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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 2016 4 Activity Reports from previous years 5 Upcoming Web Seminars and Rehearsals 6 Publications/presentations in 2016 7 Publications/presentations in 2015 8 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, Ralf Kleiber, Axel Könies, Philipp Lauber, Alexander Milovanov, Oleksiy Mishchenko, Giovanni Montani, Gregorio Vlad, Xin Wang

External Collaborators (not supported by NLED funding):

Ilija Chavdarovski (MPPC PostDoc Fellow), Michael Cole (PhD Student), Matteo Falessi (PhD Student), Thomas Hayward (PhD Student), Malik Idouakass (PhD Student), Pierluigi Migliano (PostDoc Fellow), Francesco Palermo (PostDoc Fellow), Mirjam Schneller (EUROfusion Fellow till Feb.1st 2016), Christoph Slaby (PhD Student), David Zarzoso (AMU 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 2016

Activity Reports from previous years

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

Upcoming Web Seminars and Rehearsals

• [1] First NLED Workshop, February 24 - 26, 2016, by remote participation. Agenda. PDF (Information on presentations and material can be requested from presenting authors.)
• [2] EPS - ICPP Rehearsals, June 24, 2016. Agenda. PDF. Rehearsals of presentations at the 43rd EPS Conference on Plasma Physics, Leuven, Belgium, July 4 -8 (Nakia Carlevaro, Michael Cole); and at the 18th International Congress on Plasma Physics, June 27 - July 1, Kaohsiung, Taiwan (Sergio Briguglio, David Zarzoso). (Information on presentations and material can be requested from presenting authors.)
• [3] Varenna-Lausanne Rehearsals, July 26, 2016. Agenda. PDF. Rehearsals of presentations at the Joint Varenna-Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, Italy, August 29 - September 2 (Alessandro Biancalani). (Information on presentations and material can be requested from presenting authors.)
• [4] 26th IAEA - FEC Rehearsals, September 20, 2016. Agenda. PDF. Rehearsals of presentations at the The 26th IAEA Fusion Energy Conference, Kyoto, Japan, October 17 - 22 (Alessandro Biancalani, Gregorio Vlad, Xin Wang). (Information on presentations and material can be requested from presenting authors.)

