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Contents 1 Theory and simulation of energetic particle dynamics and ensuing collective behaviors in fusion plasmas 2 Objectives of the NLED project 2015-17 3 Main ongoing research activities in 2017 4 Activity Reports from previous years 5 Upcoming Web Seminars and Rehearsals 6 Publications/presentations in 2017 7 Publications/presentations in 2016 8 Publications/presentations in 2015 9 Publications/presentations in 2014

Theory and simulation of energetic particle dynamics and ensuing collective behaviors in fusion plasmas

[NonLinear Energetic particle Dynamics (NLED)]

Principal Investigator:

Fulvio Zonca

Project Participants:

Alessandro Biancalani, Alberto Bottino, Matthias Borchardt, Sergio Briguglio, Nakia Carlevaro, Claudio Di Troia, Remi Dumont, Matteo Faganello, Giuliana Fogaccia, Valeria Fusco, Xavier Garbet (till Jan.1st 2017), Ralf Kleiber, Axel Könies, Philipp Lauber, Zhixin Lu, Alexander Milovanov, Oleksiy Mishchenko, Giovanni Montani, Gregorio Vlad, Xin Wang, David Zarzoso

External Collaborators (not supported by NLED funding):

Ilija Chavdarovski (MPPC PostDoc Fellow), Michael Cole (PhD Student), Matteo Falessi (PhD Student till Feb.1st 2017), Thomas Hayward (PhD Student), Malik Idouakass (PhD Student till Feb.1st 2017), Pierluigi Migliano (PostDoc Fellow), Ivan Novikau (PhD Student), Francesco Palermo (PostDoc Fellow), Mirjam Schneller (EUROfusion Fellow till Feb.1st 2016), Christoph Slaby (PhD Student), Xavier Garbet (CEA Faculty)

Participating Research Institutions:

Aix Marseille Univerity, CEA Cadarache, ENEA Frascati, IPP Garching, IPP Greifswald

Objectives of the NLED project 2015-17

The main aim of this project proposal is to assess the essential physics elements for successful numerical simulation of Alfvénic fluctuations and energetic particle behaviors in fusion plasmas. A variety of numerical codes adopting both gyrokinetic as well as hybrid fluid-kinetic approaches will be employed to accomplish this task. Reference plasma scenarios, including these fundamental processes, will be extracted from experimental observations for carrying out numerical studies in conditions of practical interest. Meanwhile, the use of physical models of increasing complexity within numerical simulation codes will allow to clearly identify the importance of accounting for realistic plasma nonuniformity and magnetic field geometry for successful comparisons of numerical simulation results with experimental observations. Furthermore, benchmarking of codes developed for analyzing these physics in tokamak and stellarator devices will provide deeper insights.

Standardized numerical diagnostics, in particular for energetic-particle phase-space, have been developed as part of the 2014 NLED ER Project; and are foreseen as essential ingredient of this project proposal as well as prerequisite for verification of numerical simulation results and code benchmarking for both linear and nonlinear dynamics. Linear simulations will be focused on benchmarking numerical simulations of different types of Alfvénic oscillations with perturbative and non-perturbative fast particle drive; and on the analysis of electron- fishbone stability properties. Meanwhile, nonlinear simulations will address perturbative analyses of multi-mode (Alfvén Eigenmode) scenarios including realistic damping, as well as nonlinear electron-fishbone saturation and self-consistent supra-thermal electron transport. For long time-scale simulations, realistic energetic particle sources and collisions will be taken into account.

