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Issue 9, 2026
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100th anniversary of the birth of Ya.B. Zeldovich


Dynamos: from an astrophysical model to laboratory experiments

 a,  b, c,  b
a Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
b Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. akad. Koroleva 1, Perm, 614013, Russian Federation
c Perm National Research Polytechnic University, Komsomol'skii prosp. 29, Perm, 614990, Russian Federation

Magnetic field generation and evolution in celestial bodies — the subject matter of the theory of the dynamo — held Ya.B. Zeldovich’s interest for years. Over the time since then the study of the dynamo process has developed from a part of theoretical astro- and geophysics to a self-contained domain of physics, with the possibility of laboratory dynamo experiments. We give some theoretical background and discuss laboratory dynamo experiments (including those conducted in Russia) as well as their impact on dynamo theory and its astrophysical applications.

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Fulltext is also available at DOI: 10.3367/UFNe.0184.201403g.0313
PACS: 07.55.Db, 41.20.−q, 91.25.−r, 96.12.Hg, 96.60.Hv (all)
DOI: 10.3367/UFNe.0184.201403g.0313
URL: https://ufn.ru/en/articles/2014/3/h/
000337360600007
2-s2.0-84902170299
2014PhyU...57..292S
Citation: Sokoloff D D, Stepanov R A, Frick P G "Dynamos: from an astrophysical model to laboratory experiments" Phys. Usp. 57 292–311 (2014)
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Received: 1st, October 2013, 12th, November 2013

Оригинал: Соколов Д Д, Степанов Р А, Фрик П Г «Динамо: на пути от астрофизических моделей к лабораторному эксперименту» УФН 184 313–335 (2014); DOI: 10.3367/UFNr.0184.201403g.0313

References (162) ↓ Cited by (58) Similar articles (15)

  1. Zel’dovich Ya B, Ruzmaikin A A, Sokoloff D D Magnetic Fields In Astrophysics (New York: Gordon and Breach, 1983); ’O’?’?ь’?’?’?’?ch Ya ’G, ’iу’?’?’?’?’?’?’? ’B ’B, ’l’?’?’?’?’?’? ’K ’K ’a’?’?’?’?т’?ы’? ’?’?’?ya ’? ’?стр’?ф’?’?’?’?’? (’a. - ’Rzh’?’?с’?: ’R’?ст. ’?’?’?’?ьyuт. ’?сс’?’?’?., ’iKh’K, 2006)
  2. Baliunas S L et al. Astrophys. J. 438 269 (1995)
  3. Fermi E Phys. Rev. 75 1169 (1949)
  4. Chandrasekhar S, Fermi E Astrophys. J. 118 113 (1953)
  5. Beck R et al. Annu. Rev. Astron. Astrophys. 34 155 (1996)
  6. Larmor J (Sir) Report of the 87th Meeting of the British Association for the Advancement of Science, Bournemouth, September 9 - 13, 1919 (London: John Murray, 1920) p. 159; http://www.biodiversitylibrary.org/item/96028
