Abstract
A non-conventional approach to the theoretical analysis and simulation of turbulent transport processes in magnetized plasmas based on the assumption of self-consistent maintenance of a turbulent plasma in a state sufficiently close to a marginally stable turbulent-relaxed state is discussed. The idea of such an approach was originally formulated in 1964 by A.A. Galeev and L.I. Rudakov but later it faded to the background. In this work, by the example of theoretical models and codes created to describe turbulent transport processes in magnetized plasmas of such systems as magneto-electrostatic traps, “levitated dipole” systems, and tokamaks, an attempt is made to show the efficiency and effectiveness of the approach under discussion.
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REFERENCES
A. A. Galeev and R. Z. Sagdeev, Sov. Phys.–JETP 26, 233 (1968).
A. A. Galeev, V. N. Oraevskii, and R. Z. Sagdeev, Sov. Phys.–JETP 17, 615 (1963).
A. B. Mikhailovskii, Theory of Plasma Instabilities, Vol. 2: Instabilities of an Inhomogeneous Plasma (Atomizdat, Moscow, 1971; Consultants Bureau, New York, 1974).
A. A. Galeev and L. I. Rudakov, Sov. Phys.–JETP 18, 444 (1964).
A. A. Vedenov, E. P. Velikhov, and R. Z. Sagdeev, Nucl. Fusion 1, 82 (1961).
O. A. Lavrent’ev, V. A. Potapenko, and I. A. Stepanenko, Sov. Phys.–Tech. Phys. 21, 63 (1976).
Yu. S. Azovskii, O. A. Lavrent’ev, and V. A. Maslov, Ukr. Fiz. Zh. 26, 429 (1981).
M. S. Ioffe, B. I. Kanaev, V. V. Piterskii, and E. E. Yushmanov, Sov. J. Plasma Phys. 10, 261 (1984).
M. S. Ioffe, B. I. Kanaev, V. P. Pastukhov, V. V. Piterskii, and E. E. Yushmanov, Sov. J. Plasma Phys. 10, 268 (1984).
M. S. Ioffe, B. I. Kanaev, V. P. Pastukhov, V. V. Piterskii, and E. E. Yushmanov, JETP Lett. 34, 570 (1981).
V. P. Pastukhov, Sov. J. Plasma Phys. 4, 311 (1978).
N. A. Krall and D. L. Book, Phys. Fluids 12, 347 (1969).
N. A. Krall and P. C. Liewer, Phys. Rev. A 4, 2094 (1971).
A. A. Galeev and R. Z. Sagdeev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Consultants Bureau, New York, 1979), Vol. 7, p. 257.
S. Hamasaki, R. C. Davidson, N. A. Krall, and P. C. Liewer, Nucl. Fusion 14, 27 (1974).
V. P. Pastukhov, Sov. J. Plasma Phys. 6, 549 (1980).
V. V. Piterskii, V. P. Pastukhov, M. S. Ioffe, B. I. Kanaev, and E. E. Yushmanov, Sov. J. Plasma Phys. 14, 94 (1988).
V. P. Pastukhov, Nucl. Fusion 14, 3 (1974).
V. P. Pastukhov, in Reviews of Plasma Physics, Ed. by B. B. Kadomtsev (Consultants Bureau, New York, 1987), Vol. 13, p. 203.
A. Hasegava, L. Chen, and M. E. Mauel, Nucl. Fusion 30, 2405 (1990).
A. I. Morozov, V. P. Pastukhov, and A. Yu. Sokolov, in Proceedings of the Workshop on D− 3 He Based Reactor Studies, Moscow, 1991, Paper 1C1. http://fti.neep.wisc.edu/pdf/fdm916.pdf.
P. A. Popovich and V. D. Shafranov, Plasma Phys. Rep. 26, 484 (2000).
D. T. Garnier, J. Kesner, and M. E. Mauel, Phys. Plasmas 6, 3431 (1999).
J. Kesner, L. Bromberg, D. T. Garnier, and M. E. Mauel, in Proceedings of the 17th IAEA Fusion Energy Conference, Yokohama, 1998 (IAEA, Vienna, 1999), Vol. 3, p. 1165.
E. Hameiri, P. Laurence, and M. Mond, J. Geophys. Res.: Space Phys. 96, 1513 (1991).
C. Z. Cheng and Q. Qian, J. Geophys. Res.: Space Phys. 99, 11193 (1994).
A. Chan, M. Xia, and L. Chen, J. Geophys. Res.: Space Phys. 99, 17351 (1994).
Z. Yoshida, Y. Ogawa, J. Morikawa, S. Watanabe, Y. Yano, S. Mizumaki, T. Tosaka, Y. Ohtani, A. Hayakawa, and M. Shibui, Plasma Fusion Res. 1, 008 (2006).
Z. Yoshida, Y. Ogawa, J. Morikawa, M. Furukawa, H. Saitoh, M. Hirota, D. Hori, J. Shiraishi, S. Watanabe, S. Numazawa, Y. Yano, and J. Suzuki, Fusion Sci. Technol. 51 (2T), 29 (2007).
