RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1986

 / 

April

←  →

Reviews of topical problems


Present state of the theory of the MHD equilibrium and stability of stellarator plasmas

 a,  b
a Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation
b Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

The MHD theory of the equilibrium and stability of the plasma in a stellarator is set forth. Various ways to develop magnetic configurations of the stellarator type are examined. The basic characteristics of the devices presently in operation are reported. The method of averaging over the rapidly varying spatial variable is described. This method is used to study the plasma equilibrium and also the stability with respect to current-driven kink modes and ballooning modes. The limiting plasma pressure, determined jointly by the conditions for plasma equilibrium and stability, is discussed. Methods for raising this limit are described. The present state of the theory of the MHD equilibrium and stability of plasmas in stellarators is summarized. The basic problems for further development of this theory are outlined.

Fulltext pdf (920 KB)
Fulltext is also available at DOI: 10.1070/PU1986v029n04ABEH003308
PACS: 52.35.Py, 52.55.Hc, 52.25.Fi (all)
DOI: 10.1070/PU1986v029n04ABEH003308
URL: https://ufn.ru/en/articles/1986/4/c/
Citation: Kovrizhnykh L M, Shchepetov S V "Present state of the theory of the MHD equilibrium and stability of stellarator plasmas" Sov. Phys. Usp. 29 343–363 (1986)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Коврижных Л М, Щепетов С В «Современное состояние теории магнитогидродинамического равновесия и устойчивости плазмы в стеллараторах» УФН 148 637–670 (1986); DOI: 10.3367/UFNr.0148.198604c.0637

References (114) ↓ Cited by (7) Similar articles (20)