  7. ’E’?’?’?shт’?’?’? ’l ’R, ’O’?’?ь’?’?’?’?ch Ya ’G Usp. Fiz. Nauk 106 431 (1972); Vainshtein S I, Zel’dovich Ya B Sov. Phys. Usp. 15 159 (1972)
  8. ’O’?’?ь’?’?’?’?ch Ya ’G Usp. Fiz. Nauk 152 3 (1987); Zel’dovich Ya B Sov. Phys. Usp. 30 353 (1987)
  9. ’O’?’?ь’?’?’?’?ch Ya ’G, ’iу’?’?’?’?’?’?’? ’B ’B Usp. Fiz. Nauk 152 263 (1987); Zeldovich Ya B, Ruzmaikin A A Sov. Phys. Usp. 30 494 (1987)
  10. ’iу’?’?’?’?’?’?’? ’B ’B Usp. Fiz. Nauk 150 469 (1986); Ruzmaikin A A Sov. Phys. Usp. 29 1069 (1986)
  11. ’a’?’?ch’?’?’?’? ’l ’B, ’iу’?’?’?’?’?’?’? ’B ’B, ’l’?’?’?’?’?’? ’K ’K Usp. Fiz. Nauk 145 593 (1985); Molchanov S A, Ruzmaikin A A, Sokolov D D Sov. Phys. Usp. 28 307 (1985)
  12. ’l’?’?’?р’?ы’? ’B ’G Usp. Fiz. Nauk 88 3 (1966); Severnyi A B Sov. Phys. Usp. 9 1 (1966)
  13. Childress S, Gilbert A D Stretch, Twist, Fold : The Fast Dynamo (Berlin: Springer, 1995)
  14. Alfvén H Rev. Geophys. 15 271 (1977)
  15. ’z’?’?’?’?’?р’?’?’?’? Yu ’G Zhур’?. ’?р’?’?’?. ’?’?kh. т’?kh. ф’?’?. (6) 47 (1973); Ponomarenko Yu B J. Appl. Mech. Tech. Phys. 14 775 (1973)
  16. Zeldovich Ya B, Ruzmaikin A A, Sokoloff D D The Almighty Chance (World Scientific Lecture Notes in Physics) Vol. 20 (Singapore: World Scientific, 1990) p. 316
  17. ’F’?’?’?’?ts’?’? ’B ’z Zh. Eksp. Teor. Fiz. 53 1806 (1967); Kazantsev A P Sov. Phys. JETP 26 1031 (1968)
  18. Kraichnan R H, Nagarajan S Phys. Fluids 10 859 (1967)
  19. Parker E N Astrophys. J. 122 293 (1955)
  20. Steenbeck M, Krause F, Rädler K-H Z. Naturforsch. A 21 369 (1966)
  21. Rädler K-H, Brandenburg A Phys. Rev. E 77 026405 (2008)
  22. ’O’?’?ь’?’?’?’?ch Ya ’G Zh. Eksp. Teor. Fiz. 31 154 (1956); Zel’dovich Ya B Sov. Phys. JETP 4 460 (1957)
  23. Zel’dovich Ya B et al. J. Fluid Mech. 144 1 (1984)
  24. ’Bр’?’?’?ь’? ’E ’R ’? ’?р. Dokl. Akad. Nauk SSSR 266 1357 (1982); Arnol’d V I et al. Sov. Phys. Dokl. 27 814 (1982)
  25. ’O’?’?ь’?’?’?’?ch Ya ’G Zh. Eksp. Teor. Fiz. 7 1466 (1937)
  26. Kogan V R, Kolokolov I V, Lebedev V V J. Phys. A Math. Theor. 43 182001 (2010)
  27. ’E’?’?’?kh’?’? ’M ’z Zh. Eksp. Teor. Fiz. 36 1399 (1959); Velikhov E P Sov. Phys. JETP 9 995 (1959)
  28. ’E’?’?’?kh’?’? ’M ’z ’z’?сь’?’? Zh’e’n’s 82 785 (2005); Velikhov E P JETP Lett. 82 696 (2005)
  29. ’F’?ch’?т’?’?’?’? ’’ ’’ Usp. Fiz. Nauk 175 475 (2005); Kichatinov L L Phys. Usp. 48 449 (2005)
  30. Krause F, Rädler K-H Mean-Field Magnetohydrodynamics And Dynamo Theory (Oxford: Pergamon Press, 1980)
  31. Rädler K-H, Kleeorin N, Rogachevskii I Geophys. Astrophys. Fluid Dyn. 97 249 (2003)
  32. Rädler K-H, Stepanov R Phys. Rev. E 73 056311 (2006)
  33. Rädler K-H Monatsber. Deutsch. Akad. Wissenschaft. Berlin 11 194 (1969)
  34. Moffatt H K, Proctor M R E Geophys. Astrophys. Fluid Dyn. 21 265 (1982)
