Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-14T22:22:03.139Z Has data issue: false hasContentIssue false
  • English
  • Français

Bispectral analysis of broadband turbulence and geodesic acoustic modes in the T-10 tokamak

Part of: Advancing Plasma Physics Frontiers Through Collaboration with Fusion Science Focus on Fusion

Published online by Cambridge University Press:  11 June 2021

Greg A. Riggs Open the ORCID record for Greg A. Riggs [Opens in a new window] ,
S.H. Nogami Open the ORCID record for S.H. Nogami [Opens in a new window] ,
M.E. Koepke Open the ORCID record for M.E. Koepke [Opens in a new window] ,
A.V. Melnikov Open the ORCID record for A.V. Melnikov [Opens in a new window] ,
L.G. Eliseev Open the ORCID record for L.G. Eliseev [Opens in a new window] ,
S.E. Lysenko Open the ORCID record for S.E. Lysenko [Opens in a new window] ,
P.O. Khabanov Open the ORCID record for P.O. Khabanov [Opens in a new window] ,
M.A. Drabinskij ,
N.K. Kharchev Open the ORCID record for N.K. Kharchev [Opens in a new window]  and
A.S. Kozachek
...Show all authors
Greg A. Riggs
Affiliation:
Department of Physics and Astronomy, West Virginia University, Morgantown, WV 26505, USA
S.H. Nogami
Affiliation:
Department of Physics and Astronomy, West Virginia University, Morgantown, WV 26505, USA
M.E. Koepke*
Affiliation:
Department of Physics and Astronomy, West Virginia University, Morgantown, WV 26505, USA
A.V. Melnikov
Affiliation:
National Research Centre ‘Kurchatov Institute', Moscow 123182, Russian Federation National Research Nuclear University MEPhI, Moscow 115409, Russian Federation Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russian Federation
L.G. Eliseev
Affiliation:
National Research Centre ‘Kurchatov Institute', Moscow 123182, Russian Federation
S.E. Lysenko
Affiliation:
National Research Centre ‘Kurchatov Institute', Moscow 123182, Russian Federation
P.O. Khabanov
Affiliation:
National Research Centre ‘Kurchatov Institute', Moscow 123182, Russian Federation Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russian Federation
M.A. Drabinskij
Affiliation:
National Research Centre ‘Kurchatov Institute', Moscow 123182, Russian Federation Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russian Federation
N.K. Kharchev
Affiliation:
National Research Centre ‘Kurchatov Institute', Moscow 123182, Russian Federation Prokhorov General Physics Institute, RAS, Moscow 117942, Russian Federation
A.S. Kozachek
Affiliation:
Institute of Plasma Physics, NSC KIPT, Kharkov 310108, Ukraine
M.V. Ufimtsev
Affiliation:
Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow 119991, Russian Federation
HIBP Team
Affiliation:
Institute of Plasma Physics, NSC KIPT, Kharkov 310108, Ukraine
*
†Email address for correspondence: Mark.Koepke@mail.wvu.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

Local fluctuations of electrostatic potential, poloidal electric field, magnetic potential and electron density are simultaneously measured in the T-10 tokamak by a heavy ion beam probe (HIBP) having a five-slit energy analyser, which allows an estimate of the turbulent particle flux and $\boldsymbol {E}\times \boldsymbol {B}$ rotation velocity in the off-minor-axis gradient zone of the toroidal plasma column. The high spatial and temporal resolution of the modern multichannel HIBP makes it an effective tool to study plasma oscillations. Motivated by previous work that has documented time-resolved interactions between measured plasma parameters using correlation analysis (coherence of $E_{\textrm {pol}}$ and density $n_e$, and cross-phase), a new result from bicorrelation analysis (bicoherence of magnetic potential $A_\zeta$ and density $n_e$, and biphase) is reported for documenting the evidence of wave–wave coupling and energy transfer associated with the interaction between geodesic acoustic modes (GAM) and broadband, quasi-coherent modes.

