Abstract
The study is continued of the temporal changes of the parameters of turbulent plasma density fluctuations during multi-pulse electron cyclotron (EC) heating of the plasma on the L-2M stellarator. The plasma density fluctuations with different wave vectors (k = 30, 20, 2, and 1 cm –1) in different spatial regions of the plasma column were recorded by the method of collective scattering of microwave radiation. The time dependence of plasma density fluctuations, which has a bursty shape, was analyzed, including the discharges in which the gyroresonance region was shifted by 3–4 cm from the center of the plasma column toward the inside of the torus. A comparison was made between the specificities of the evolution of plasma density fluctuations and the evolution of their statistical characteristics. It was found that the kurtosis (M4) of the scattering signals deviates from the value 3, which also occurs in bursts. During a EC heating pulse, three groups of different bursts (of signal intensity, its kurtosis and their increments) were observed. Autocorrelation analysis of density fluctuations and their increment was carried out and it showed that the half-width of the autocorrelation functions changes during multi-pulse EC heating. The probability of the initiation of bursty processes by perturbations in the near-wall plasma region is discussed.
Similar content being viewed by others
REFERENCES
T. S. Hahm and P. H. Diamond, J. Korean Phys. Soc. 73, 747 (2018). https://doi.org/10.3938/jkps.73.747
J. Anderson, K. Imadera, Y. Kishimoto, J. Q. Li, and H. Nordman, Nucl. Fusion 57, 066013 (2017). https://doi.org/10.1088/1741-4326/aa686b
S. Garland, K. Reuther, M. Ramisch, and P. Manz, Phys. Plasmas 24, 112307 (2017). https://doi.org/10.1063/1.4991609
G. M. Batanov, M. S. Berezhetskii, V. D. Borzosekov, S. E. Grebenshchikov, I. A. Grishina, V. A. Ivanov, N. K. Kharchev, A. A. Kharchevsky, Yu. V. Kholnov, L. V. Kolik, E. M. Konchekov, A. A. Letunov, V. P. Logvinenko, D. V. Malakhov, A. I. Meshcheryakov, et al., in Proceedings of the 44th EPS Conference on Plasma Physics and Controlled Fusion, Belfast, 2017, ECA 41F, Paper P2.154 (2017). http://ocs.ciemat.es/EPS2017PAP/pdf/P2.154.pdf.
G. M. Batanov, V. D. Borzosekov, D. G. Vasil’kov, S. E. Grebenshchikov, L. V. Kolik, E. M. Konchekov, A. A. Letunov, A. E. Petrov, V. D. Stepakhin, N. K. Kharchev, and A. A. Kharchevskii, Plasma Phys. Rep. 45, 732 (2019). https://doi.org/10.1134/S1063780X19080014
G. M. Batanov, V. D. Borzosekov, L. M. Kovrizhnykh, L. V. Kolik, E. M. Konchekov, D. V. Malakhov, A. E. Petrov, K. A. Sarksyan, N. N. Skvortsova, V. D. Stepakhin, and N. K. Kharchev, Plasma Phys. Rep. 39, 444 (2013). https://doi.org/10.1134/S1063780X13060019
N. N. Skvortsova, D. K. Akulina, G. M. Batanov, N. K. Kharchev, L. V. Kolik, L. V. Kovrizhnykh, A. A. Letunov, V. P. Logvinenko, D. V. Malakhov, A. E. Petrov, A. A. Pshenichnikov, K. A. Sarksyan, and G. S. Voronov, Plasma Phys. Control. Fusion 52, 055008 (2010). https://doi.org/10.1088/0741-3335/52/5/055008
G. M. Batanov, V. D. Borzosekov, I. Yu.Vafin, A. A. Letunov, D. V. Malakhov, A. I. Meshcheryakov, K. A. Sarksyan, N. N. Skvortsova, N. K. Kharchev, V. I. Khvesyuk, and A. Yu. Chirkov, in XLI International Zvenigorod Conference on Plasma Physics and Controlled Fusion, Zvenigorod,2017, Book of Abstracts, p. 111.
N. N. Skvortsova, A. Yu. Chirkov, A. A. Kharchevsky, D. V. Malakhov, A. K. Gorshenin, and V. Yu. Korolev, J. Phys.: Conf. Ser. 666, 012007 (2016). https://doi.org/10.1088/1742-6596/666/1/012007
T. L. Rhodes, W. A. Peebles, M. A. Van Zeeland, J. S. deGrassie, R. V. Bravenec, K. H. Burrell, J. C. DeBoo, J. Lohr, C. C. Petty, X. V. Nguyen, E. J. Doyle, C. M. Greenfield, L. Zeng, and G. Wang, Phys. Plasmas 14, 056117 (2007). https://doi.org/10.1063/1.2714019
T. L. Rhodes, W. A. Peebles, J. C. DeBoo, R. Prater, J. E. Kinsey, G. M. Staebler, J. Candy, M. E. Austin, R. V. Bravenec, K. H. Burrell, J. S. deGrassie, E. J. Doyle, P. Gohil, C. M. Greenfield, R. J. Groebner, et al., Plasma Phys. Control. Fusion 49, B183 (2007). https://doi.org/10.1088/0741-3335/49/12B/S17
G. M. Batanov, V. D. Borzosekov, D. G. Vasil’kov, E. M. Konchekov, D. V. Malakhov, K. A. Sarksyan, N. K. Kharchev, and Yu. V. Khol’nov, JETP Lett. 102, 217 (2015). https://doi.org/10.1134/S0021364015160043
V. P. Budaev, S. P. Savin, and L. M. Zelenyi, Phys.-Usp. 54, 875 (2011).
Stochastic Models of Structural Plasma Turbulence, Ed. by V. Yu. Korolev and N. N. Skvortsova (MAKS Press, Moscow, 2003; VSP, Leiden, 2006).