  1. Kovrizhnykh L M Nucl. Fusion. 24 851 (1984)
  2. Funato J et al. Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics (Moscow, 1981), E-3
  3. Glagolev V M et al. Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics (Moscow, 1981), E-8
  4. Boozer A H et al. Proceedings of the Ninth International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Baltimore (Vienna: IAEA, 1983, 1982), CN-41/Q-4
  5. Miyamoto K Nucl. Fusion 18 243 (1978)
  6. Rabinovich M S Itogi Nauki i Tekhniki. Ser. Fizika Plazmy Vol. 2 (M.: VINITI, 1981) p. 6
  7. Volkov E D, Suprunenko V A, Shishkin A A Stellarator (Kiev: Naukova dumka, 1983)
  8. Spitzer L Phys. Fluids 1 253 (1958)
  9. Koenig H R Report of US Atomic Energy Commisison NYO-7310 (1956)
  10. Morozov A I, Solov’ev L S Voprosy Teorii Plazmy Vol. 2 (M.: Gosatomizdat, 1963) p. 3
  11. Bogolyubov N N, Mitrpol’skii Yu A Asimptoticheskie Metody v Teorii Nelineinykh Kolebanii (M.: Nauka, 1974) p. 355
  12. Bil’nikov V K Dokl. Akad. Nauk SSSR 144 747 (1962); Bil’nikov V K Sov. Phys. Dokl. 7 502 (1962); Bil’nikov V K Dokl. Akad. Nauk SSSR 149 1056 (1963); Bil’nikov V K Sov. Phys. Dokl. 8 362 (1963)
  13. Danilkin I S, Karpenko I K Zh. Tekh. Fiz. 39 1959 (1969); Danilkin I S, Karpenko I K Sov. Phys. Tech. Phys. 14 1477 (1970)
  14. Rosenbluth M N et al. Nucl. Fusion 6 297 (1966)
  15. Gourdon C et al. Proceedings of the Third International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Novosibirsk Vol. 1 (Vienna: IAEA, 1969, 1968)
  16. Gourdon C, Hubert P, Marty D C. R. Acad. Sci. 271 843 (1970)
  17. Kruckewitt T W, Shohet J L Nucl. Fusion 20 375 (1980)
  18. Popov S N, Popryadukhin A P Zh. Tekh. Fiz. 36 390 (1966); Popov S N, Popryadukhin A P Sov. Phys. Tech. Phys. 11 284 (1967)
  19. Ivanovkii M A, Popov S N, Popryadukhin A P Tr. FIAN SSSR 65 65 (1973)
  20. Rehker S, Wobig H Proceedings of th Sixth European Conference on Controlled Fusion and Plasma Physics Vol. 1 (Moscow, 1973) p. 117
  21. Chu T K et al. Nucl. Fusion 22 871 (1982)
  22. W-7A Team, Nucl. Fusion 20 1061 (1980)
  23. Kovrizhnykh L M Zh. Tekh. Fiz. 31 888 (1961); Kovrizhnykh L M Sov. Phys. Tech. Phys. 6 643 (1962)
  24. Okamoto M, Shimizu K, Amano T Proceedings of the International Conference on Plasma Physics Vol. 1 (Nagoya, 1980) p. 153
  25. Volkov E D i dr. Preprint 81-45 (Khar’kov: Khar’kovskii politekhnicheskii institut, 1981)
  26. Grebenshchikv S E, Kornev B I, Shpigel’ I S Fiz. Plazmy 8 458 (1982); Grebenshchikov S E, Kornev B I, Shpigel’ I S Sov. J. Plasma Phys. 8 256 (1982)
  27. Uo K et al. Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics (Moscow, 1981), E-1
  28. Uo K, liyoshi A, Obiki T Proceedings of the Eighth International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Brussels Vol. 1 (Vienna: IAEA, 1981, 1980) p. 217
  29. Uo K J. Phys. Soc. Jpn. 16 1380 (1961)
  30. Johnson J L et al. Phys. Fluids 1 281 (1958)
  31. Johnson J L, Greene J M Phys. Fluids 4 1417 (1961)
  32. Johnson J L, Greene J M, Coppy B Phys. Fluids 6 1169 (1963)
  33. Johnson J L, Greene J M, Weimer K E Plasma Phys. 8 145 (1966)
  34. Mikhailov M I Fiz. Plazmy 6 45 (1980); Mikhailov M I Sov. J. Plasma Phys. 6 25 (1980)
  35. Mikhailov M I, Shafranov V D Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics (Moscow, 1981), E-9