Keywords

plasma nonlinear phenomena
Type
Research Article
Information
Journal of Plasma Physics , Volume 87 , Issue 3 , June 2021 , 885870301
Check for updates
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Conway, G.D., Angioni, C., Ryter, F., Sauter, P., Vicente, F. & ASDEX Upgrade Team 2011 Mean and oscillating plasma flows and turbulence interactions across the L-H confinement transition. Phys. Rev. Lett. 106, 065001.CrossRefGoogle ScholarPubMed
Cziegler, I., Tynan, G.R., Diamond, P.H., Hubbard, A.E., Hughes, J.W., Irby, J. & Terry, J.L. 2015 Nonlinear energy transfer in heated L-modes approaching the L-H transition in Alcator C-Mod. Nucl. Fusion 55, 083007.CrossRefGoogle Scholar
Demers, D.R., Schoch, P.M., Crowley, T.P., Connor, K.A. & Ouroua, A. 2001 Radial electrostatic flux inferred from core measurements of potential and density fluctuations. Phys. Plasmas 8, 1278–1288.CrossRefGoogle Scholar
Diamond, P.H., Itoh, S.I., Itoh, K. & Hahm, T.S. 2005 Zonal flows in plasma – a review. Plasma Phys. Control. Fusion 47, R35.CrossRefGoogle Scholar
Dnestrovskij, Y.N., Melnikov, A.V., Krupnik, L.I. & Nedzelskij, I.S. 1994 Development of heavy ion beam probe diagnostics. IEEE Trans. Plasma Sci. 22, 310–331.CrossRefGoogle Scholar
Eliseev, L.G., Melnikov, A.V., Lysenko, S.E., Khabanov, P.O., Zenin, V.N., Drabinskij, M.A., Kharchev, N.K., Kozachek, A.S., Krupnik, L.I. & HIBP Team 2018 Evaluation of turbulent particle flux by heavy ion beam probe in the T-10 tokamak. Plasma Fusion Res. 13, 3402106.CrossRefGoogle Scholar
Fujisawa, A., Ido, T., Shimizu, A., Okamura, S., Matsuoka, K., Iguchi, H., Hamada, Y., Nakano, H., Ohshima, S., Itoh, K., et al. 2007 Experimental progress on zonal flow physics in toroidal plasmas. Nucl. Fusion 47, S718.CrossRefGoogle Scholar
Gryaznevich, M., Stöckel, J., Van Oost, G., Del Bosco, E., Svoboda, V., Melnikov, A., Kamendje, R., Malaquias, A., Mank, G., Miklaszewski, R., et al. 2020 Contribution of joint experiments on small tokamaks in the framework of IAEA coordinated research projects to mainstream fusion research. Plasma Sci. Technol. 22, 055102.CrossRefGoogle Scholar
Jobes, F.C. & Hickock, R.L. 1970 A direct measurement of plasma space potential. Nucl. Fusion 10, 195.CrossRefGoogle Scholar
Kim, Y.C., Beall, J.M. & Powers, E.J. 1980 Bispectrum and nonlinear wave coupling. Phys. Fluids 23, 258–263.CrossRefGoogle Scholar
Kim, Y.C. & Powers, E.J. 1979 Digital bispectral analysis and its application to nonlinear wave interactions. IEEE Trans. Plasma Sci. PS-7, 120–131.CrossRefGoogle Scholar
Melnikov, A.V. 2016 Applied and fundamental aspects of fusion science. Nat. Phys. 12, 386–390.CrossRefGoogle Scholar
Melnikov, A.V. 2019 Electric Potential in Toroidal Plasmas. Springer.CrossRefGoogle Scholar
Melnikov, A.V., Eliseev, L.G., Jiménez-Gómez, R., Ascasibar, E., Hidalgo, C., Chmyga, A.A., Komarov, A.D., Kozachok, A.S., Krasilnikov, I.A., Khrebtov, S.M., et al. 2010 Internal measurements of Alfvén eigenmodes with heavy ion beam probing in toroidal plasmas. Nucl. Fusion 50, 084023.CrossRefGoogle Scholar
