Skip to main content
SpringerLink
Log in

Study of Geodesic Acoustic and Alfvén Modes in Toroidal Fusion Devices (Brief Review)

  • PLASMA, HYDRO- AND GAS DYNAMICS
  • Published:
JETP Letters Aims and scope Submit manuscript

Geodesic acoustic modes, Alfvén eigenmodes, stationary and oscillating components of the electric field, and their relations to plasma confinement have been studied. Theoretical concepts of the interaction of geodesic acoustic modes with other types of plasma turbulence have been tested. Concomitant problems such as the effect of heating methods on the plasma confinement and turbulence, as well as the properties of impurities and scrape-off layer have also been discussed. Key diagnostics such as heavy ion beam probe, correlation reflectometry, and multipurpose optical diagnostic complex have been described. The main experiments have been performed at the T-10 tokamak, which has a high-power electron cyclotron resonance heating system. The supporting experiments have been performed at the TJ-II stellarator in Spain, the COMPASS tokamak in Czech Republic, and the STOR-M tokamak in Canada. The results of the experiments have been compared with the analytical and numerical calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.
Fig. 13.
Fig. 14.
Fig. 15.
Fig. 16.
Fig. 17.
Fig. 18.
Fig. 19.
Fig. 20.
Fig. 21.

Similar content being viewed by others

REFERENCES

  1. A. di Siena, T. Görler, E. Poli, A. Banon Navarro, A. Biancalani, R. Bilato, M. J. Mantsinen, F. N. de Oliveira-Lopes, and F. Jenko (EUROfusion MST1 Team and the ASDEX Upgrade Team), Nucl. Fusion 59, 124001 (2019).

  2. H. L. Berk, D. N. Borba, B. N. Breizman, S. D. Pinches, and S. E. Sharapov, Phys. Rev. Lett. 87, 185002 (2001).

  3. B. N. Breizman, M. S. Pekker, and S. E. Sharapov, Phys. Plasmas 12, 112506 (2005).

  4. A. V. Melnikov, Nat. Phys. 12, 386 (2016).

    Article  Google Scholar 

  5. M. A. Buldakov, V. A. Vershkov, M. Yu. Isaev, and D. A. Shelukhin, J. Phys.: Conf. Ser. 907, 012001 (2017).

  6. V. A. Vershkov, M. A. Buldakov, G. F. Subbotin, D. A. Shelukhin, A. V. Melnikov, L. G. Eliseev, P. O. Khabanov, M. A. Drabinskij, D. S. Sergeev, T. B. Myalton, V. M. Trukhin, A. V. Gorshkov, I. S. Belbas, and G. M. Asadulin, Nucl. Fusion 59, 066021 (2019).

  7. A. V. Melnikov, L. I. Krupnik, L. G. Eliseev, et al., Nucl. Fusion 57, 072004 (2017).

  8. A. V. Melnikov, L. G. Eliseev, S. E. Lysenko, et al., in Proceedings of the 1st EPS Conference on Plasma Diagnostics ECPD 2015, Frascati, Italy (2015). http://pos.sissa.it/archive/conferences/240/170/ECPD2015_170.pdf.

  9. M. A. Drabinskiy, J. Phys.: Conf. Ser. 1147, 012123 (2019).

  10. M. A. Drabinskiy, P. O. Khabanov, A. V. Melnikov, L. I. Krupnik, A. S. Kozachek, A. D. Komarov, and A. I. Zhezhera, J. Phys.: Conf. Ser. 747, 012017 (2016).

  11. M. A. Drabinskiy, L. G. Eliseev, P. O. Khabanov, A. V. Melnikov, N. K. Khartchev, N. S. Sergeev, and S. A. Grashin, J. Phys.: Conf. Ser. 1383, 012004 (2019).

  12. N. K. Kharchev, Comput. Nanotechnol. 1, 58 (2018).

    Google Scholar 

  13. M. A. Drabinskiy, P. O. Khabanov, A. V. Melnikov, L. I. Krupnik, A. S. Kozachek, A. D. Komarov, and A. I. Zhezhera, Vopr. At. Nauki Tekh., Ser.: Termoyad. Sintez 39 (2), 81 (2016).

    Google Scholar 

  14. M. A. Drabinskiy, Comput. Nanotechnol. 1, 62 (2018).

    Google Scholar 

  15. P. O. Khabanov, Comput. Nanotechnol. 1, 25 (2018).

    Google Scholar 

  16. A. V. Melnikov, M. A. Drabinskiy, L. G. Eliseev, P. O. Khabanov, N. K. Kharchev, L. I. Krupnik, J. L. de Pablos, A. S. Kozachek, S. E. Lysenko, A. Molinero, G. B. Igonkina, and M. M. Sokolov, Fusion Eng. Des. 146, 850 (2019).

