It is shown that the radial profile of the electron temperature in the Globus-M2 spherical tokamak is related to the radial profile of the electron density by a power law \({{T}_{e}}(\rho ) = {\text{const}}{\kern 1pt} {{n}_{e}}{{(\rho )}^{{1.65}}}\). An analytical model of the density attractor, assuming the dependence of \({{n}_{e}}\) on the specific poloidal volume v, previously tested on the TCV and JET tokamaks with a large aspect ratio, holds on the spherical tokamak, and the approximation of 162 experimental profiles has resulted in \({{n}_{e}}(\rho ){v}{{(\rho )}^{{1.06}}} = {\text{const}}\). The proposed model makes it possible to calculate the spatial distribution \({{T}_{e}}(\rho )\) and \({{n}_{e}}(\rho )\) according to a known magnetic configuration.
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ACKNOWLEDGMENTS
We are grateful to A.Yu. Dnestrovskij for fruitful discussions. Experiments were performed at the unique Globus-M spherical tokamak, which is a part of the Federal Center for Collective Use “Materials Science and Diagnostics in Advanced Technologies,” Ioffe Institute.
Funding
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (contract no. 0034-2021-0001, experiments on plasma heating using neutral injection, and contract no. 0040-2019-0023, measurement of the spatial electron temperature and density distributions and processing of the experimental results).
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Kurskiev, G.S., Yankov, V.V., Gusev, V.K. et al. Neo-Canonical Profiles of the Electron Density and Temperature of the Plasma in the Hot Ion Mode at the Globus-M2 Tokamak. Jetp Lett. 119, 34–39 (2024). https://doi.org/10.1134/S0021364023603093
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DOI: https://doi.org/10.1134/S0021364023603093