  35. Tobias S M, Cattaneo F Nature 497 463 (2013)
  36. Weiss N O Proc. R. Soc. Lond. A 293 310 (1966)
  37. ’lт’?’?’?’?’?’? ’i ’B Astron. Zh. 76 243 (1999); Stepanov R A Astron. Rep. 43 205 (1999)
  38. Brandenburg A, Urpin V Astron. Astrophys. 332 L41 (1998)
  39. Rädler K-H, Brandenburg A Astron. Nachr. 331 14 (2010)
  40. Yoshizawa A Phys. Fluids B 2 1589 (1990)
  41. Yoshizawa A Publ. Astron. Soc. Jpn. 45 129 (1993)
  42. Sur S, Brandenburg A Mon. Not. R. Astron. Soc. 399 273 (2009)
  43. Yokoi N Geophys. Astrophys. Fluid Dyn. 107 114 (2013)
  44. Krause F, Rädler K H Ergebnisse Der Plasmaphysik Und Der Gaselektronik Vol. 2 (Eds R Rompe, M Steenbeck) (Berlin: Akademie-Verlag, 1971) p. 1
  45. Schrinner M et al. Astron. Nachr. 326 245 (2005)
  46. Schrinner M et al. Geophys. Astrophys. Fluid Dyn. 101 81 (2007)
  47. Rädler K-H, Rheinhardt M Geophys. Astrophys. Fluid Dyn. 101 117 (2007)
  48. Gailitis A et al. Phys. Rev. Lett. 84 4365 (2000)
  49. Gailitis A et al. Phys. Rev. Lett. 86 3024 (2001)
  50. Stieglitz R, Müller U Phys. Fluids 13 561 (2001)
  51. Monchaux R et al. Phys. Rev. Lett. 98 044502 (2007)
  52. Ravelet F et al. Phys. Rev. Lett. 101 074502 (2008)
  53. Fuchs H, Rädler K-H, Rheinhardt M Astron. Nachr. 320 129 (1999)
  54. Bullard E (Sir) Math. Proc. Cambr. Philos. Soc. 51 744 (1955)
  55. Bourgoin M et al. New J. Phys. 8 329 (2006)
  56. Herzenberg A Philos. Trans. R. Soc. London A 250 543 (1958)
  57. Brandenburg A, Moss D, Soward A M Proc. R. Soc. Lond. A 454 1283 (1998)
  58. Lowes F J, Wilkinson I Nature 198 1158 (1963)
  59. Ruzmaikin A, Sokoloff D, Shukurov A J. Fluid Mech. 197 39 (1988)
  60. Gilbert A D Geophys. Astrophys. Fluid Dyn. 44 241 (1988)
  61. ’I’?’?’?’?т’?с ’B, ’sр’?’?’?’?р’? Ya ’a’?’?’?’?т’?’?ya ’?’?’?р’?’?’?’?’?’?’?’?’? 12 (2) 3 (1976); Gailitis A, Freiberg Ya Magnetohydrodynamics 12 127 (1976)
  62. ’l’?’?’?’?ь’?’? ’B ’B Dokl. Akad. Nauk SSSR 282 44 (1985)
  63. ’lт’?’?’?’?’?’? ’i ’B, ’sр’?’? ’z ’I "’E’?’?т’?’?’?’? ’a’I’K-’?’?’?’?’?’? ’? р’?’?’?ь’?ыkh ’?’?т’?’?’?kh ’? тру’?’?kh" ’I’?’?р’?’?’?’?’?’?’?’?’?: ’l’?. ’?’?уch’?ыkh тру’?’?’? ’z’I’p ’Eы’?. 12 (’z’?р’?ь: ’z’?р’?с’?’?’? ’?’?с. у’?-т, 1999) с. 240
  64. Stefani F, Gerbeth G, Gailitis A Transfer Phenomena In Magnetohydrodynamic And Electroconducting Flows (Fluid Mechanics and Its Applications) Vol. 51 (Eds A Alemany, Ph Marty, J P Thibault) (Dordrecht: Kluwer Acad. Publ., 1999) p. 31
  65. ’’у’?ya’? ’M ’B, Shchу’?ур’?’? ’B ’a ’a’?’?’?’?т’?’?ya ’?’?’?р’?’?’?’?’?’?’?’?’? 28 (3) 29 (1992); Lupyan E A, Shukurov A Magnetohydrodynamics 28 234 (1992)