Publications/presentations in 2016

• [1] A. Biancalani, A. Bottino, S. Briguglio, A. Könies, Ph. Lauber, A. Mishchenko, E. Poli, B. D. Scott, and F. Zonca Linear gyrokinetic particle-in-cell simulations of Alfvén instabilities in tokamaks. Physics of Plasmas 23, 012108 (2016). PDF
• [2] X. Wang et al. Structure of wave-particle resonances and Alfvén mode saturation. Physics of Plasmas 23, 012514 (2016). PDF
• [3] L. Chen and F. Zonca. Physics of Alfvén waves and energetic particles in burning plasmas. Reviews of Modern Physics 88, 015008 (2016). PDF (20% NLED support)
• [4] N. Carlevaro, A.V. Milovanov et al. Mixed Diffusive-Convective Relaxation of a Warm Beam of Energetic Particles in Cold Plasma. Entropy 18, 143 (2016). PDF
• [5] F. Zonca et al. Nonlinear dynamics and transport processes in the beam-plasma system. Invited talk at the 10^th West Lake International Symposium on Magnetic Fusion, and 12^th Asia Pacific Plasma Theory Conference, Hangzhou, China, May 9-13, 2016. PDF
• [6] G. Fogaccia, G. Vlad, S. Briguglio Linear benchmarks between the hybrid codes HYMAGYC and HMGC to study energetic particle driven Alfvénic modes. Accepted for publication in Nuclear Fusion, 2016.
• [7] G. Vlad, V. Fusco, S. Briguglio, G. Fogaccia, F. Zonca, X. Wang Theory and modelling of electron fishbones. Invited paper for the New Journal of Physics "Fast particle instabilities and transport in fusion, space and astrophysics plasmas", to be submitted, 2016.
• [8] G. Vlad, V. Fusco, S. Briguglio, C. Di Troia, G. Fogaccia, F. Zonca, X. Wang Linear and nonlinear dynamics of electron fishbones. To be presented at the 26th IAEA Fusion Energy Conference (FEC 2016) Kyoto, Japan 17–22 October 2016, Poster presentation.
• [9] X. Wang, S. Briguglio, M. Schneller, Ph. Lauber, V. Fusco, C. Di Troia, G. Fogaccia, G. Vlad, F. Zonca On the structure of wave-particle interactions and nonlinear Alfvenic fluctuation dynamics. To be presented at the 26th IAEA Fusion Energy Conference (FEC 2016) Kyoto, Japan 17–22 October 2016, Poster presentation.
• [10] X. Wang, S. Briguglio A single Alfven mode saturation by nonlinear wave-particle interaction. Invited paper for the New Journal of Physics "Fast particle instabilities and transport in fusion, space and astrophysics plasmas", to be submitted, 2016.
• [11] X. Wang, S. Briguglio, Ph. Lauber, F. Zonca Structure of wave-particle interactions in nonlinear Alfven fluctuation dynamics. Oral talk at the 10^th West Lake International Symposium on Magnetic Fusion, and 12^th Asia Pacific Plasma Theory Conference, Hangzhou, China, May 9-13, 2016.
• [12] N. Carlevaro, G. Montani, X. Wang, F. Zonca, Convection and diffusion in the bump-on-tail model: interpretation of fast particle-TAE interaction in ITER. Poster presentation at the 43rd EPS Conference on Plasma Physics, Leuven, Belgium, July 4-8, 2016.
• [13] M. Faganello, M. Idouakass, H. Berk, X. Garbet, S. Benkadda, Nonlinear hydrid simulations of precessional Fishbone instability. Invited talk at the 5^th International Workshop on the Theory and Applications of the Vlasov equation (Vlasovia), Copanello, Italy, May 30-Jun 2 (2016).
• [14] László Horváth, Gergely Papp, Philipp Lauber, et al: Experimental investigation of the radial structure of energetic particle driven modes, Nucl. Fusion, Special issue of papers arising from the 14th IAEA Technical Meeting on Energetic Particles in Magnetic Confinement Systems (Vienna, Austria, 2015), accepted: 15 April 2016 (30% NLED support)
• [15] Ph. Lauber, Energetic Particle modeling for JT-60 SA, 5th Research and Coordination Meeting JT60-SA Planning Meeting, Naka, 16.-18.5. 2016 (30% NLED support)
• [16] Ph. Lauber et al., NLED-AUG reference case, http://www2.ipp.mpg.de/~pwl/NLED_AUG/data.html, 2015/2016 (100% NLED support)
• [17] A. Biancalani, A. Bottino, A. Könies, Ph. Lauber, A. Mishchenko, B. Scott, F. Zonca Nonlinear GK investigation of energetic-particle-driven instabilities in tokamaks. Oral talk at the 10^th West Lake International Symposium on Magnetic Fusion, and 12^th Asia Pacific Plasma Theory Conference, Hangzhou, China, May 9-13, 2016.
• [18] A. Biancalani, A. Bottino, Ph. Lauber, B. Scott, and F. Zonca Nonlinear interplay of Alfvén instabilities and energetic particles in tokamaks. To be presented as an invited talk at the Joint Varenna-Lausanne International Workshop, Varenna, Italy, 29 August - 2 September 2016.
• [19] A. Biancalani, M. Cole, A. Bottino, A. Könies, Ph. Lauber, A. Mishchenko, B. Scott, and F. Zonca Gyrokinetic investigation of the nonlinear interplay of Alfvén instabilities and energetic particles in tokamaks. To be presented at the 26th IAEA Fusion Energy Conference (FEC 2016) Kyoto, Japan, 17–22 October 2016, Oral presentation.
• [20] N. Carlevaro, G. Montani, D. Terzani, On the viability of the single wave mo del for the beam plasma instability. Europhys. Lett. (2016). PDF
• [21] Z. Qiu, L. Chen, and F. Zonca Effects of energetic particles on zonal flow generation by toroidal Alfvén eigenmode. Physics of Plasmas 23, 090702 (2016). PDF (20% NLED support)
• [21] Z. Qiu, L. Chen, and F. Zonca Fine structure zonal flow excitation by beta-induced Alfvén eigenmode. Nuclear Fusion 56, 106013 (2016). PDF (20% NLED support)

