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Contents 1 Theory and simulation of energetic particle dynamics and ensuing collective behaviors in fusion plasmas 2 1. Objectives of the NLED project 2015-17 3 2. Main ongoing research activities in 2015 4 3. Activity Reports from previous years 5 4. Upcoming Web Seminars and Rehearsals 6 5. Web Seminars and Rehearsals in 2015 7 6. Publications/presentations in 2015 8 7. 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, Michael Cole, Claudio Di Troia, Remi Dumont, Matteo Faganello, Giuliana Fogaccia, Valeria Fusco, Xavier Garbet, Malik Idouakass, Ralf Kleiber, Axel Koenies, Philipp Lauber, Pierluigi Migliano, Alexander Milovanov, Oleksiy Mishchenko, Giovanni Montani, Mirjam Schneller, Gregorio Vlad, Xin Wang, David Zarzoso

Participating Research Institutions:

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

1. 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.

2. Main ongoing research activities in 2015

3. Activity Reports from previous years

• [1] 2014 NLED Activity Report. PDF

4. Upcoming Web Seminars and Rehearsals

• [1] Author To be scheduled.

5. Web Seminars and Rehearsals in 2015

• [1] M. Falessi Transport processes in plasma physics: a new approach. Web Seminar, Frascati, Italy, March 19, 2015. (slides available from Matteo Falessi)
• [2] M. Schneller Nonlinear energetic particle transport in the presence of multiple Alfvénic waves in ITER. Web Seminar, Frascati, Italy, April 28, 2015. (slides available from Mirjam Schneller)
• [3] J.-B. Girardo Parametric decay of an EGAM into ITG modes. Web Seminar/EPS Rehearsal, Cadarache, France, June 16, 2015. (slides available from Jean-Baptiste Girardo)
• [4] C. Slaby Non-perturbative investigation of Alfvén Eigenmodes in Tokamaks and Stellarators with a shooting method. Web Seminar, Greifswald, Germany, June 18, 2015. (slides available from Christoph Slaby)
• [5] A. Biancalani Linear and nonlinear gyrokinetic simulations of Alfvén instabilities. Web Seminar, Garching, Germany, July 21, 2015. (slides available from Alessandro Biancalani)
• [6] X. Wang Structure of wave-particle interactions in nonlinear Alfvénic fluctuation dynamics. Web Seminar/ITPA TM EP Rehearsal, Garching, Germany, August 26, 2015. (slides available from Xin Wang)
• [7] A. Biancalani Non-perturbative nonlinear interplay of Alfvén modes and energetic ions. Web Seminar/ITPA TM EP Rehearsal, Garching, Germany, August 26, 2015. (slides available from Alessandro Biancalani)
• [8] M. Cole Progress in non-linear gyrokinetic simulations of global modes in tokamaks and stellarators. Web Seminar/ITPA TM EP Rehearsal, Greifswald, Germany, August 26, 2015. (slides available from Michael Cole)
• [9] C. Di Troia Bayesian derivation of the equilibrium distribution function in tokamak scenarios. Web Seminar, Frascati, Italy, September 10, 2015. (slides available from Claudio Di Troia)

6. 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. Poster at the 14th IAEA TCM on Energetic Particles in Magnetic Confinement Systems, Vienna, September 1-4, 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, 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
• [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-universit\"at Greifswald, 2015