Main ongoing research activities in 2017

Activity Reports from previous years

• [1] 2014 NLED Activity Report. PDF
• [2] 2015 NLED Activity Report. PDF
• [3] 2016 NLED Mid-Term Report. PDF
• [4] 2016 NLED Activity Report. PDF

Upcoming Web Seminars and Rehearsals

• [1] NLED Seminar by Christoph Slaby: Benchmarking and extending the collision operator implemented in the EUTERPE code; January 11, (2017) at 10.00 am. (Information on presentations and material can be requested from presenting authors.)
• [2] Second NLED Workshop, February 27 - March 1, 2017, by remote participation. Agenda. PDF (Information on presentations and material can be requested from presenting authors.)
• [3] NLED Seminar by Claudio Di Troia: Non-perturbative guiding center transformation in gyrokinetics; March 29, (2017) at 2.30 pm. (Information on presentations and material can be requested from presenting authors.)
• [4] NLED Seminar by Fulvio Zonca: On Energetic-Particle Excitations of Low-Frequency Alfvén Eigenmodes in Toroidal Plasma; March 29, (2017) at 3.10 pm. (Information on presentations and material can be requested from presenting authors.)
• [5] NLED Rehearsal by Zhixin Lu: Local and global analysis of symmetry breaking for ITG and BAE modes; May 31, (2017) at 11.20 am. Rehearsal of Invited Talk at the 8th IAEA TM on Theory of Plasma Instabilities, Vienna, June 12-14, (2017). (Information on presentations and material can be requested from presenting authors.)
• [6] NLED Seminar by Alessandro Biancalani: Nonlinear wave-particle dynamics of energetic-particle-driven geodesic acoustic modes; July 20, (2017) at 11.00 am. (Information on presentations and material can be requested from presenting authors.)
• [7] NLED Rehearsal by David Zarzoso: Particle transport in the nonlinear phase of EGAMs using full-f gyro-kinetic simulations; August 31, (2017) at 2.05 pm. Rehearsal of Invited Talk at the 15th IAEA Technical Meeting on Energetic Particles, Princeton, September 5-8 (2017). (Information on presentations and material can be requested from presenting authors.)
• [8] NLED Rehearsal by Zhixin Lu: Symmetry breaking of BAE driven by energetic particles; August 31, (2017) at 2.40 pm. Rehearsal of Invited Talk at the 15th IAEA Technical Meeting on Energetic Particles, Princeton, September 5-8 (2017). (Information on presentations and material can be requested from presenting authors.)
• [9] NLED Rehearsal by Christoph Slaby: Effect of collisions on the saturation dynamics of TAE in tokamaks and stellarators; August 31, (2017) at 3.15 pm. Rehearsal of Poster at the 15th IAEA Technical Meeting on Energetic Particles, Princeton, September 5-8 (2017). (Information on presentations and material can be requested from presenting authors.)
• [10] NLED Rehearsal by Gregorio Vlad: Single-n versus multiple-n simulations of Alfvénic global modes; August 31, (2017) at 3.50 pm. Rehearsal of Poster at the 15th IAEA Technical Meeting on Energetic Particles, Princeton, September 5-8 (2017). (Information on presentations and material can be requested from presenting authors.)
• [11] NLED Rehearsal by Thomas Hayward: Nonlinear energetic particle transport by Alfvén eigenmodes and sensitivity study of hybrid-gyrokinetic physics models; August 31, (2017) at 4.25 pm. Rehearsal of Poster at the 15th IAEA Technical Meeting on Energetic Particles, Princeton, September 5-8 (2017). (Information on presentations and material can be requested from presenting authors.)