Publications/presentations in 2015

• [1] X. Wang et al. Structure of wave-particle interactions in nonlinear beta induced Alfvén eigenmode dynamics. Invited talk at the 7^th IAEA Technical Meeting on Plasma Instabilities, Frascati, Italy, March 4-6, 2015. PDF
• [2] Ph. Lauber. Local and Global Kinetic Stability Analysis of Alfvén Eigenmodes in the 15 MA ITER Scenario. Plasma Phys. Control. Fus. 57, 054011 (2015). PDF (70% NLED support)
• [3] S. D. Pinches and Ph. Lauber et al. Energetic Ions in ITER Plasmas. Physics of Plasmas 22, 021807 (2015). PDF (20% NLED support)
• [4] F. Zonca et al. Energetic particles and multi-scale dynamics in fusion plasmas. Plasma Phys. Control. Fus. LabTalk. link (80% NLED support)
• [5] N. Carlevaro, M.V. Falessi, G. Montani and F. Zonca. Transport features in a multi-resonance beam-plasma system. Poster presented at the workshop Complex Plasma Phenomena in the Laboratory and in the Universe, Accademia Nazionale dei Lincei, Rome, Italy, January 19-20, 2015; and the 7^th IAEA Technical Meeting on Plasma Instabilities, Frascati, Italy, March 4-6, 2015. PDF
• [6] N. Carlevaro, M.V. Falessi, G. Montani and F. Zonca. Non-linear physics and transport features of the beam-plasma instability. J. Plasma Phys. 81 (5), 495810515 (2015). PDF
• [7] F. Zonca et al. Energetic particles and multi-scale dynamics in fusion plasmas. Invited talk presented at the Workshop on Tearing Modes and Energetic Particles, 10 – 12 June 2015, Aix-en-Provence, France. PDF (80% NLED support)
• [8] F. Zonca. Wave-particle interactions and nonlinear dynamics in magnetized plasmas. Invited talk presented as Mathematics Department Colloquium, Bologna University, June 16th 2015. PDF (80% NLED support)
• [9] G. Fogaccia, S. Briguglio, and G. Vlad. Linear benchmark activity of HYMAGYC code. In 7th IAEA Technical Meeting on Theory of Plasma Instabilities, Frascati (Rome), March 4-6, 2015.
• [10] G. Fogaccia, G. Vlad, and S. Briguglio. Linear benchmarks between HYMAGYC and HMGC codes. In 14th IAEA Technical Meeting on Energetic Particles in Magnetic Confinement Systems, Vienna 1-4 Sept. 2015, page P29, Vienna, Austria, 2015. International Atomic Energy Agency. PDF
• [11] V. Fusco, G. Vlad, S. Briguglio, G. Fogaccia, C. Di Troia, and F. Zonca. Analysis of the electron fishbone instability with the XHMGC code. In 7th IAEA Technical Meeting on Theory of Plasma Instabilities, Frascati (Rome), March 4-6, 2015.
• [12] V. Fusco, G. Vlad, S. Briguglio, G. Fogaccia. Electron fishbone dynamics studies in tokamaks using the XHMGC code. In 14th IAEA Technical Meeting (TM) on Energetic Particles in Magnetic Confinement Systems, Vienna 1-4 Sept, 2015, page P28, Vienna, Austria, 2015. International Atomic Energy Agency. PDF
• [13] N. Carlevaro, A.V. Milovanov, M.V. Falessi, G. Montani, D. Terzani and F. Zonca. Mixed diffusive-convective relaxation of a broad beam of energetic particles in cold plasma. To be submitted to Entropy - Special Issue: Recent Advances in Non-Equilibrium Statistical Mechanics and Its Application. Invited paper (2015). PDF
• [14] Ph. Lauber et al. Off-axis NB heated discharges at ASDEX Upgrade: EGAMs,TAE bursts, and RSAEs. In 14th IAEA TCM on Energetic Particles in Magnetic Confinement Systems, Vienna 1-4 Sept,2015.PDF (40% NLED support)
• [15] M.D.J. Cole and A. Mishchenko and A. Könies and R. Hatzky and R. Kleiber. A hierarchy of electromagnetic gyrokinetic and fluid hybrid models for the simulation of global modes Plasma Physics and Controlled Fusion 57, 054013 (2015).
• [16] A. Mishchenko, M. Borchardt, M. Cole, R. Hatzky, T. Feher, R. Kleiber, A. Könies and A. Zocco. Global linear gyrokinetic particle-in-cell simulations including electromagnetic effects in shaped plasmas, Nuclear Fusion 55, 053006 (2015).
• [17] M.D.J. Cole, A. Mishchenko and A. Könies. Hybrid simulations of global modes in magnetic fusion devices, (oral) DPG Frühjahrstagung, Bochum, 2015
• [18] M.D.J. Cole, A. Mishchenko, A. Könies, A. Biancalani, M. Borchardt, R. Hatzky, R. Kleiber and P. Lauber. Progress in non-linear gyrokinetic simulations of global modes in tokamaks and stellarators, (invited), 14th IAEA Technical Meeting on Energetic Particles in Magnetic Confinement Systems, Vienna 1-4 Sept, 2015