7. Publications/presentations in 2014

• [1] F. Zonca and L. Chen, Theory on excitations of drift Alfvén waves by energetic particles. I. Variational formulation. Phys. Plasmas 21, 072120 (2014). PDF (50% NLED support)
• [2] F. Zonca and L. Chen, Theory on excitations of drift Alfvén waves by energetic particles. II. The general fishbone-like dispersion relation. Phys. Plasmas 21, 072121 (2014). PDF (50% NLED support)
• [3] F. Zonca et al. Energetic particles and multi-scale dynamics in fusion plasmas. Plenary invited presentation at the 41.st EPS Conference on Plasma Physics, Berlin, Germany, June 23 - 27 June (2014); and Plasma Phys. Contr. Fusion 57, 014024 (2015). PDF (80% NLED support)
• [4] F. Zonca et al. Nonlinear dynamics of phase space zonal structures and energetic particle physics in fusion plasmas. New. J. Phys. 17, 013052 (2015). PDF (80% NLED support)
• [5] S. Briguglio et al. Analysis of the nonlinear behavior of shear-Alfvén modes in tokamaks based on Hamiltonian mapping techniques, Physics of Plasmas 21, 112301 (2014). PDF
• [6] X. Wang et al. Studies of nonlinear dynamics of wave-particle interactions in Tokamak plasmas based on Hamiltonian mapping techniques. Invited presentation at the Joint Varenna - Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, Italy, September 1 - 5 (2014). PDF
• [7] X. Wang et al. Structure of wave-particle interactions in nonlinear beta induced Alfvén eigenmode dynamics. Invited talk to be presented at the 7^th IAEA Technical Meeting on Plasma Instabilities, Frascati, Italy, March 4-6, 2015. PDF
• [8] J.-B. Girardo et al. Relation between energetic and standard geodesic acoustic modes, Phys. Plasmas 21, 092507 (2014). PDF (50% NLED support)
• [9] D. Zarzoso et al. Analytic dispersion relation of energetic particle driven geodesic acoustic modes and simulations with NEMORB, Nucl. Fusion 54, 103006 (2014). PDF (50% NLED support)
• [10] A. Biancalani et al. Global Gyrokinetic Modeling of Geodesic Acoustic Modes and Shear Alfvén Instabilities in ASDEX Upgrade. Presented at the 25^th IAEA Fusion Energy Conference, Saint Petersburg, Russia, Oct. 13 – 18, 2014. Paper EX/P1-18. PDF
• [11] G. Fogaccia et al. Linear benchmark activity of HYMAGYC code. To be presented at the 7^th IAEA Technical Meeting on Plasma Instabilities, Frascati, Italy, March 4-6, 2015. PDF
• [12] V. Fusco et al. Analysis of the electron fishbone instability with the XHMGC code. To be presented at the 7^th IAEA Technical Meeting on Plasma Instabilities, Frascati, Italy, March 4-6, 2015. PDF
• [13] C. Di Troia et al. Effects of ECRH-like and LHH-like anisotropies in phase space on electron fishbone resonant excitation. To be presented at the 7^th IAEA Technical Meeting on Plasma Instabilities, Frascati, Italy, March 4-6, 2015. PDF
• [14] C. Di Troia and A. Biancalani, Bayesian derivation of plasma equilibrium distribution function for tokamak scenarios. Presented at the 25^th IAEA Fusion Energy Conference, Saint Petersburg, Russia, Oct. 13 – 18, 2014. Paper TH/P7-6. PDF
• [15] C. Di Troia.Bayesian derivation of plasma equilibrium distribution function for tokamak scenarios and the associated Landau Collision operator. Submitted to Nucl. Fusion.
• [16] F. Zonca et al. Role of phase locking in nonlinear dynamics of fishbones and EPMs. Paper BP8.00039, Bull. Am. Phys. Soc. 59, No. 15, (2014). PDF
• [17] S. D. Pinches and Ph. Lauber et al. Energetic Ions in ITER Plasmas. Submitted to Physics of Plasmas, 2014. (20% NLED support)
• [18] Ph. Lauber et al. Kinetic Models for Energetic Particle Physics in Tokamaks - Verification, Validation and Predictions for ITER. Presented at the Joint Varenna - Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, Italy, September 1 - 5 (2014). PDF (50% NLED support).
• [19] Ph. Lauber. Local and Global Kinetic Stability Analysis of Alfvén Eigenmodes in the 15 MA ITER Scenario. Submitted to Plasma Physics and Controlled Fusion, 2014. (70% NLED support)
• [20] M. Schneller et al. Study of Nonlinear Fast Particle Transport and Losses in the Presence of Alfvén Waves. Presented at the Joint Varenna - Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, Italy, September 1 - 5 (2014). PDF (80% NLED support)
• [21] M. Schneller et al. Study of Nonlinear Fast Particle Transport in the Presence of Alfvén Waves for the ITER 15 MA Scenario. Presented at the 25^th IAEA Fusion Energy Conference, Saint Petersburg, Russia, Oct. 13 – 18, 2014, Paper TH/P2-06. PDF (80% NLED support)
• [22] S. Briguglio et al. Nonlinear dynamics of the n=6 TAE: comparison between HMGC, HAGIS and EUTERPE results. Presented at the 13th Meeting of the ITPA Energetic Particle Topical Group (Joint Meeting of ITPA MHD, Disruptions & Control and Energetic Particle Physics Topical Groups) Oct 21- 23, 2014, Padova, Italy. PDF
• [23] A. Mishchenko et al. Gyrokinetic particle-in-cell simulations of Alfvén eigenmodes in presence of continuum effects, Phys. Plasmas 21, 052114 (2014). PDF
• [24] A. Mishchenko et al. New variables for gyrokinetic electromagnetic simulations, Phys. Plasmas 21, 052113 (2014). PDF (60% NLED support)
• [25] M. Cole et al. Fluid electron, gyrokinetic ion simulations of linear internal kink and energetic particle modes, Phys. Plasmas 21, 072123 (2014). PDF
• [26] A. Mishchenko et al. Pullback transformation in gyrokinetic electromagnetic simulations, Phys. Plasmas 21, 092110 (2014). PDF (60% NLED support)
• [27] A. Mishchenko et al. Global hybrid-gyrokinetic simulations of fast-particle effects on Alfvén Eigenmodes in stellarators, Nucl. Fusion 54, 104003 (2014). PDF
• [28] A. Mishchenko et al. Global gyrokinetic particle-in-cell simulations of Alfvénic modes. Presented at the 25^th IAEA Fusion Energy Conference, Saint Petersburg, Russia, Oct. 13 – 18, 2014. Paper TH/P4-49.PDF (70% NLED support)
• [29] M. Cole et al. A hierarchy of models for numerical simulation of global modes. Presented at the Joint Varenna - Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, Italy, September 1 - 5 (2014). PDF
• [30] A. Könies et al. A non-linear Hybrid MHD-gyrokinetic Model with fixed mode structure in stellarator geometry. Presented at the 12th Meeting of the ITPA Energetic Particle Topical Group, Mar. 31 – Apr. 3, 2014, Madrid, Spain. PDF
• [31] M. Cole et al. Fluid electron, kinetic ion simulations of Alfvénic instabilities Presented at the 12th Meeting of the ITPA Energetic Particle Topical Group, Mar. 31 – Apr. 3, 2014, Madrid, Spain. PDF