• [12] NLED Rehearsal by Alexey Mishchenko: Pullback approach for gyrokinetic electromagnetic simulations; October 5, (2017) at 2.00 pm. Rehearsal of Topical Invited Talk at the 17th European Fusion Theory Conference, Athens, October 9-12, (2017). (Information on presentations and material can be requested from presenting authors.)
• [13] NLED Rehearsal by Fulvio Zonca: Physics of Energetic Particles and Alfvén Waves; October 5, (2017) at 2.40 pm. Rehearsal of Tutorial Invited Talk at the 17th European Fusion Theory Conference, Athens, October 9-12, (2017). (Information on presentations and material can be requested from presenting authors.)
• [14] NLED Rehearsal by Xin Wang: Nonlinear dynamics of energetic particle driven Alfvénic flucturations in fusion plasmas; October 6, (2017) at 2.00 pm. Rehearsal of Topical Invited Talk at the 17th European Fusion Theory Conference, Athens, October 9-12, (2017). (Information on presentations and material can be requested from presenting authors.)
• [15] NLED Rehearsal by Zhixin Lu: Local and global analysis of symmetry breaking for ITG and BAE modes; October 6, (2017) at 2.40 pm. Rehearsal of Poster at the 17th European Fusion Theory Conference, Athens, October 9-12, (2017). (Information on presentations and material can be requested from presenting authors.)
• [16] NLED Rehearsal by Francesco Palermo: Radial acceleration and damping rate enhancement of geodesic acoustic modes via phase mixing in realistic equilibria; October 6, (2017) at 3.00 pm. Rehearsal of Poster at the 17th European Fusion Theory Conference, Athens, October 9-12, (2017). (Information on presentations and material can be requested from presenting authors.)
• [17] NLED Rehearsal by Claudio Di Troia: Non-perturbative guiding center transformation: the gyro-phase is the Kaluza-Klein 5^th dimension; October 6, (2017) at 3.20 pm. Rehearsal of Poster at the Conference on Collisionless Boltzmann (Vlasov) Equation and Modeling of Self-Gravitating Systems and Plasmas, C.I.R.M. (Marseille), October 30 - November 3, (2017). (Information on presentations and material can be requested from presenting authors.)
• [18] NLED Seminar by Fulvio Zonca: The fishbone burst cycle; November 15, (2017) at 2.45 pm. PDF
• [19] NLED Rehearsal by Philipp Lauber: Validating models for energetic particles in the view of ITER and DEMO ; November 16, (2017) at 12.50 pm. (Information on presentations and material can be requested from presenting author.)
• [20] NLED Seminar by Alexey Mishchenko: EPMs and EPM-driven zonal flows with ORB5; December 15, (2017) at 10.00 am. (Information on presentations and material can be requested from presenting author.)
• [21] NLED Seminar by Alessandro Biancalani: Progresses on Alfvén modes in the presence of turbulence with ORB5; December 15, (2017) at 10.30 am. (Information on presentations and material can be requested from presenting author.)
• [22] NLED Seminar by Axel Könies: Scaling laws for saturated mode amplitudes; December 15, (2017) at 11.00 am. (Information on presentations and material can be requested from presenting author.)