• [19] M.D.J. Cole, A. Könies, A. Mishchenko, M. Borchardt, R. Hatzky and R. Kleiber. Progress in non-linear gyrokinetic simulations of global modes in tokamaks and stellarators (poster) 20th International Stellerator-Heliotron Workshop, Greifswald, 2015
• [20] M.D.J. Cole, A. Könies, A. Mishchenko, M. Borchardt, R. Hatzky and R. Kleiber. Progress in non-linear gyrokinetic simulations of global modes in tokamaks and stellarators (oral) IPP Theory Meeting, Plau am See, 2015
• [18] A. Biancalani, A. Bottino, S. Briguglio, M.D.J. Cole, C. Di Troia, A. Könies, Ph. Lauber, A. Mishchenko, B. Scott, F. Zonca. Non-perturbative nonlinear interplay of Alfvén modes and energetic ions , Invited talk at the 14th IAEA Technical Meeting on Energetic Particles in Magnetic Confinement Systems, Vienna 1-4 Sept, 2015
• [21] A. Könies, R. Kleiber, T. Feher, M. Borchardt, A. Mishchenko. CKA‐EUTERPE: A kinetic MHD model for nonlinear wave particle interaction (poster) 20th International Stellerator-Heliotron Workshop, Greifswald, 2015
• [22] A. Könies, R. Kleiber, T. Feher, M. Borchardt, A. Mishchenko. Non-linear kinetic MHD with CKA-EUTERPE (oral) IPP Theory Meeting, Plau am See, 2015
• [23] G.W. Bowden, M.J. Hole, A. Könies. Calculation of continuum damping of Alfvén eigenmodes in tokamak and stellarator equilibria (invited) 20th International Stellarator-Heliotron Workshop, Greifswald, 2015
• [24] G.W. Bowden, M.J. Hole, A. Könies. Calculation of continuum damping of Alfvén eigenmodes in tokamak and stellarator equilibria submitted to Phys. Plasmas
• [25] R. Kleiber, et al. Gyrokinetic simulations for tokamaks and stellarators (invited), 7th IAEA Technical Meeting on “Theory of Plasma Instabilities” , Frascati, 2015
• [26] R. Kleiber, M. Borchardt, M. Cole, R. Hatzky, A. Könies, A. Mishchenko, J. Riemann, E. Sonnendrücker. Present status of the EUTERPE code (oral) IPP Theory Meeting, Plau am See, 2015
• [27] A. Mishchenko, A. Bottino, R. Hatzky, R. Kleiber. Gyrokinetic PIC simulations with GYGLES, EUTERPE and ORB5 (oral) IPP Theory Meeting, Plau am See, 2015
• [28] C. Slaby. Energetic Particle Modes in Tokamaks and Stellarators Master Thesis, Ernst-Moritz-Arndt-Universität Greifswald, 2015
• [29] C. Di Troia. Bayesian derivation of plasma equilibrium distribution function for tokamak scenarios and the associated Landau collision operator, Nuclear Fusion 55, 123018 (2015). link
• [30] M Schneller, Ph. Lauber, S. Briguglio. Non-linear Energetic Particle Transport in the Presence of Multiple Alfvénic Waves in ITER, Plasma Phys. Control. Fusion 58 014019 (2015) Nuclear Fusion 55, 123018 (2015). link
• [31] M Schneller et al. Invited talk at the 42nd European Physical Society Conf. on Plasma Physics, Lisbon (Portugal) 22-26 June, 2015 PDF
• [32] M Schneller et al. Invited talk at the 14th IAEA Technical Meeting on Energetic Particles, Vienna 1-4 Sept, 2015 PDF
• [33] M Schneller et al. Invited talk at the European Fusion Theory Conference 2015, Lisbon (Portugal) 5-8 Oct, 2015 PDF
• [34] X Wang et al. Invited talk at the 14th IAEA Technical Meeting on Energetic Particles, Vienna 1-4 Sept, 2015
• [35] X Wang et al. Structure of wave-particle interactions in nonlinear Alfvénic fluctuation dynamics, submitted to Physics of Plasmas (2015)
• [36] J. Cao, Z. Qiu and F. Zonca. Fast excitation of geodesic acoustic mode by energetic particle beams. Physics of Plasmas 22, 124505 (2015). PDF (30% NLED support)
• [37] Ph. Lauber: Alfvén Eigenmode stability in DEMO, PMI-5.2.5-T002,https://idm.euro-fusion.org/?uid=2M4Z73, technical report, 23.12.2015 (20% NLED support)
• [38] D. Zarzoso et al., Verification of the 2-species version of GYSELA by means of energetic particle driven GAMs. Oral talk at the Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin2015), Garching, Germany, Oct 26-30, 2015.
• [39] M. Idouakass, M. Faganello, H. Berk, W. Garbet, S. Benkadda, Nonlinear simulations of the fishbone instability. in Proceedings of the 42^nd EPS plasma conference on Plasma Physics, Jun 22-26 (2015), Lisbon, Portugal.

Publications/presentations in 2014

• Complete list of publications and presentations in 2014.