Melnikov, A.V., Eliseev, L.G., Lysenko, S.E., Perfilov, S.V., Shurygin, R.V., Krupnik, L.I., Kozachek, A.S. & Smolyakov, A.I. 2015 a Radial homogeneity of geodesic acoustic modes in ohmic discharges with low $B$ in the T-10 tokamak. JETP Lett. 100, 555–560.CrossRefGoogle Scholar
Melnikov, A.V., Eliseev, L.G., Lysenko, S.E., Ufimtsev, M.V. & Zenin, V.N. 2017 a Study of interactions between GAMs and broadband turbulence in the T-10 tokamak. Nucl. Fusion 57, 115001.CrossRefGoogle Scholar
Melnikov, A.V., Eliseev, L.G., Perfilov, S.V., Andreev, V.F., Grashin, S.A., Dyabilin, K.S., Chudnovskiy, A.N., Isaev, M.Y., Lysenko, S.E., Mavrin, V.A., et al. 2013 Electric potential dynamics in OH and ECRH plasmas in the T-10 tokamak. Nucl. Fusion 53, 093019.CrossRefGoogle Scholar
Melnikov, A.V., Eliseev, L.G., Perfilov, S.V., Lysenko, S.E., Shurygin, R.V., Zenin, V.N., Grashin, S.A., Krupnik, L.I., Kozachek, A.S., Solomatin, R.Y., et al. 2015 b The features of the global GAM in OH and ECRH plasmas in the T-10 tokamak. Nucl. Fusion 55, 063001.CrossRefGoogle Scholar
Melnikov, A.V., Krupnik, L.I., Eliseev, L.G., Barcala, J.M., Bravo, A., Chmyga, A.A., Deshko, G.N., Drabinskij, M.A., Hidalgo, C., Khabanov, P.O., et al. 2017 b Heavy ion beam probing – diagnostics to study potential and turbulence in toroidal plasmas. Nucl. Fusion 57, 072004.CrossRefGoogle Scholar
Melnikov, A.V., Vershkov, V.A., Eliseev, L.G., Grashin, S.A., Gudozhnik, A.V., Krupnik, L.I., Lysenko, S.E., Mavrin, V.A., Perfilov, S.V., Sheluhkin, D.A., et al. 2006 Investigation of geodesic acoustic mode oscillations in the T-10 tokamak. Plasma Phys. Control. Fusion 48, S87.CrossRefGoogle Scholar
Riggs, G.A. 2020 Interpretations of bicoherence in space & lab plasma dynamics. MS thesis, West Virgina University.Google Scholar
Stauber, R. 1995 Applicability of bispectral analysis to unstable plasma waves. MS thesis, West Virgina University.Google Scholar
Stauber, R. & Koepke, M.E. 2021 Applicability of bispectral analysis to unstable plasma waves. Plasma Phys. Control. Fusion (submitted).Google Scholar
Vershkov, V.A., Sarychev, D.V., Notkin, G.E., Shelukhin, D.A., Buldakov, M.A., Dnestrovskij, Y.N., Grashin, S.A., Kirneva, N.A., Krupin, V.A., Klyuchnikov, L.A., et al. 2017 Review of recent experiments on the T-10 tokamak with all metal wall. Nucl. Fusion 57, 102017.CrossRefGoogle Scholar
Vershkov, V.A., Shelukhin, D.A., Subbotin, G.F., Dnestrovskij, Y.N., Danilov, A.V., Melnikov, A.V., Eliseev, L.G., Maltsev, S.G., Gorbunov, E.P., Sergeev, D.S., et al. 2015 Density fluctuations as an intrinsic mechanism of pressure profile formation. Nucl. Fusion 55, 063014.CrossRefGoogle Scholar
Xu, M., Tynan, G.R., Holland, C., Yan, Z., Muller, S.H. & Yu, J.H. 2009 Study of nonlinear spectral energy transfer in frequency domain. Phys. Plasmas 16, 5195.CrossRefGoogle Scholar