  36. Shafranov V D Phys. Fluids 26 357 (1983)
  37. Pustovoit V D Fizika Plazmy 8 473 (1982); Pustovitov V D Sov. J. Plasma Phys. 8 265 (1982); Mikhailov M I, Pustovoit V D, Shafranov V D Pis’ma ZhETF 35 152 (1982); Mikhailov M I, Pustovitov V D, Shafranov V D JETP Lett. 35 186 (1982)
  38. Kovrizhnykh L M, Shchepetov S V Fizika Plazmy 6 976 (1980); Kovrizhnukh L V, Shchepetov S V Sov. J. Plasma Phys. 6 533 (1980)
  39. Kovrizhnykh L M, Shchepetov S V Fizika Plazmy 7 419 (1981); Kovrizhnukh L V, Shchepetov S V Sov. J. Plasma Phys. 7 229 (1981)
  40. Kovrizhnukh L V, Shchepetov S V Nucl. Fusion 23 859 (1983)
  41. Strauss H R Plasma Phys. 22 733 (1980)
  42. Strauss N R, Monticello D A Phys. Fluids 24 1148 (1981)
  43. Kadmtsev B B, Pogutse O P Zh. Eksp. Teor. Fiz. 65 575 (1973)
  44. Kadomtsev B B, Pogutse O P, Yurchenko E I Proceedings of the Tenth International Conference on Plasma Physics and Controlled Fusion (Baltimore, 1982), Rept. P-2
  45. Schmalz R F Phys. Lett. A 82 14 (1982)
  46. Edery D, Pellat R, Soule J L Rept. EUR-CEA-EC-1109, France (1981)
  47. Mercier C Nucl. Fusion 3 89 (1963)
  48. Mercier C Nucl. Fusion 4 213 (1964)
  49. Solov’ev L S, Shafranov V D Voprosy Teorii Plazmy Vol. 5 (M.: Atomizdat, 1967) p. 3
  50. Shafranov V D, Yurchenko E I Nucl. Fusion 9 285 (1969)
  51. Lortz D, Nührenberg J Z. Naturforsch 31a 1277 (1976)
  52. Lortz D, Nührenberg J Nucl. Fusion 17 125 (1977)
  53. Bauer F, Betancourt O, Garabedian D A Computational Method In Plasma Physics (New York Springer-Verlag, 1978)
  54. Chodura R, Schluter A J. Comput. Phys. 11 68 (1981)
  55. Hender T C, Carreras B A, Lynch V E Bull. Am. Phys. Soc. 27 1020 (1982)
  56. Carreras B A, Hicks H R, Holmes J A Phys. Fluids 26 3569 (1983)
  57. Pustovitov V D Nucl. Fusion 23 1079 (1983)
  58. Kovrizhnykh L M Plasma Phys. 26 195 (1984)
  59. Shafranov V D Zh. Eksp. Teor. Fiz. 33 710 (1957); Shafranov V D Sov. Phys. JETP 6 545 (1958)
  60. Grad G, Rubin G Trudy Vtoroi mezhdunarodnoi konferentsii po mirnomu ispol’zovaniyu atomnoi energii. Zheneva, 1958: Izbrannye doklady inostrannykh uchenykh Vol. 1 (M.: Atomizdat, 1959) p. 131
  61. Greene J M, Johnson J L Phys. Fluids 4 875 (1961)
  62. Chodura R et al. IEEE Trans. Plasma Sci. 9 221 (1981)
  63. Danilkin I S Fizika Plazmy 11 34 (1985); Danilkin I S Sov. J. Plasma Phys. 11 19 (1985)
  64. Danilkin I S, Kovrizhnykh L M, Shchepetov S V Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics (Moscow, 1981), E-10
  65. Kovrizhnykh L M, Shchepetov S V Fizika Plazmy 7 965 (1981); Kovrizhnykh L M, Shchepetov S V Sov. J. Plasma Phys. 7 527 (1981)
  66. V. D. Pustovitov, V. D. Shafranov, L. E. Zakharov, et al Proceedings of the Ninth International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Baltimore, 1982 Vol. 2 (Vienna: IAEA, 1983) p. 541
  67. Carreras B A et al. Nucl. Fusion 24 1347 (1984)
  68. Kadomtsev B B, Pogutse O P Voprosy Teorii Plazmy Vol. 5 (M.: Atomizdat, 1967) p. 209
  69. Wesson J A Nucl. Fusion 18 87 (1978)
  70. Mukhovatov V A Itogi Nauki i Tekhniki. Ser. Fizika Plazmy Vol. 1 (M.: VINITI, 1980) p. 6, Ch. 1
  71. Kadomtsev B B, Shafranov V D Usp. Fiz. Nauk 139 399 (1983); Kadomtsev B B, Shafranov V D Sov. Phys. Usp. 26 207 (1983)
  72. Vait R Osnovy Fiziki Plazmy Vol. 1 (M.: Energoatomizdat, 1983) p. 525
