9601(97)00523-9 Lilley, M. K., & Nyqvist, R. M. (2014). Formation of Phase Space Holes and Clumps. Physical Review Letters, 112(15), 155002. doi:10.1103/PhysRevLett.112.155002