  66. ’I’?’?’?’?т’?с ’B ’F ’? ’?р. ’a’?’?’?’?т’?’?ya ’?’?’?р’?’?’?’?’?’?’?’?’? 23 (4) 3 (1987); Gailitis A K et al. Magnetohydrodynamics 23 349 (1987)
  67. ’K’?’?’?с’?’? ’l ’B ’? ’?р. Dokl. Ross. Akad. Nauk 365 478 (1999); Denisov S A et al. Dokl. Phys. 44 231 (1999)
  68. ’K’?’?’?с’?’? ’l ’B ’? ’?р. ’R’?’?. ’i’B’v ’a’?kh’?’?’?’?’? zh’?’?’?’?ст’? ’?’?’?’? (5) 73 (2001); Denisov S A et al. Fluid Dynamics 36 734 (2001)
  69. Frick P et al. Magnetohydrodynamics 38 143 (2002)
  70. Noskov V et al. Eur. Phys. J. B 41 561 (2004)
  71. Stepanov R et al. Phys. Rev. E 73 046310 (2006)
  72. Frick P et al. Magnetohydrodynamics 48 31 (2012)
  73. ’lт’?’?’?’?’?’? ’i ’B, Chу’?’?’? ’B ’E, ’sр’?’? ’z ’I ’Eыch’?с’?’?т’?’?ь’?’?ya ’?’?kh’?’?’?’?’? с’?’?’?sh’?ыkh ср’?’? 1 (1) 109 (2008)
  74. Dobler W, Frick P, Stepanov R Phys. Rev. E 67 056309 (2003)
  75. Chupin A, Frick P, Stepanov R Astron. Nachr. 332 11 (2011)
  76. ’K’?’?’?с’?’? ’l ’B ’? ’?р. ’z’?сь’?’? Zh’e’n’s 88 198 (2008); Denisov S A et al. JETP Lett. 88 167 (2008)
  77. Khalilov R, Kolesnichenko I, Stepanov R Magnetohydrodynamics 49 73 (2013)
  78. Frick P et al. Phys. Rev. Lett. 105 184502 (2010)
  79. Noskov V et al. Phys. Rev. E 85 016303 (2012)
  80. Rädler K-H, Stepanov R Geophys. Astrophys. Fluid Dyn. 100 379 (2006)
  81. Steenbeck M et al. Monatsber. Deutsch. Akad. Wissenschaft. Berlin 9 714 (1967)
  82. Shт’?’?’?’?’?’? ’a, ’Fр’?у’?’? ’s ’a’?’?’?’?т’?’?ya ’?’?’?р’?’?’?’?’?’?’?’?’? 3 (3) 19 (1967); Steenbeck M, Krauze F Magnetohydrodynamics 3 8 (1967)
  83. ’I’?’?’?’?т’?с ’B ’F ’a’?’?’?’?т’?’?ya ’?’?’?р’?’?’?’?’?’?’?’?’? 3 (3) 45 (1967); Gailitis A Magnetohydrodynamics 3 23 (1967)
  84. Roberts G O Philos. Trans. R. Soc. London A 271 411 (1972)
  85. Busse F H Geophys. J. Int. 42 437 (1975)
  86. ’Gусс’? ’s ’? ’?р. ’a’?’?’?’?т’?’?ya ’?’?’?р’?’?’?’?’?’?’?’?’? 32 259 (1996); Busse F et al. Magnetohydrodynamics 32 235 (1996)
  87. Rädler K-H et al. Studia Geophys. Geodaetica 42 224 (1998)
  88. Tilgner A Phys. Lett. A 226 75 (1997)
  89. Rädler K-H et al. Magnetohydrodynamics 38 41 (2002)
  90. Rädler K-H et al. Magnetohydrodynamics 38 73 (2002)
  91. Stieglitz R, Müller U Magnetohydrodynamics 38 27 (2002)
  92. Colgate S A et al. Magnetohydrodynamics 38 129 (2002)
  93. Colgate S A Astron. Nachr. 327 456 (2006)
  94. Forest C B et al. Magnetohydrodynamics 38 107 (2002)
  95. Spence E J et al. Phys. Rev. Lett. 96 055002 (2006)
  96. Spence E J et al. Phys. Rev. Lett. 98 164503 (2007)
  97. Nornberg M D et al. Phys. Rev. Lett. 97 044503 (2006)
  98. Marié L et al. Magnetohydrodynamics 38 163 (2002)
  99. Marié L et al. Eur. Phys. J. B 33 469 (2003)
  100. Odier P, Pinton J-F, Fauve S Phys. Rev. E 58 7397 (1998)
  101. Bourgoin M et al. Magnetohydrodynamics 40 3 (2004)
  102. Ravelet F et al. Phys. Fluids 17 117104 (2005)
  103. Pétrélis F et al. Phys. Rev. Lett. 90 174501 (2003)
  104. Volk R et al. Phys. Rev. Lett. 97 074501 (2006)
  105. Stefani F et al. Eur. J. Mech. B 25 894 (2006)
  106. Giesecke A, Stefani F, Burguete J Phys. Rev. E 86 066303 (2012)
  107. Gallet B, Pétrélis F, Fauve S J. Fluid Mech. 727 161 (2013)
  108. Cardin P et al. Magnetohydrodynamics 38 177 (2002)
  109. Nataf H-C et al. Geophys. Astrophys. Fluid Dyn. 100 281 (2006)
  110. Gillet N et al. J. Fluid Mech. 580 83 (2007)
  111. Schmitt D et al. J. Fluid Mech. 604 175 (2008)
  112. Nataf H-C Comptes Rendus Physique 14 248 (2013)
  113. Rieutord M et al. Phys. Rev. E 86 026304 (2012)
  114. Lathrop D 549. Wilhelm und Else Heraeus-Seminar "Liquid Metal MHD", 15th - 18th October, 2013, Physikzentrum Bad Honnef, Germany
  115. Reighard A B, Brown M R Phys. Rev. Lett. 86 2794 (2001)
  116. ’iу’?’?’?’?’?’?’? ’B ’B, ’l’?’?’?’?’?’? ’K ’K, Shу’?ур’?’? ’B ’a ’a’?’?’?’?т’?ы’? ’?’?’?ya ’?’?’?’?’?т’?’? (’a.: ’v’?у’?’?, 1988)
  117. Parker E N Conversations On Electric And Magnetic Fields In The Cosmos (Princeton: Princeton Univ. Press, 2007); ’z’?р’?’?р Yu ’G’?с’?’?ы ’?’? э’?’?’?тр’?ch’?с’?’?kh ’? ’?’?’?’?’?т’?ыkh ’?’?’?yakh ’? ’?’?с’?’?с’? (’a. - ’Rzh’?’?с’?: ’R’?ст. ’?’?’?’?ьyuт. ’?сс’?’?’?., ’iKh’K, 2010)
  118. Hughes D W, Proctor M R E, Cattaneo F Mon. Not. R. Astron. Soc. 414 L45 (2011)
  119. Hale G E et al. Astrophys. J. 49 153 (1919)
  120. Stenflo J O, Kosovichev A G Astrophys. J. 745 129 (2012)
  121. Tlatov A et al. Mon. Not. R. Astron. Soc. 432 2975 (2013)
  122. Cattaneo F, Vainshtein S I Astrophys. J. Lett. 376 L21 (1991)
  123. Vainshtein S I, Cattaneo F Astrophys. J. 393 165 (1992)
  124. Gruzinov A V, Diamond P H Phys. Rev. Lett. 72 1651 (1994)
  125. Kleeorin N et al. Astron. Astrophys. 361 L5 (2000)
  126. Moffatt H K Magnetic Field Generation In Electrically Conducting Fluids (Cambridge: Cambridge Univ. Press, 1978); ’a’?фф’?т ’I ’F ’E’?’?’?уzh’?’?’?’?’? ’?’?’?’?’?т’?’?’?’? ’?’?’?ya ’? ’?р’?’?’?’?yashch’?’? ср’?’?’? (’a.: ’a’?р, 1980)
  127. Brandenburg A, Subramanian K Phys. Rep. 417 1 (2005)
  128. ’z’?р’?’?’?’?с’?’? ’z Usp. Fiz. Nauk 89 707 (1966); Paradoksov P Sov. Phys. Usp. 9 618 (1967)
  129. Kleeorin N I, Ruzmaikin A A Astron. Nachr. 305 265 (1984)
  130. Seehafer N Solar Phys. 125 219 (1990)
  131. Bao S, Zhang H Astrophys. J. Lett. 496 L43 (1998)
  132. Zhang H et al. Mon. Not. R. Astron. Soc. Lett. 402 L30 (2010)
  133. Zhang H et al. Astrophys. J. 751 47 (2012)
  134. Pipin V V et al. Astrophys. J. 768 46 (2013)