  73. Shafranov V D Zh. Tekh. Fiz. 40 241 (1970); Shafranov V D Sov. Phys. Tech. Phys. 15 175 (1970)
  74. Newcomb W A Ann. Physics 10 232 (1960)
  75. Bussac M N et al. Phys. Rev. Lett. 35 1638 (1975)
  76. Zakharov L E Fizika Plazmy 4 898 (1978); Zakharov L E Sov. J. Plasma Phys. 4 503 (1978)
  77. Pogutse O P, Yurchenko E I Fiz. Plazmy 3 504 (1977); Pogutse O P, Yurchenko E I Sov. J. Plasma Phys. 3 283 (1977)
  78. Glasser A N, Furth H P, Rutherford P H Phys. Rev. Lett. 38 234 (1977)
  79. Matsuoka K, Miyamoto K Nucl. Fusion 19 837 (1979)
  80. Matsuoka K et al. Nucl. Fusion 17 1123 (1977)
  81. Kovrizhnykh L M, Shchepetov S V Preprint №173 (M.: FIAN SSSR, 1981)
  82. Kuznetsov Yu K, Tonkopryad V M Fizika Plazmy 6 639 (1980); Kuznetsov Yu K, Tonkopryad V M Sov. J. Plasma Phys. 6 351 (1980)
  83. Wakatani M Nucl. Fusion 18 1499 (1978)
  84. Wakatani M Nucl. Fusion 19 1235 (1979)
  85. Rutherford P H Phys. Fluids 16 1903 (1973)
  86. White R B et al. Phys. Fluids 20 800 (1977)
  87. Carreras B, Waddell B V, Hickes H R Nucl. Fusion 19 1423 (1979)
  88. Biscamp D Nucl. Fusion 19 777 (1979)
  89. Mirnov S V, Semenov I B Zh. Eksp. Teor. Fiz. 60 2134 (1971)
  90. JIPP-T2 Team, Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics (Moscow, 1981), E-5
  91. Waddell B V et al. Phys. Fluids 22 896 (1979)
  92. Biscamp D Nucl. Fusion 18 1059 (1978)
  93. Carreras B et al. Phys. Fluids 23 1811 (1980)
  94. Von Goeler S, Stodiek W, Sautoff N Phys. Rev. Lett. 33 1201 (1974)
  95. Kadomtsev B B Fizika Plazmy 1 710 (1975); Kadomtsev B B Sov. J. Plasma Phys. 1 389 (1975)
  96. Callen J D, Jahns G L Phys. Rev. Lett. 38 491 (1977)
  97. Danilov N F i dr. Fizika Plazmy 2 167 (1976); Danilov N F et al. Sov. J. Plasma Phys. 2 93 (1976)
  98. Uo K et al. Proceedings of the Ninth International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Baltimore, 1982 Vol. 2 (Vienna: IAEA, 1983) p. 209
  99. Wakatani M et al. Nucl. Fusion 23 1669 (1983)
  100. Suydam B R Proceedings of the Second UN International Conference on the Peaceful Uses of Atomic Energy Vol. 31 (Geneva, 1958) p. 157
  101. Shafranov V D, Yurchenko E I Zh. Eksp. Teor. Fiz. 53 1157 (1967); Shafranov V D, Yurchenko E I Sov. Phys. JETP 26 682 (1968)
  102. Mercier C Nucl. Fusion 2 81 (1962)
  103. Kovrizhnykh L M, Shchepetov S V Preprint №47 (1980), (M.: FIAN SSSR)
  104. Shohet J L, Anderson D T Comm. Plasma Phys. Contr. Fusion 7 103 (1982)
  105. Kovrizhnykh L M, Shchepetov S V Pis’ma ZhETF 33 419 (1981)
  106. Kovrizhnykh L M, Shchepetov S V Proceedings of the Tenth European Conference on Controlled Fusion and Plasma Physics (Moscow, 1981) p. E-11
  107. Mikhailovskii A B, Shafranov V D Zh. Eksp. Teor. Fiz. 66 190 (1974)
  108. Connor J W, Hastie R J, Taylor J B Phys. Rev. Lett. 40 396 (1978)
  109. Pogutse O P, Yurchenko E I Pis’ma ZhETF 28 344 (1978); Pogutse O P, Yurchenko E I JETP Lett. 28 318 (1978)
  110. Pogutse O P, Yurchenko E I Voprosy Teorii Plazmy Vol. 11 (M.: Energoatomizdat, 1982) p. 56
  111. Mikhailov M I, Shafranov V D Plasma Phys. 24 233 (1982)
  112. Mikhailovsky A B Nucl. Fusion 15 95 (1975)
  113. Glasser A N, Greene J M, Johnson J L Phys. Fluids 18 875 (1975)
  114. Anania G, Johnson J L Phys. Fluids 26 3070 (1983)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions