- Letter
- Open Access
First experimental observation of zonal flows in the optimized stellarator Wendelstein 7-X
Phys. Rev. Research 7, L022009 – Published 8 April, 2025
DOI: https://doi.org/10.1103/PhysRevResearch.7.L022009
Abstract
In this work, we present the first experimental evidence of the presence of zonal flow (ZF) structures in the optimized stellarator Wendelstein 7-X. Using an assortment of diagnostics, flux surface-uniform, electrostatic flow oscillations have been measured, showing a radial scale in the range of tens of ion gyroradii. As well, indications are found of local turbulence being modulated by the ZF. Measurements show remarkable agreement with the ZF predicted by nonlinear gyrokinetic simulations. These results represent the first direct measurement of ZF in a large stellarator suitable for the validation of models in reactor-relevant conditions.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (37)
- B. Galperin, and P. L. Read, Zonal Jets: Phenomenology, Genesis, and Physics (Cambridge University Press, Cambridge, 2019).
- P. H. Diamond et al., Zonal flows in plasma—a review, Plasma Phys. Control. Fusion 47, R35 (2005).
- A. Di Siena et al., New high-confinement regime with fast ions in the core of fusion plasmas, Phys. Rev. Lett. 127, 025002 (2021).
- Z. Lin et al., Turbulent transport reduction by zonal flows: Massively parallel simulations, Science 281, 1835 (1998).
- P. W. Terry et al., Overview of gyrokinetic studies of finite- microturbulence, Nucl. Fusion 55, 104011 (2015).
- R. C. Wolf et al., Major results from the first plasma campaign of the Wendelstein 7-X stellarator, Nucl. Fusion 57, 102020 (2017).
- C. D. Beidler et al., Demonstration of reduced neoclassical energy transport in Wendelstein 7-X, Nature (London) 596, 221 (2021).
- A. Dinklage et al., Magnetic configuration effects on the Wendelstein 7-X stellarator, Nat. Phys. 14, 855 (2018).
- S. Bozhenkov et al., High-performance plasmas after pellet injections in Wendelstein 7-X, Nucl. Fusion 60, 066011 (2020).
- A. Zocco et al., Electron-temperature-gradient-driven ion-scale turbulence in high-performance scenarios in Wendelstein 7-X, Phys. Rev. Res. 6, 033099 (2024).
- T.-H. Watanabe et al., Reduction of turbulent transport with zonal flows enhanced in helical systems, Phys. Rev. Lett. 100, 195002 (2008).
- F. Warmer et al., Impact of magnetic field configuration on heat transport in stellarators and heliotrons, Phys. Rev. Lett. 127, 225001 (2021).
- A. Fujisawa et al., Identification of zonal flows in a toroidal plasma, Phys. Rev. Lett. 93, 165002 (2004).
- M. A. Pedrosa, C. Silva, C. Hidalgo, B. A. Carreras, R. O. Orozco, D. Carralero, T. J.-II team, Evidence of long-distance correlation of fluctuations during edge transitions to improved-confinement regimes in the TJ-II stellarator, Phys. Rev. Lett. 100, 215003 (2008).
- J. A. Alonso et al., Observation of oscillatory radial electric field relaxation in a helical plasma, Phys. Rev. Lett. 118, 185002 (2017).
- D. Carralero et al., Characterization of the radial electric field and edge velocity shear in Wendelstein 7-X, Nucl. Fusion 60, 106019 (2020).
- T. Estrada et al., Radial electric field and density fluctuations measured by Doppler reflectometry during the post-pellet enhanced confinement phase in W7-X, Nucl. Fusion 61, 046008 (2021).
- T. Windisch et al., “Doppler reflectometry system upgrades for Wendelstein 7-X OP2”, 23rd International Stellarator & Helliotron Workshop (ISHW), Warsaw, Poland (2022).
- T. Windisch et al., Initial Results of the Upgraded Doppler Reflectometry Systems at Wendelstein 7-X (49th EPS Conference on Plasma Physics, Bordeaux, 2023).
- N. B. Marushchenko et al., Ray-tracing code TRAVIS for ECR heating, EC current drive and ECE diagnostic, Comput. Phys. Commun. 185, 165 (2014).
- T. Estrada et al., A new approach to detect coherent modes using microwave reflectometry, Nucl. Fusion 52, 082002 (2012).
- D. Carralero et al., On the role of density fluctuations in the core turbulent transport of Wendelstein 7-X, Plasma Phys. Control. Fusion 64, 044006 (2022).
- A. B. Navarro et al., First-principles based plasma profile predictions for optimized stellarators, Nucl. Fusion 63, 054003 (2023).
- S. B. Ballinger et al., Dynamics and dependencies of the configuration-dependent 1-2 kHz fluctuation in W7-X, Nucl. Mater. Energy 27, 100967 (2021).
- J.-P. Baehner et al., Zonal-flow-like modulations of the binormal flow velocity in Wendelstein 7-X, 23rd International Stellarator & Helliotron Workshop (ISHW), Warsaw, Poland (2022).
- K. J. Brunner et al., Real-time dispersion interferometry for density feedback in fusion devices, J. Inst. 13, P09002 (2018).
- C. Brandt et al., Soft x-ray tomography measurements in the Wendelstein 7-X stellarator, Plasma Phys. Control. Fusion 62, 035010 (2020).
- K. Rahbarnia et al., Alfvénic fluctuations measured by in-vessel Mirnov coils at the Wendelstein 7-X stellarator, Plasma Phys. Control. Fusion 63, 015005 (2021).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L022009 for details on the radial correlation and turbulence modulation analysis.
- A. Fujisawa et al., Experimental progress on zonal flow physics in toroidal plasmas, Nucl. Fusion 47, S718 (2007).
- J. A. Alonso et al., Dynamic transport regulation by zonal flow-like structures in the TJ-II stellarator, Nucl. Fusion 52, 063010 (2012).
- R. Kleiber et al., EUTERPE: A global gyrokinetic code for stellarator geometry, Comput. Phys. Commun. 295, 109013 (2024)
- E. Sánchez et al., Instabilities and turbulence in stellarators from the perspective of global codes, Nucl. Fusion 63, 046013 (2023).
- E. Sánchez et al., Nonlinear gyrokinetic PIC simulations in stellarators with the code EUTERPE, J. Plasma Phys. 86, 855860501 (2020).
- M. Barnes et al., Stella: A mixed implicit-explicit, -gyrokinetic code for general magnetic field configurations, J. Comput. Phys. 391, 365 (2019).
- A. González-Jerez et al., Electrostatic microturbulence in W7-X: Comparison of local gyrokinetic simulations with Doppler reflectometry measurements, Nucl. Fusion 64, 076029 (2024).
- J. S. Bendat and A. G. Piersol, Random Data: Analysis and Measurement Procedures (John Wiley and Sons, New York, 2010).