    Article  Google Scholar 

  17. A. V. Melnikov, Comput. Nanotechnol. 1, 31 (2018).

    Google Scholar 

  18. L. A. Klyuchnikov, V. A. Krupin, K. V. Korobov, M. R. Nurgaliev, A. R. Nemets, A. Yu. Dnestrovskij, N. N. Naumenko, S. N. Tugarinov, S. V. Serov, and D. S. Denshchikov, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 39 (1), 95 (2016).

    Google Scholar 

  19. L. A. Klyuchnikov, V. A. Krupin, M. R. Nurgaliev, K. V. Korobov, A. R. Nemets, A. Yu. Dnestrovskij, S. N. Tugarinov, S. V. Serov, and N. N. Naumenko, Rev. Sci. Instrum. 87, 053506 (2016).

  20. L. A. Klyuchnikov, V. A. Krupin, M. R. Nurgaliev, A. R. Nemets, I. A. Zemtsov, S. N. Tugarinov, and N. N. Naumenko, Rev. Sci. Instrum. 88, 093508 (2017).

  21. A. R. Nemets, V. A. Krupin, L. A. Klyuchnikov, K. V. Korobov, and M. R. Nurgaliev, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 38 (4), 96 (2015).

    Google Scholar 

  22. A. R. Nemets, V. A. Krupin, L. A. Klyuchnikov, M. R. Nurgaliev, V. I. Troinov, I. A. Zemtsov, I. S. Obraztsov, and D. S. Sergeev, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 40 (2), 23 (2017).

    Google Scholar 

  23. L. A. Klyuchnikov, A. R. Nemets, V. A. Krupin, K. V. Korobov, M. R. Nurgaliev, N. N. Naumenko, S. N. Tugarinov, and D. S. Denshchikov, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 38 (4), 34 (2015).

    Google Scholar 

  24. R. Y. Solomatin, V. P. Budaev, S. A. Grashin, E. V. Dzyatko, L. G. Eliseev, A. V. Melnikov, S. V. Perfilov, and V. N. Zenin, in Proceedings of the 42nd EPS Conference on Plasma Physics, June 22–26, 2015, Lisbon, Portugal, Rep. P5.160.

  25. A. V. Melnikov, A. V. Sushkov, A. M. Belov, et al., Fusion Eng. Des. 96–97, 306 (2015).

    Article  Google Scholar 

  26. V. P. Pastukhov, Plasma Phys. Rep. 47, 892 (2021).

    Article  ADS  Google Scholar 

  27. A. V. Melnikov, L. I. Krupnik, E. Ascasibar, et al., Plasma Phys. Control. Fusion 60, 084008 (2018).

  28. V. A. Vershkov, D. A. Shelukhin, G. F. Subbotin, et al., Nucl. Fusion 55, 063014 (2015).

  29. V. A. Vershkov, D. V. Sarychev, G. E. Notkin, D. A. Shelukhin, M. A. Buldakov, Yu. N. Dnestrovskij, S. A. Grashin, N. A. Kirneva, V. A. Krupin, L. A. Klyuchnikov, A. V. Melnikov, S. V. Neudatchin, M. R. Nurgaliev, Yu. D. Pavlov, and P. V. Savrukhin, Nucl. Fusion 57, 102017 (2017).

  30. A. V. Melnikov, L. G. Eliseev, S. E. Lysenko, M. V. Ufimtsev, and V. N. Zenin, Nucl. Fusion 57, 115001 (2017).

  31. A. V. Melnikov, L. G. Eliseev, S. A. Grashin, M. A. Drabinskij, P. O. Khabanov, N. K. Kharchev, L. I. Krupnik, A. S. Kozachek, S. E. Lysenko, and V. N. Zenin, Plasma Fusion Res. 13, 3402109 (2018).

  32. M. P. Gryaznevich, J. Stöckel, G. van Oost, E. del Bosco, V. Svoboda, A. Melnikov, R. Kamendje, A. Malaquias, G. Mank, and R. Miklaszewski (Collabs. the IAEA CRP and JEs Teams), Plasma Sci. Technol. 22, 055102 (2020).

  33. G. A. Riggs, S. Nogami, M. Koepke, A. V. Melnikov, L. G. Eliseev, S. E. Lysenko, P. O. Khabanov, M. A. Drabinskij, N. K. Kharchev, A. S. Kozachek, M. V. Ufimtsev, and HIBP Team, J. Plasma Phys. 87, 885870301 (2021).

  34. A. V. Melnikov, M. A. Drabinskiy, L. G. Eliseev, P. O. Khabanov, N. K. Kharchev, and S. E. Lysenko, in Proceedings of the 46th EPS Conference Plasma Physics, Milano, July 8–12, 2019, Rep.P5.1090.

  35. L. G. Eliseev, V. N. Zenin, S. E. Lysenko, and A. V. Melnikov, J. Phys.: Conf. Ser. 907, 012002 (2017).

  36. L. G. Eliseev, S. E. Lysenko, A. V. Melnikov, L. I. Krupnik, A. S. Kozachek, V. N. Zenin, and HIBP team, Probl. At. Sci. Technol., Ser. Plasma Phys. 107, 241 (2017).

    Google Scholar 

  37. L. G. Eliseev, A. V. Melnikov, S. E. Lysenko, P. O. Khabanov, V. N. Zenin, M. A. Drabinskij, N. K. Kharchev, A. S. Kozachek, L. I. Krupnik, and HIBP Team, Plasma Fusion Res. 13, 3402106 (2018).

  38. A. V. Melnikov, J. M. Barcala, L. I. Krupnik, C. Hidalgo, L. G. Eliseev, A. A. Chmyga, J. Chercoles, A. D. Komarov, A. S. Kozachek, S. M. Khrebtov, J. Lopez, A. Molinero, G. Martin, J. L. de Pablos, S. V. Perfilov, and Yu. I. Taschev, Fusion Eng. Des. 96–97, 724 (2015).

    Article  Google Scholar 

  39. A. I. Zhezhera, A. Chmyga, G. N. Deshko, L. G. Eliseev, C. Hidalgo, S. M. Khrebtov, A. D. Komarov, A. S. Kozachek, L. I. Krupnik, A. V. Melnikov, J. L. de Pablos, and S. V. Perfilov, Probl. At. Sci. Technol., Ser. Plasma Phys. 107, 261 (2017).

    Google Scholar 

  40. R. Sharma, P. O. Khabanov, A. V. Melnikov, N. K. Kharchev, E. Sánchez, A. A. Chmyga, G. N. Deshko, L. G. Eliseev, C. Hidalgo, S. M. Khrebtov, A. D. Komarov, A. S. Kozachek, L. I. Krupnik, A. Malaquias, and B. van Milligen, in Proceedings of the 45th EPS Conference on Plasma Physics, July 2–6, 2018, Prague, Czech Republic (2018), Rep. P5.1061.

  41. P. O. Khabanov, L. G. Eliseev, N. K. Khartchev, C. Hidalgo, A. S. Kozachek, A. D. Komarov, L. I. Krupnik, S. E. Lysenko, A. V. Melnikov, A. A. Chmyga, G. N. Deshko, S. M. Khrebtov, A. D. Komarov, A. Molinero, J. L. de Pablos, and TJ-II Team, Probl. At. Sci. Technol., Ser. Plasma Phys. 118, 317 (2018).

    Google Scholar 

  42. K. J. McCarthy, N. Panadero, S. K. Combs, N. Tamura, E. Ascasíbar, M. Calvo, A. Chmyga, T. Estrada, J. M. Fontdecaba, R. García, J. Hernández Sánchez, P. Khabanov, M. Liners, A. V. Melnikov, I. Pastor, B. Rojo, TJ-II Team and LHD Experiment Group, Plasma Phys. Control. Fusion 61, 014013 (2019).

  43. N. Winsor, J. L. Johnson, and J. M. Dawson, Phys. Fluids 11, 2448 (1968).

    Article  ADS  Google Scholar 

  44. P. M. Schoch, K. A. Connor, D. R. Demers, and X. Zhang, Rev. Sci. Instrum. 74, 1846 (2003).

    Article  ADS  Google Scholar 

  45. G. R. McKee, R. J. Fonck, M. Jakubowski, K. H. Burrell, K. Hallatschek, R. A. Moyer, W. Nevins, D. L. Rudakov, and X. Xu, Plasma Phys. Control. Fusion 45, A477 (2003).

    Article  ADS  Google Scholar 

  46. A. V. Melnikov, L. G. Eliseev, S. A. Grashin, A. V. Gudozhnik, S. E. Lysenko, V. A. Mavrin, S. V. Perfilov, S. V. Soldatov, D. A. Shelukhin, V. A. Vershkov, L. G. Zimeleva, M. V. Ufimtsev, L. I. Krupnik, A. D. Komarov, and A. S. Kozachek, in Proceedings of the 30th EPS Conference on Controlled Fusion and Plasma Physics, St. Petersburg (ECA, 2003), Vol. 27A, Rep. P-3.114.

  47. P. H. Diamond, S.-I. Itoh, K. Itoh, and T. S. Hahm, Plasma Phys. Control. Fusion 47, R35 (2005).

    Article  Google Scholar 

  48. A. V. Melnikov, V. A. Vershkov, L. G. Eliseev, S. A. Grashin, A. V. Gudozhnik, L. I. Krupnik, S. E. Lysenko, V. A. Mavrin, S. V. Perfilov, D. A. Shelukhin, S. V. Soldatov, M. V. Ufimtsev, A. O. Urazbaev, G. van Oost, and L. G. Zimeleva, Plasma Phys. Control. Fusion 48, S87 (2006).

    Article  Google Scholar 

  49. A. Fujisawa, T. Ido, A. Shimizu, et al., Nucl. Fusion 47, S718 (2007).

    Article  Google Scholar 

  50. V. N. Zenin, Comput. Nanotechnol. 1, 108 (2018).

    Google Scholar 

  51. G. D. Conway, A. I. Smolyakov, and T. Ido, Nucl. Fusion 62, 013001 (2022).

  52. A. V. Melnikov, L. I. Krupnik, J. M. Barcala, et al., Probl. At. Sci. Technol., Ser. Plasma Phys. 107, 237 (2017).

    Google Scholar 

  53. A. V. Melnikov, L. G. Eliseev, S. E. Lysenko, S. V. Perfilov, R. V. Shurygin, L. I. Krupnik, A. S. Kozachok, and A. I. Smolyakov, JETP Lett. 100, 555 (2014).

    Article  ADS  Google Scholar 

  54. A. V. Melnikov, L. G. Eliseev, S. V. Perfilov, S. E. Lysenko, R. V. Shurygin, V. N. Zenin, S. A. Grashin, L. I. Krupnik, A. S. Kozachek, R. Yu. Solomatin, A. G. Elfimov, A. I. Smolyakov, and M. V. Ufimtsev, Nucl. Fusion 55, 063001 (2015).

  55. N. A. Kirneva, G. M. Asadulin, V. M. Bajkov, et al., in Proceedings of the 45th EPS Conference on Plasma Physics, July 2–6, 2018, Prague, Czech Republic (2018), Rep. P4.1081.

  56. N. A. Kirneva, K. A. Razumova, V. A. Krupin, et al., in Proceedings of the 44th EPS Conference on Plasma Physics, June 26–30, 2017, Belfast, Northern Ireland (ECA, 2017), Rep. P4.169.

  57. V. N. Zenin, G. F. Subbotin, L. A. Klyuchnikov, and A. V. Melnikov, J. Phys.: Conf. Ser. 747, 012005 (2016).

  58. L. G. Eliseev, V. P. Lakhin, S. E. Lysenko, A. V. Melnikov, S. V. Perfilov, and V. N. Zenin, in Proceedings of the 43rd EPS Conference on Plasma Physics, Leuven, Belgium, July 4–8, 2016 (ECA, 2016), Vol. 40A, Rep. P2.030.

  59. V. N. Zenin, A. V. Melnikov, L. G. Eliseev, A. S. Kozachek, L. I. Krupnik, S. E. Lysenko, and S. V. Perfilov, Probl. At. Sci. Technol., Ser. Plasma Phys. 94, 269 (2014).

    Google Scholar 

  60. V. N. Zenin, L. A. Klyuchnikov, A. V. Melnikov, A. Nemets, M. Nurgaliev, and G. Subbotin, in Proceedings of the 43rd EPS Conference on Plasma Physics, July 4–8, 2016, Rep. P2.024.

  61. V. N. Zenin, L. A. Klyuchnikov, A. V. Melnikov, A. R. Nemets, M. R. Nurgaliev, G. F. Subbotin, and D. A. Shelukhin, Vopr. At. Nauki Tekh., Ser.: Termoyad. Sintez 39 (3), 91 (2016).

    Google Scholar 

  62. V. N. Zenin, M. A. Drabinskij, L. G. Eliseev, S. A. Grashin, P. O. Khabanov, N. K. Kharchev, and A. V. Melnikov, in Proceedings of the 45th EPS Conference on Plasma Physics, July 2–6, 2018, Prague, Czech Republic (2018), Rep. P2.1090.

  63. V. N. Zenin, M. A. Drabinskij, L. G. Eliseev, S. A. Grashin, P. O. Khabanov, N. K. Kharchev, L. I. Krupnik, and A. V. Melnikov, Probl. At. Sci. Technol., Ser. Plasma Phys. 118, 321 (2018).