V. Yu. Korolev, Probabilistic-Statistical Methods for Volatility Decomposition of Chaotic Processes (Izd-vo MGU, Moscow, 2011) [in Russian].
A. K. Gorshenin, V. Yu. Korolev, and A. M. Tursunbaev, Inf. Primen. 2 (4), 12 (2008). https://elibrary.ru/item.asp?id=12855466.
G. M. Batanov, V. D. Borzosekov, A. K. Gorshenin, N. K. Kharchev, V. Yu. Korolev, and K. A. Sarksyan, Plasma Phys. Control. Fusion 61, 075006 (2019). https://doi.org/10.1088/1361-6587/ab1117
A. N. Kolmogorov, Dokl. Acad. Nauk SSSR 30 (4), 229 (1941).
R. H. Kraichnan, Phys. Fluids 10, 1417 (1967). https://doi.org/10.1063/1.1762301
G. M. Batanov, M. S. Berezhetskii, V. D. Borzosekov, D. G. Vasilkov, I. Y. Vafin, S. E. Grebenshchikov, I. A. Grishina, L. V. Kolik, E. M. Konchekov, N. F. Larionova, A. A. Letunov, V. P. Logvinenko, D. V. Malakhov, A. I. Meshcheryakov, A. E. Petrov, et al., Plasma Phys. Rep. 43, 818 (2017). https://doi.org/10.1134/S1063780X17080049
E. V. Suvorov and A. A. Fraiman, Sov. J. Plasma Phys. 6, 639 (1980).
G. M. Batanov, V. D. Borzosekov, D. V. Malakhov, and V. D. Stepakhin, in XLIV International Zvenigorod Conference on Plasma Physics and Controlled Fusion, Zvenigorod,2017, Book of Abstracts, p. 119. http://www.fpl.gpi.ru/Zvenigorod/XLIV/Mu/ru/CM-Batanov.docx.
G. M. Batanov, V. D. Borzosekov, L. V. Kolik, D. V. Malakhov, A. E. Petrov, A. A. Pshenichnikov, K. A. Sarksyan, N. N. Skvortsova, and N. K. Kharchev, Vopr. At. Nauki Tekh., Ser.: Termoyad. Sint., No. 2, 70 (2011).
A. A. Pshenichnikov, L. V. Kolik, N. I. Malykh, A. E. Petrov, M. A. Tereshchenko, N. K. Kharchev, and Yu. V. Khol’nov, Plasma Phys. Rep. 31, 554 (2005). https://doi.org/10.1134/1.1992582
G. M. Batanov, V. D. Borzosekov, E. M. Konchenkov, D. V. Malakhov, K. A.Sarksyan, V. D. Stepakhin, and N. K. Kharchev, Inzh. Fiz., No. 10, 56 (2013).
K. Itoh, S. I. Itoh, and A. Fukuyama, J. Phys. Soc. Jpn. 58, 482 (1989). https://doi.org/10.1143/JPSJ.58.482
U. Stroth, T. Geist, J. P. T. Koponen, H.-J. Hartfuß, P. Zeiler, and ECRH and W7-AS team, Phys. Rev. Lett. 82, 928 (1999). https://doi.org/10.1103/PhysRevLett.82.928
V. Erckmann and U. Gasparino, Plasma Phys. Control. Fusion 36, 1869 (1994). https://doi.org/10.1088/0741-3335/36/12/001
V. F. Andreev, A. A. Borschegovskij, V. V. Chistyakov, Yu. N. Dnestrovskij, E. P. Gorbunov, N. V. Kasyanova, S. E. Lysenko, A. V. Melnikov, T. B. Myalton, I. N. Roy, D. S. Sergeev, and V. N. Zenin, Plasma Phys. Control. Fusion 58, 055008 (2016). https://doi.org/10.1088/0741-3335/58/5/055008
A. V. Knyazev, A. A. Letunov, and V. P. Logvinenko, Instrum. Exp. Tech. 47, 230 (2004). https://doi.org/10.1023/B:INET.0000025207.63359.48
A. S. Sakharov, Plasma Phys. Rep. 45, 289 (2019). https://doi.org/10.1134/S1063780X19030085
D. Cramer, Fundamental Statistics for Social Research (Routledge, London, 1998), p. 81.
N. K. Kharchev, G. M. Batanov, V. I. Belousov, V. D. Borzosekov, G. I. Kalynova, L. V. Kolik, E. M. Konchekov, D. V. Malakhov, A. B. Petrov, K. A. Sarksyan, V. D. Stepakhin, and M. A. Terschenko, in Proceedings of the 10th International Workshop “Strong Microwaves and Terahertz Waves: Sources and Applications,” Nizhny Novgorod,2017, p. 173.
ACKNOWLEDGMENTS
We are grateful to the scientific team of the L-2M stellarator (and personally, to D.G. Vasil’kov, I.U. Vafin, E.V. Voronova, S.E. Grebenshchikov, I.A. Grishina, A.A. Letunov, V.P. Logvinenko, A.I. Meshcheryakov, and Yu.V. Khol’nov) for the results of the measurements of main plasma macroparameters and informative discussions of the specific features of the multi-pulse EC heating.
Funding
This work was supported by the Russian Foundation for Basic Research, project no. 18-02-00621.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by E. Voronova
Rights and permissions
About this article
Cite this article
Batanov, G.M., Borzosekov, V.D., Kolik, L.V. et al. Time–Space Evolution of the Parameters of Turbulent Density Fluctuations During Pulsed EC Heating of the Plasma at the L-2M Stellarator. Plasma Phys. Rep. 46, 955–966 (2020). https://doi.org/10.1134/S1063780X20100025
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X20100025