  135. Shchу Kh ’? ’?р. Astron. Zh. 86 182 (2009); Xu H et al. Astron. Rep. 53 160 (2009)
  136. Gradstein F M, Ogg J G, Smith A G (Eds) A Geologic Time Scale 2004 (Cambridge: Cambridge Univ. Press, 2005)
  137. ’z’?ch’?рс’?’?’? ’K ’a, ’l’?’?’?’?’?’? ’K ’K (’l’?ст.) "’z’?’?’?’?’?’?’?’?’?т’?ы’? с’?’?’?’?рь" (2011) http://paleomag.ifz.ru/books.html
  138. Olson P L et al. Phys. Earth Planet. Inter. 180 66 (2010)
  139. Galitsky V M, Sokoloff D D Acta Astron. Geophys. Univ. Comenianae 19 1 (1997)
  140. Glatzmaier G A et al. Nature 401 885 (1999)
  141. Hejda P, Reshetnyak M Phys. Earth Planet. Inter. 177 152 (2009)
  142. Ruzmaikin A A, Shukurov A M, Sokoloff D D Magnetic Fields Of Galaxies (Astrophysics and Space Science Library) Vol. 133 (Dordrecht: Kluwer Acad. Publ., 1988)
  143. Subramanian K, Mestel L Mon. Not. R. Astron. Soc. 265 649 (1993)
  144. Moss D Mon. Not. R. Astron. Soc. 275 191 (1995)
  145. Pipin V V Solar And Astrophysical Dynamos And Magnetic Activity, Proc. Of The International Astronomical Union (IAU Symp., Vol. 294, Eds A G Kosovichev, E De Gouveia Dal Pino, Y Yan) (Cambridge: Cambridge Univ. Press, 2013) p. 375
  146. ’l’?’?’?’? ’I ’l ’? ’?р. ’I’?’?’?’?’?’?. ’?эр’?’?’?’?’?ya 52 271 (2012); Sobko G S et al. Geomagn. Aeron. 52 254 (2012)
  147. Brandenburg A Space Sci. Rev. 144 87 (2009)
  148. Brandenburg A, Sokoloff D, Subramanian K Space Sci. Rev. 169 123 (2012)
  149. Brandenburg A, Sokoloff D Geophys. Astrophys. Fluid Dyn. 96 319 (2002)
  150. Sur S, Brandenburg A, Subramanian K Mon. Not. R. Astron. Soc. 385 L15 (2008)
  151. Brandenburg A et al. Astrophys. J. 676 740 (2008)
  152. Mitra D et al. Astron. Astrophys. 495 1 (2009)
  153. Rheinhardt M, Brandenburg A Astron. Astrophys. 520 A28 (2010)
  154. ’l’?’?’?’?’?’? ’K ’K, ’sр’?’? ’z ’I Astron. Zh. 80 556 (2003); Sokoloff D D, Frick P G Astron. Rep. 47 511 (2003)
  155. Frick P, Stepanov R, Sokoloff D Phys. Rev. E 74 066310 (2006)
  156. Stepanov R, Frick P, Sokoloff D Astron. Nachr. 327 481 (2006)
  157. ’lт’?’?’?’?’?’? ’i ’B, ’sр’?’? ’z ’I, ’l’?’?’?’?’?’? ’K ’K ’Eыch’?с’?’?т’?’?ь’?’?ya ’?’?kh’?’?’?’?’? с’?’?’?sh’?ыkh ср’?’? 1 (4) 97 (2008)
  158. Moss D et al. Astron. Astrophys. 537 A68 (2012)
  159. ’sр’?’? ’z ’I ’a’?’?’?’?т’?’?ya ’?’?’?р’?’?’?’?’?’?’?’?’? 20 (3) 48 (1984); Frik P G Magnetohydrodynamics 20 262 (1984)
  160. Frick P, Sokoloff D Phys. Rev. E 57 4155 (1998)
  161. ’a’?’?’?’?’? ’R ’B, ’lт’?’?’?’?’?’? ’i ’B, ’sр’?’? ’z ’I Dokl. Ross. Akad. Nauk 424 479 (2009); Mizeva I A, Stepanov R A, Frik P G Dokl. Phys. 54 93 (2009)
  162. Plunian F, Stepanov R, Frick P Phys. Rep. 523 1 (2013)
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