Publications/presentations in 2017

• [1] S. Briguglio, M. Schneller, X. Wang, C. Di Troia, T. Hayward-Schneider, V. Fusco, G. Vlad and G. Fogaccia, Saturation of Alfvén modes in tokamak plasmas investigated by Hamiltonian mapping techniques. Nucl. Fusion 57, 072001 (2017) (21pp). PDF
• [2] F. Zonca and L. Chen, On the nonlinear dynamics of phase space zonal structures. Invited Talk at the 11th West Lake International Symposium on Energetic Particle Physics and Microturbulence in Magnetic Fusion, Hangzhou, China, April 24-26, (2017). PDF
• [3] Z. Qiu, L. Chen and F. Zonca, Nonlinear excitation of finite-radial-scale zonal structures by toroidal Alfvén eigenmode. Nucl. Fusion 57, 056017 (2017) (10pp). PDF (30% NLED support)
• [4] A. Biancalani, A. Bottino, M. Cole, C. Di Troia, Ph. Lauber, A. Mishchenko, B. Scott and F. Zonca, Nonlinear interplay of Alfvén instabilities and energetic particles in tokamaks. Plasma Phys. Control. Fusion 59, 054004 (2017) (14pp). PDF
• [5] F. Zonca, X. Tao and L. Chen, Nonlinear wave-particle dynamics in chorus excitation, ECA vol. 41F (EPS) Paper No. P2.412. Presented at the 44.th EPS Conference on Plasma Physics, Belfast, Northern Ireland, 26 - 30 June (2017). PDF (30% NLED support)
• [6] L. Chen and F. Zonca, On energetic-particle excitations of low-frequency Alfvén eigenmodes in toroidal plasma. Physics of Plasmas 24, 072511 (2017) (10pp). PDF (50% NLED support)
• [7] F. Zonca et al., Physics of Energetic Particles and Alfvén Waves. Tutorial Invited Talk at the 17th European Fusion Theory Conference, Athens, October 9-12, (2017). PDF
• [8] F. Zonca and L. Chen, The fishbone burst cycle. Invited Talk at the Trilateral International Workshop on Energetic Particle Physics, Hangzhou, China, November 10-12, (2017). PDF
• [9] A. Biancalani, I. Chavdarovski, Z. Qiu, A. Bottino, D. Del Sarto, A. Ghizzo, O. Gurcan, P. Morel, I. Novikau, Saturation of energetic-particle-driven geodesic acoustic modes due to wave-particle nonlinearity. Journal of Plasma Physics 83, 6 725830602 (2017) (10pp). PDF (33% NLED support)
• [10] A. Biancalani, et al., Gyrokinetic investigation of zonal structures in tokamaks. Talk at the 9th Festival de Theorie, Aix-en-Provence, June 29th, 2017. (33% NLED support)
• [11] A. Biancalani, et al., Nonlinear gyrokinetic investigation of energetic-particle-driven geodesic acoustic modes. Poster at the 17th European Fusion Theory Conference, Athens, Greece, October 9-12, 2017. PDF
• [12] N. Carlevaro, et al., Avalanches in multi-mode simulations of the beam-plasma system: applications to fusion plasmas and its criticalities. To be Submitted to J. Plasma Phys.
• [13] N. Carlevaro, G. Montani, F. Zonca, Saturation level and resonance overlap in Hamiltonian BoT systems. To be Submitted to Europhys. Lett.
• [14] G. Vlad, V. Fusco, S. Briguglio, C. Di Troia, G. Fogaccia, F. Zonca, and X. Wang, Modeling of electron fishbones. Invited Talk at the Trilateral International Workshop on Energetic Particle Physics, Hangzhou, China, November 10-12, (2017). PDF
• [15] G. Vlad, S. Briguglio, G. Fogaccia, V. Fusco, C. Di Troia, E. Giovannozzi, and X. Wang, Single-n versus multiple-n simulations of Alfvénic global modes. Poster presented at the “15th IAEA Technical Meeting on Energetic Particles in Magnetic Confinement Systems”, Princeton 5-8 Sept. 2017. PDF
• [16] G. Vlad, S. Briguglio, G. Fogaccia, V. Fusco, C. Di Troia, E. Giovannozzi, X. Wang and F. Zonca, Single-n versus multiple-n simulations of Alfvénic modes. Submitted to Nuclear Fusion (2017)
• [17] C. Di Troia, Non perturbative guiding center transformation: the gyrophase is the Kaluza-Klein 5th dimension., Conference in CIRM, Marseille, 30 October- 3 November 2017, Collisionless Boltzmann (Vlasov) Equation and Modelling of Self-Gravitating Systems and Plasmas.
• [18] C. Di Troia, Non perturbative guiding center and stochastic gyrocenter transformations: gyrophase is the Kaluza-Klein 5th dimension also for reconciling General Relativity with Quantum Mechanics., submitted to Physical Review D, (2017).
• [19] T Hayward-Schneider and Ph Lauber, Nonlinear energetic particle transport by Alfvén eigenmodes and sensitivity study of hybrid-gyrokinetic physics models., Poster at the 15th IAEA TCM on EPs; PPPL, USA (September 2017), in preparation for NF special issue PDF
• [20] M Schneller et al, The Effect of EP-induced Geodesic Acoustic Modes on Microturbulence., Invited talk at MPPC meeting, Greifswald (Sept. 2017) PDF
• [21] M Schneller et al, Investigation of EP induced Geosedic Acoustic Modes., Poster at the 15th IAEA TCM on EPs; PPPL, USA (Sept. 2017) PDF
• [22] Ph Lauber et al, Onset of strongly non-linear energetic particle dynamics at ASDEX Upgrade., Presentation at MPPC meeting, Greifswald (Sept. 2017) PDF
• [23] Ph Lauber et al, Linear kinetic simulations of modes in the BAE and BAAE frequency regime., 18th ITPA EP meeting, Seville, Spain (May 2017) PDF
• [24] Ph Lauber et al, Energetic Particle (EP) modeling for JT-60 SA., 6th Research and Coordination Meeting JT60-SA Planning Meeting, Naka, Japan (May 2017)
• [25] A Bierwage and Ph Lauber,Gyrokinetic analysis of low-n shear Alfvén and ion sound wave spectra in a high-beta tokamak plasma., Nuclear Fusion, 57, 11 (2017) (50% NLED support)
• [26] Ph Lauber et al, Validating models for energetic particles in the view of ITER and DEMO., Invited talk at the EFPW, Dubrovnik (Nov. 2017) PDF
• [27] Z. Lu et al Mode structure symmetry breaking of energetic particle driven Beta-induced Alfvén Eigenmode., submitted to Phys. Plasmas
• [28] Z. Lu et al Kinetic effects of thermal ions and energetic particles on discrete kinetic BAE mode generation and symmetry breaking., submitted to Nucl. Fusion
• [29] Z. Lu et al Local and global analysis of symmetry breaking for ITG and BAE modes., 17thEuropean Fusion Theory Conference 9-12 October 2017, Athens, Greece
• [30] Z. Lu et al Symmetry breaking of Beta induced Alfvén eigenmode driven by energetic particles., 15thIAEA Technical Meeting on Energetic Particles in Magnetic Confinement Systems 5-8 Sep 2017, Princeton, USA
• [31] I. Novikau, A. Biancalani, A. Bottino, G. D. Conway, O. D. Gurcan, P. Manz, P. Morel, E. Poli, A. Di Siena, the ASDEX Upgrade Team, Linear gyrokinetic investigation of the geodesic acoustic modes in realistic tokamak configurations., accepted for publication in Phys. Plasmas (2017).
• [32] F. Palermo, E. Poli, A. Bottino, A. Biancalani, G. Conway, B. Scott, Radial acceleration of Geodesic Acoustic Modes in the presence of a temperature gradient., Phys. Plasmas, 24, 072503 (2017)
• [33] Z. Qiu, I. Chavdarovski, A. Biancalani, J. Cao, On Zero Frequency Zonal Flow and Second Harmonic Generation by Finite Amplitude Energetic Particle Induced Geodesic Acoustic Mode., Phys. Plasmas, 24, 072509 (2017).
• [34] M. D. J. Cole, A. Biancalani, A. Bottino, R. Kleiber, A. Konies, A. Mishchenko, Toroidal Alfven eigenmodes with nonlinear gyrokinetic and fluid hybrid models., Phys. Plasmas, 24, 022508 (2017).
• [35] F. Palermo, E. Poli, A. Bottino, A. Biancalani, C. Angioni, G. D. Conway, B. Scott, F. Zonca, Enhanced radial velocity and damping rate of Geodesic Acoustic Modes in the presence of a temperature gradient. Presented at the 44.th EPS Conference on Plasma Physics, Belfast, Northern Ireland, 26 - 30 June (2017)

Publications/presentations in 2016

• Complete list of publications and presentations in 2016.

Publications/presentations in 2015

• Complete list of publications and presentations in 2015.

Publications/presentations in 2014

• Complete list of publications and presentations in 2014.