    Google Scholar 

  64. A. V. Melnikov, L. G. Eliseev, S. E. Lysenko, S. V. Perfilov, D. A. Shelukhin, V. A. Vershkov, V. N. Zenin, L. I. Krupnik, A. S. Kozachek, N. K. Kharchev, and M. V. Ufimtsev and the HIBP Team, Vopr. At. Nauki Tekh., Ser.: Termoyad. Sintez 38, 49 (2015).

    Google Scholar 

  65. J. A. Alonso, E. Sanchez, I. Calvo, J. L. Velasco, K. J. McCarthy, A. Chmyga, L. G. Eliseev, T. Estrada, R. Kleiber, L. I. Krupnik, A. V. Melnikov, P. Monreal, F. I. Parra, S. Perfilov, A. I. Zhezhera, and the TJ-II Team, Phys. Rev. Lett. 118, 185002 (2017).

  66. F. Castejon, A. Aguilera, E. Ascasibar, T. Estrada, C. Hidalgo, A. Lopez-Fraguas, M. Ochando, S. Yamamoto, A. Melnikov, L. Eliseev, and S. Perfilov, Plasma Phys. Control. Fusion 58, 094001 (2016).

  67. A. V. Melnikov, L. G. Eliseev, S. E. Lysenko, S. V. Perfilov, D. A. Shelukhin, V. A. Vershkov, V. N. Zenin, L. I. Krupnik, N. K. Kharchev, and HIBP team, J. Phys.: Conf. Ser. 591, 012003 (2015).

  68. J. Seidl, J. Krbec, M. Hron, et al., Nucl. Fusion 57, 126048 (2017).

  69. D. Basu, M. Nakajima, A. V. Melnikov, D. McColl, A. Rohollahi, S. Elgriw, C. Xiao, and A. Hirose, Nucl. Fusion 58, 024001 (2018).

  70. A. V. Melnikov, L. G. Eliseev, A. V. Gudozhnik, S. E. Lysenko, V. A. Mavrin, S. V. Perfilov, L. G. Zimeleva, M. V. Ufimtsev, L. I. Krupnik, and P. M. Schoch, Czech. J. Phys. 55, 349 (2005).

    Article  ADS  Google Scholar 

  71. A. D. Gurchenko, E. Z. Gusakov, A. B. Altukhov, E. P. Selyunin, L. A. Esipov, M. Yu. Kantor, D. V. Kouprienko, S. I. Lashkul, A. Yu. Stepanov, and F. Wagner, Plasma Phys. Control. Fusion 55, 085017 (2013).

  72. C. A. de Meijere, S. Coda, Z. Huang, L. Vermare, T. Vernay, V. Vuille, S. Brunner, J. Dominski, P. Hennequin, A. Kramer-Flecken, G. Merlo, L. Porte, and L. Villard, Plasma Phys. Control. Fusion 56, 072001 (2014).

  73. R. V. Shurygin and A. V. Melnikov, Plasma Phys. Rep. 44, 303 (2018).

    Article  ADS  Google Scholar 

  74. D. Basu, M. Nakajima, A. V. Melnikov, J. J. Martinell, D. McColl, R. Singh, C. Xiao, and A. Hirose, Nucl. Fusion 60, 094001 (2020).

  75. L. G. Eliseev, N. V. Ivanov, A. M. Kakurin, S. E. Lysenko, S. G. Maltsev, A. V. Melnikov, S. V. Perfilov, and V. N. Zenin, in Proceedings of the 42nd EPS Conference on Plasma Physics, June 22–26, 2015, Rep. P5.159.

  76. L. G. Eliseev, N. V. Ivanov, and A. M. Kakurin, Phys. Plasmas 22, 052504 (2015).

  77. A. G. Elfimov, A. I. Smolyakov, A. V. Melnikov, and R. M. O. Galvão, Plasma Phys. Rep. 42, 424 (2016).

    Article  ADS  Google Scholar 

  78. M. F. Bashir, A. I. Smolyakov, A. G. Elfimov, A. V. Melnikov, and G. Murtaza, Phys. Plasmas 21, 082507 (2014).

  79. V. P. Lakhin, E. A. Sorokina, V. I. Ilgisonis, and L. V. Konovaltseva, Plasma Phys. Rep. 41, 975 (2015).

    Article  ADS  Google Scholar 

  80. A. V. Melnikov, C. Hidalgo, L. I. Krupnik, E. Ascasibar, A. Cappa, A. A. Chmyga, G. N. Deshko, M. A. Drabinskij, L. G. Eliseev, P. O. Khabanov, S. M. Khrebtov, N. K. Kharchev, A. D. Komarov, A. S. Kozachek, and S. E. Lysenko, EPJ Web of Conf. 149, 03009 (2017).

  81. 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).