Z. Yoshida, H. Saitoh, J. Morikawa, Y. Yano, S. Watanabe, and Y. Ogawa, Phys. Rev. Lett. 104, 235004 (2010).
M. N. Rosenbluth and C. L. Longmire, Ann. Phys. 1, 120 (1957).
I. B. Bernstein, E. Frieman, M. Kruskal, and R. Kulsrud, Proc. R. Soc. London, Ser. A 244 (1236), 17 (1958).
B. B. Kadomtsev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Consultants Bureau, New York, 1966), Vol. 2, p. 153.
P. N. Vabishchevich, L. M. Degtyarev, V. V. Drozdov, Yu. Yu. Poshekhonov, and V. D. Shafranov, Sov. J. Plasma Phys. 7, 536 (1981).
V. P. Pastukhov and N. V. Chudin, Plasma Phys. Rep. 27, 907 (2001).
V. P. Pastukhov and N. V. Chudin, in Proceedings of the 19th International Conference on Fusion Energy, Lyon, 2002, Paper TH/2-5.
V. P. Pastukhov and N. V. Chudin, JETP Lett. 82, 356 (2005).
V. P. Pastukhov, JETP Lett. 67, 940 (1998).
V. P. Pastukhov, Plasma Phys. Rep. 26, 529 (2000).
V. P. Pastukhov, Plasma Phys. Rep. 31, 577 (2005).
A. I. Morozov and V. P. Pastukhov, Sov. J. Plasma Phys. 18, 410 (1992).
V. P. Pastukhov and A. Yu. Sokolov, Nucl. Fusion 32, 1725 (1992).
B. D. Scott, Plasma Phys. Control. Fusion 48, B277 (2006).
Y. Idomura, H. Urano, N. Aiba, and S. Tokuda, Nucl. Fusion 49, 065029 (2009).
X. Garbet, Nucl. Fusion 51, 094003 (2011).
T. S. Hahm, Nucl. Fusion 53, 104026 (2013).
P. W. Terry, D. Carmody, H. Doerk, W. Guttenfelder, D. R. Hatch, C. C. Hegna, A. Ishizawa, F. Jenko, W. M. Nevins, I. Predebon, M. J. Pueschel, J. S. Sarff, and G. G. Whelan, Nucl. Fusion 55, 104011 (2015).
V. P. Pastukhov and N. V. Chudin, JETP Lett. 90, 651 (2009).
V. P. Pastukhov and N. V. Chudin, in Proceedings of the 23nd IAEA Fusion Energy Conference, Daejeon, 2010, Paper THC/P4-22.
V. P. Pastukhov, N. V. Chudin, and D. V. Smirnov, Plasma Phys. Control. Fusion 53, 054015 (2011).
V. P. Pastukhov, N. V. Chudin, and D. V. Smirnov, in Proceedings of the 38th EPS Conference on Plasma Physics, Strasbourg, 2011, Paper P4.136. http://ocs.ciemat.es/EPS2011PAP/pdf/P4.136.pdf.
V. P. Pastukhov and D. V. Smirnov, Plasma Phys. Rep. 42, 307 (2016).
B. Coppi, Comments Plasma Phys. Control. Fusion 5, 261 (1980).
Yu. V. Esiptchuk and K. A. Razumova, Plasma Phys. Control. Fusion 28, 1253 (1986).
K. A. Razumova, V. F. Andreev, A. J. H. Donné, G. M. D. Hogeweij, S. E. Lysenko, D. A. Shelukhin, G. W. Spakman, V. A. Vershkov, and V. A. Zhuravlev, Plasma Phys. Control. Fusion 48, 1373 (2006).
K. A. Razumova, V. F. Andreev, A. Yu. Dnestrovskij, A. Ya. Kislov, N. A. Kirneva, S. E. Lysenko, Yu. D. Pavlov, V. I. Poznyak, T. V. Shafranov, E. V. Trukhina, and V. A. Zhuravlev, Plasma Phys. Control. Fusion 50, 105004 (2008).
D. Biscamp, Comments Plasma Phys. Control. Fusion 10, 165 (1986).
B. B. Kadomtsev, Sov. J. Plasma Phys. 13, 443 (1987).
Yu. N. Dnestrovskii, A. Yu. Dnestrovskii, S. E. Lysenko, S. V. Cherkasov, and M. D. Walsh, Plasma Phys. Rep. 30, 1 (2004).
Yu. N. Dnestrovskii, A. Yu. Dnestrovskii, and S. E. Lysenko, Plasma Phys. Rep. 31, 529 (2005).
V. V. Yan’kov, JETP Lett. 60, 171 (1994).
V. V. Yankov and J. Nycander, Phys. Plasmas 4, 2907 (1997).
G. V. Pereverzev and P. N. Yushmanov, Report 282186 (Max-Planck-Institut für Plasmaphysik, Garching, 2002). http://edoc.mpg.de/282186.
V. P. Pastukhov, N. A. Kirneva, and D. V. Smirnov, Plasma Phys. Rep. 45, 1099 (2019).
A. Yu. Dnestrovskii, V. P. Pastukhov, and N. V. Chudin, Plasma Phys. Rep. 43, 405 (2017).
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Translated by L. Mosina
This article was prepared based on the results of the International Conference “Space Plasma Research—Prospects for the Next Decades” dedicated to the 80th anniversary of Academician Albert Abubakirovich Galeev.
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Pastukhov, V.P. Turbulent Relaxation and Anomalous Plasma Transport. Plasma Phys. Rep. 47, 892–906 (2021). https://doi.org/10.1134/S1063780X21090063
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DOI: https://doi.org/10.1134/S1063780X21090063