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  • Letter
  • Open Access

Gyrokinetic electrostatic turbulence close to marginality in the Wendelstein 7-X stellarator

Alessandro Zocco1, Linda Podavini1,2,3, José Manuel Garcìa-Regaña4, Michael Barnes5, Felix I. Parra6, A. Mishchenko1, and Per Helander1

  • 1Max-Planck-Institut für Plasmaphysik, Wendelsteinstraße 1, D-17491 Greifswald, Germany
  • 2Università Milano Bicocca, Dipartimento di Fisica Giuseppe Occhialini, Piazza della Scienza, 3 20126 Milano, Italy
  • 3Institut für Physik, Universität Greifswald, 17489 Greifswald, Germany
  • 4Laboratorio Nacional de Fusión, CIEMAT, 28040 Madrid, Spain
  • 5Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, United Kingdom
  • 6Princeton Plasma Physics Laboratory, 100 Stellarator Road, Princeton, New Jersey 08540, USA

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Phys. Rev. E 106, L013202 – Published 25 July, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.L013202

Abstract

The transition from strong (fluidlike) to nearly marginal (Floquet-type) regimes of ion-temperature-gradient (ITG) driven turbulence is studied in the stellarator Wendelstein 7-X by means of numerical simulations. Close to marginality, extended (along magnetic field lines) linearly unstable modes are dominant, even in the presence of kinetic electrons, and provide a drive that results in finite turbulent transport. A total suppression of turbulence above the linear stability threshold of the ITG modes, commonly present in tokamaks and known as the “Dimits shift,” is not observed. We show that this is mostly due to the peculiar radial structure of marginal turbulence, which is more localized than in the fluid case and therefore less likely to be stabilized by shearing flows.

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References (26)

  1. A. Dinklage, C. Beidler, and the Wendelstein 7-X team, Nat. Phys. 14, 855 (2018).
  2. S. A. Bozhenkov, Y. Kazakov, O. P. Ford, M. N. A. Beurskens, J. Alcusón, J. A. Alonso, J. Baldzuhn, C. Brandt, K. J. Brunner, H. Damm, Nucl. Fusion 60, 066011 (2020).
  3. C. D. Beidler, Smith, A. H. M. Alonso, T. Andreeva, J. Baldzuhn, M. N. A. Beurskens, M. Borchardt, S. A. Bozhenkov, K. J. Brunner, H. Damm et al., Nature (London) 596, 221 (2021).
  4. J. M. Canik, D. T. Anderson, F. S. B. Anderson, K. M. Likin, J. N. Talmadge, and K. Zhai, Phys. Rev. Lett. 98, 085002 (2007).
  5. B. Geiger, T. Wegner, C. Beidler, R. Burhenn, B. Buttenschön, R. Dux, A. Langenberg, N. Pablant, T. Pütterich, Y. Turkin et al., Nucl. Fusion 59, 046009 (2019).
  6. Th. Wegner, J. A. Alcusón, B. Geiger, A. von Stechow, P. Xanthopoulos, C. Angioni, M. N. A. Beurskens, L.-G. Böttger, S. A. Bozhenkov, K. J. Brunner et al., Nucl. Fusion 60, 124004 (2020).
  7. M. Beurskens, S. Bozhenkov, O. Ford, P. Xanthopoulos, A. Zocco, Y. Turkin, A. Alonso, C. Beidler, I. Calvo, D. Carralero et al., Nucl. Fusion 61, 116072 (2021).
  8. A. Zocco, P. Xanthopoulos, H. Doerk, J. W. Connor, and P. Helander, J. Plasma Phys. 84, 715840101 (2018).
  9. D. Carralero, T. Estrada, E. Maragkoudakis, T. Windisch, J. A. Alonso, M. N. A. Beurskens, S. A. Bozhenkov, I. Calvo, H. Damm, O. P. Ford et al., Nucl. Fusion 61, 096015 (2021).
  10. M. Barnes, F. Parra, and M. Landreman, J. Comput. Phys. 391, 365 (2019).
  11. B. J. Faber, M. J. Pueschel, J. H. E. Proll, P. Xanthopoulos, P. W. Terry, C. C. Hegna, G. M. Weir, K. M. Likin, and J. N. Talmadge, Phys. Plasmas 22, 072305 (2015).
  12. L. I. Rudakov and R. Z. Sagdeev, Dokl. Akad. Nauk CCCP 138, 581 (1961).
  13. B. Coppi, M. N. Rosenbluth, and R. Z. Sagdeev, Phys. Fluids 10, 582 (1967).
  14. B. N. Rogers, W. Dorland, and M. Kotschenreuther, Phys. Rev. Lett. 85, 5336 (2000).
  15. A. M. Dimits, G. Bateman, M. A. Beer, B. I. Cohen, W. Dorland, G. W. Hammett, C. Kim, J. E. Kinsey, M. Kotschenreuther, A. H. Kritz et al., Phys. Plasmas 7, 969 (2000).
  16. E. A. Frieman and L. Chen, Phys. Fluids 25, 502 (1982).
  17. G. Roberg-Clark, G. Plunk, and P. Xanthopoulos, J. Plasma Phys. 87, 905870306 (2021).
  18. M. Barnes, F. I. Parra, and A. A. Schekochihin, Phys. Rev. Lett. 107, 115003 (2011).
  19. G. G. Plunk, P. Xanthopoulos, and P. Helander, Phys. Rev. Lett. 118, 105002 (2017).
  20. A. A. Schekochihin, S. C. Cowley, W. Dorland, G. W. Hammett, G. G. Howes, G. G. Plunk, E. Quataert, and T. Tatsuno, Plasma Phys. Control. Fusion 50, 124024 (2008).
  21. D. A. St-Onge, J. Plasma Phys. 83, 905830504 (2017).
  22. D. R. Mikkelsen and W. Dorland, Phys. Rev. Lett. 101, 135003 (2008).
  23. Z. Lin, T. S. Hahm, W. W. Lee, W. M. Tang, and R. B. White, Science 281, 1835 (1998).
  24. P. Xanthopoulos, H. E. Mynick, P. Helander, Y. Turkin, G. G. Plunk, F. Jenko, T. Görler, D. Told, T. Bird, and J. H. E. Proll, Phys. Rev. Lett. 113, 155001 (2014).
  25. A. Bader, B. J. Faber, J. C. Schmitt, D. T. Anderson, M. Drevlak, J. M. Duff, H. Frerichs, C. C. Hegna, T. G. Kruger, M. Landreman et al., J. Plasma Phys. 86, 905860506 (2020).
  26. P. W. Terry, P.-Y. Li, M. J. Pueschel, and G. G. Whelan, Phys. Rev. Lett. 126, 025004 (2021).

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Phys. Rev. E 106, L013202– Published 25 July, 2022
  • Received 28 January 2022
  • Accepted 7 July 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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