  82. R. V. Shurygin and A. V. Melnikov, Plasma Phys. Rep. 45, 220 (2019).

    Article  ADS  Google Scholar 

  83. C. Gutierrez-Tapia, J. J. Martinell, D. Lopez-Bruna, A. V. Melnikov, L. Eliseev, C. Rodriguez, M. A. Ochando, F. Castejón, J. García, and B. P. van Milligen, Plasma Phys. Control. Fusion 57, 115004 (2015).

  84. A. V. Melnikov, Electric Potential in Plasma of Toroidal Installations, Ed. by S. E. Lysenko (NIYaU MIFI, Moscow, 2015) [in Russian].

  85. A. V. Melnikov, Comput. Nanotechnol. 2, 13 (2017).

    Google Scholar 

  86. A. V. Melnikov, Electric Potential in Toroidal Plasmas (Springer Nature, Switzerland AG, 2019).

    Book  Google Scholar 

  87. S. V. Serov, S. N. Tugarinov, L. A. Klyuchnikov, V. A. Krupin, and M. von Hellermann, Plasma Phys. Rep. 43, 1123 (2017).

    Article  ADS  Google Scholar 

  88. V. A. Krupin, L. A. Klyuchnikov, K. V. Korobov, A. R. Nemets, M. R. Nurgaliev, A. V. Gorbunov, N. N. Naumenko, V. I. Troinov, S. N. Tugarinov, and F. V. Fomin, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 37 (4), 60 (2014).

    Google Scholar 

  89. V. A. Krupin, L. A. Klyuchnikov, M. R. Nurgaliev, A. R. Nemets, K. V. Korobov, I. A. Zemtsov, N. N. Naumenko, and S. N. Tugarinov, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 39 (4), 68 (2016).

    Google Scholar 

  90. V. A. Krupin, A. R. Nemets, L. A. Klyuchnikov, K. V. Korobov, M. R. Nurgaliev, N. N. Naumenko, and S. N. Tugarinov, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 39 (1), 81 (2016).

    Google Scholar 

  91. I. A. Zemtsov, V. A. Krupin, M. R. Nurgaliev, L. A. Klyuchnikov, A. R. Nemets, A. Yu. Dnestrovskii, and D. V. Sarychev, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 40 (2), 30 (2017).

    Google Scholar 

  92. X. Garbet, P. Mantica, C. Angioni, et al., Plasma Phys. Control. Fusion 46, B557 (2004).

    Article  Google Scholar 

  93. K. A. Razumova, S. E. Lysenko, and N. N. Timchenko, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 39 (4), 78 (2016).

    Google Scholar 

  94. K. A. Razumova, A. A. Borshchegovskiy, E. P. Gorbunov, M. M. Dremin, N. V. Kasyanova, N. A. Kirneva, A. Ya. Kislov, L. A. Klyuchnikov, V. A. Krupin, S. V. Krylov, S. E. Lysenko, A. V. Melnikov, T. B. Myalton, A. R. Nemets, G. E. Notkin, et al., Plasma Phys. Rep. 43, 1043 (2017).

    Article  ADS  Google Scholar 

  95. Yu. N. Dnestrovskii, V. A. Vershkov, A. V. Danilov, A. Yu. Dnestrovskii, V. N. Zenin, S. E. Lysenko, A. V. Melnikov, D. A. Shelukhin, G. F. Subbotin, and S. V. Cherkasov, Plasma Phys. Rep. 42, 191 (2016).

    Article  ADS  Google Scholar 

  96. Yu. N. Dnestrovskii, V. A. Vershkov, A. V. Danilov, A. Yu. Dnestrovskii, V. N. Zenin, S. E. Lysenko, A. V. Mel’nikov, D. A. Shelukhin, G. F. Subbotin, and S. V. Cherkasov, Fiz. Plazmy 44, 3 (2018).

    Google Scholar 

  97. Yu. N. Dnestrovskii, V. A. Vershkov, A. V. Danilov, A. Yu. Dnestrovskii, S. E. Lysenko, A. V. Mel’nikov, G. F. Subbotin, D. Yu. Sychugov, S. V. Cherkasov, and D. A. Shelukhin, Plasma Phys. Rep. 45, 207 (2019).

    Article  ADS  Google Scholar 

  98. A. V. Danilov, Yu. N. Dnestrovskij, A. V. Melnikov, S. V. Cherkasov, L. G. Eliseev, A. Yu. Dnestrovskij, S. E. Lysenko, G. F. Subbotin, V. A. Vershkov, J. Havlíček, J. Urban, J. Stöckel, P. Bilková, P. Böhm, and M. Sos, in Proceedings of the 45th EPS Conference on Plasma Physics, July 2–6, 2018, Prague, Czech Republic (ECA, 2018), Vol. 42A, Rep. P5.1088.

