For low-frequency \((0 < f < 20\) kHz) plasma electric potential oscillations, measured in two toroidally spaced vertical cross sections of the TJ-II stellarator (\(R = 1.5\) m, \(a = 0.22\) m, \(B = 1\) T) using double heavy ion beam probe diagnostics, long-range correlations are observed, as well as their toroidal and poloidal symmetry \(n = m = 0\). It is shown that long-range correlations do not have a magnetic or density component. Thus, the low-frequency symmetric structures of the electric potential found in the hot plasma area are zonal flows. Their quantitative characteristic is the square coherence coefficient \({{\gamma }^{2}}\). A two-dimensional map of zonal flows (long-range correlations) in the low-density \({{\bar {n}}_{e}} = 0.5 \times {{10}^{{19}}}\) m–3 regime with ECR heating has been plotted for the first time and their ballooning structure (dominance \({{\gamma }^{2}}\) on the low field side of the vessel) has been found. The decrease in the level of electrostatic turbulence (\(0 < f < 300\) kHz) observed in this region is consistent with the theoretically predicted suppression of broadband turbulence due to zonal flows.
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ACKNOWLEDGMENTS
We are deeply grateful to the TJ-II stellarator team, CIEMAT (Madrid, Spain), led by Carlos Hidalgo, and the HIBP group from the National Science Center Kharkov Institute of Physics and Technology (Kharkov, Ukraine), led by A.S. Kozachek and L.I. Krupnik, for many years of trilateral collaboration in research on TJ-II, for help in carrying the experiments, and for productive discussions.
Funding
A.V. Melnikov acknowledges the support of the Ministry of Science and Higher Education (the competitiveness program for National Research Nuclear University MEPhI).
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Sarancha, G.A., Eliseev, L.G., Khabanov, P.O. et al. Identification of Zonal Flows and Their Spatial Distribution in the TJ-II Stellarator Plasmas. Jetp Lett. 116, 98–104 (2022). https://doi.org/10.1134/S0021364022601178
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DOI: https://doi.org/10.1134/S0021364022601178