  99. L. Klyuchnikov, V. Krupin, K. Korobov, A. Nemets, M. Nurgaliev, A. Dnestrovskij, A. Barsukov, N. Naumenko, S. Tugarinov, S. Serov, V. Troinov, A. Gorbunov, and D. Denshchikov, in Proceedings of the 42nd EPS Conference on Plasma Physics, June 22–26, 2015, Lisbon, Portugal (ECA, 2015), Vol. 39E, Rep. P5.161.

  100. L. A. Klyuchnikov, V. A. Krupin, M. R. Nurgaliev, A. R. Nemets, I. A. Zemtsov, D. V. Ryjakov, and D. V. Sarychev, J. Phys.: Conf. Ser. 907, 012009 (2017).

  101. I. A. Zemtsov, V. A. Krupin, M. R. Nurgaliev, et al., in Proceedings of the 44th EPS Conference on Plasma Physics, June 26–30, 2017, Belfast, North. Ireland, Rep. P4.175.

  102. I. A. Zemtsov, V. A. Krupin, M. R. Nurgaliev, L. A. Klyuchnikov, A. R. Nemets, A. Yu. Dnestrovskij, G. Asadulin, T. Myalton, D. Sarychev, V. Vershkov, S. Grashin, A. Borschegovskij, D. Sergeev, N. Solovyev, and A. Sushkov, in Proceedings of the 45th EPS Conference on Plasma Physics, July 2–6, 2018, Prague, Czech Republic (2018), Rep. P4.1086.

  103. M. R. Nurgaliev, V. A. Krupin, L. A. Klyuchnikov, A. R. Nemets, A. Yu. Dnestrovskij, I. A. Zemsov, D. V. Sarychev, A. A. Borschegovskij, D. S. Sergeev, N. A. Mustafin, N. N. Naumenko, and S. N. Tugarinov, in Proceedings of the 43rd EPS Conference on Plasma Physics, July 4–8, 2016, Leuven, Belgium (2016), Rep. P2.069.

  104. M. R. Nurgaliev, V. A. Krupin, L. A. Klyuchnikov, A. R. Nemets, I. A. Zemtsov, A. Yu. Dnestrovskii, D. V. Sarychev, V. S. Lisitsa, S. A. Grashin, D. V. Ryzhakov, D. S. Sergeev, and N. A. Mustafin, Vopr. At. Nauki Tekh., Ser. Termoyad. Sintez 40 (2), 36 (2017).

    Google Scholar 

  105. V. A. Krupin, L. A. Klyuchnikov, M. R. Nurgaliev, A. R. Nemets, I. A. Zemsov, A. V. Melnikov, T. B. Myalton, D. V. Sarychev, D. S. Sergeev, A. V. Sushkov, V. M. Trukhin, S. N. Tugarinov, and N. N. Naumenko, Plasma Phys. Control. Fusion 60, 115003 (2018).

  106. V. A. Krupin, M. R. Nurgaliev, L. A. Klyuchnikov, et al., Nucl. Fusion 57, 066041 (2017).

  107. S. A. Grashin, I. I. Arkhipov, V. P. Budaev, A. V. Karpov, L. A. Klyuchnikov, L. N. Khimchenko, A. V. Melnikov, D. V. Sarychev, N. S. Sergeev, and I. A. Zemsov, Fusion Eng. Des. 146, 2100 (2019).

    Article  Google Scholar 

  108. M. Garcia-Muñoz, S. E. Sharapov, M. A. van Zeeland, et al., Plasma Phys. Control. Fusion 61, 054007 (2019).

  109. A. V. Melnikov, M. Ochando, E. Ascasibar, et al., Nucl. Fusion 54, 123002 (2014).

  110. B. Zurro, J. L. Velasco, E. M. Hollmann, A. Baciero, M. A. Ochando, R. Dux, K. J. McCarthy, F. Medina, I. Pastor, R. J. Hajjar, J. M. Garcia-Regaña, D. López-Bruna, A. V. Melnikov, and L. G. Eliseev, HIBP Team, and TJ-II Team, in Proceedings of the 42nd EPS Conference on Plasma Physics, June 22–26, 2015, Lisbon, Portugal (2015), Rep. P4.160.

  111. A. V. Melnikov, L. G. Eliseev, E. Ascasibar, et al., Nucl. Fusion 56, 076001 (2016).

  112. F. Castejon, D. Alegre, A. Alonso, et al., Nucl. Fusion 57, 102022 (2017).

  113. A. V. Melnikov, E. Ascasibar, A. Cappa, et al., Nucl. Fusion 58, 082019 (2018).

  114. A. V. Melnikov, L. G. Eliseev, F. Castejón, C. Hidalgo, P. O. Khabanov, A. S. Kozachek, L. I. Krupnik, M. Liniers, S. E. Lysenko, J. L. de Pablos, S. E. Sharapov, M. V. Ufimtsev, V. N. Zenin, HIBP Group, and TJ-II Team, Nucl. Fusion 56, 112019 (2016).

  115. A. Rakha, M. J. Mantsinen, A. V. Melnikov, S. E. Sharapov, D. A. Spong, A. López-Fraguas, F. Castejón, and J. L. de Pablos, in Proceedings of the 45th EPS Conference on Plasma Physics, July 2–6, 2018, Prague, Czech Republic (2018), Rep. P4.1004.

  116. A. Rakha, M. J. Mantsinen, A. V. Melnikov, S. E. Sharapov, D. A. Spong, A. López-Fraguas, F. Castejón, A. Gutierrez-Milla, J. L. de Pablos, and X. Saez, Nucl. Fusion 59, 056002 (2019).

  117. M. Gryaznevich, G. van Oost, J. Stöckel, R. Kamendje, B. Kuteev, A. Melnikov, T. Popov, and V. Svoboda, Nucl. Fusion 55, 104019 (2015).

  118. T. Markovic, A. Melnikov, J. Seidl, L. Eliseev, J. Havlicek, A. Havranek, M. Hron, M. Imrisek, K. Kovarik, K. Mitosinkova, J. Mlynar, D. Naydenkova, R. Panek, J. Stokel, J. Varju, and V. Weinzettl, in Proceedings of the 44th EPS Conference on Plasma Physics, June 26–30, 2017, Belfast, North Ireland (ECA, 2017), Rep. P5.140.

  119. T. Markovic, J. Seidl, A. Melnikov, et al., in Proceedings of the 42nd EPS Conference on Plasma Physics, June 22–26, 2015, Lisbon, Portugal (2015), Rep. P4.104.

  120. A. V. Melnikov, T. Markovic, L. G. Eliseev, et al., Plasma Phys. Control. Fusion 57, 065006 (2015).

  121. T. Markovic, A. Melnikov, J. Seidl, J. Havlicek, A. Havranek, M. Hron, M. Imrisek, K. Kovarik, K. Mitosinkova, J. Mlynar, D. Naydenkova, R. Panek, J. Varju, and V. Weinzettl, in Proceedings of the 43rd EPS Conference on Plasma Physics, July 4–8, 2016, Leuven, Belgium, Rep. P5.005.

  122. L. G. Eliseev, A. V. Melnikov, E. Ascasibar, et al., Phys. Plasmas 28, 072510 (2021).

Download references

Funding

This work was supported by the Russian Science Foundation (project nos. 14-22-00193 and 14-22-00193P).

Author information

Authors and Affiliations

  1. National Research Center Kurchatov Institute, 123182, Moscow, Russia

    A. V. Melnikov, V. A. Vershkov, S. A. Grashin, M. A. Drabinskiy, L. G. Eliseev, I. A. Zemtsov, V. A. Krupin, V. P. Lakhin, S. E. Lysenko, A. R. Nemets, M. R. Nurgaliev, N. K. Khartchev, P. O. Khabanov & D. A. Shelukhin

  2. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Moscow, Russia

    A. V. Melnikov & M. R. Nurgaliev

  3. Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia

    A. V. Melnikov

  4. Prokhorov General Physics Institute, Russian Academy of Sciences, 119991, Moscow, Russia

    N. K. Khartchev

Authors
  1. A. V. Melnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Vershkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. A. Grashin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. A. Drabinskiy
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. L. G. Eliseev
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. I. A. Zemtsov
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. V. A. Krupin
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. V. P. Lakhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  9. S. E. Lysenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  10. A. R. Nemets
    View author publications

    You can also search for this author in PubMed Google Scholar

  11. M. R. Nurgaliev
    View author publications

    You can also search for this author in PubMed Google Scholar

  12. N. K. Khartchev
    View author publications

    You can also search for this author in PubMed Google Scholar

  13. P. O. Khabanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  14. D. A. Shelukhin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Melnikov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by R. Tyapaev

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Melnikov, A.V., Vershkov, V.A., Grashin, S.A. et al. Study of Geodesic Acoustic and Alfvén Modes in Toroidal Fusion Devices (Brief Review). Jetp Lett. 115, 324–342 (2022). https://doi.org/10.1134/S0021364022200279

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364022200279

Search

Navigation