Issues

 / 

2025

 / 

August

  

On the 100th anniversary of Sergei Ivanovich Syrovatskii's birth. Conferences and symposia


Current sheets in plasma: from theory to experiment

 
Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation

The main stages of experimental studies of the dynamics and evolution of current sheets formed in plasma in strong nonuniform magnetic fields are reviewed. These studies were initiated by Sergei Ivanovich Syrovatskii, who made an outstanding contribution to the creation of the MHD theory of current sheets. The experiments were developed in close interaction with the theory and under the influence of theoretical ideas and concepts. It was found that, in high-conductivity plasma, the formation of a current sheet leads to a concentration of magnetic energy, while during explosive destruction of the sheet, the magnetic energy is converted into the energy of plasma and accelerated electrons. It is shown that in many cases the rupture of the sheet is triggered by a rapid local increase in the plasma temperature and a violation of the transverse equilibrium within the current sheet. It has been proven that current sheets can develop in 3D magnetic configurations, and the range of such configurations has been determined. Reverse currents are found to play an important role in limiting the duration of plasma flows accelerated in current sheets.

Fulltext pdf (4.2 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2025.03.039938
Keywords: current sheets, magnetic reconnection, solar flares, MHD theory, laboratory experiments, plasma dynamics, 3D’magnetic configurations
PACS: 52.35.Vd, 52.40.Kh, 94.05.−a (all)
DOI: 10.3367/UFNe.2025.03.039938
URL: https://ufn.ru/en/articles/2025/8/f/
2025PhyU...68..823F
Citation: Frank A G "Current sheets in plasma: from theory to experiment" Phys. Usp. 68 823–842 (2025)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 30th, June 2025, 5th, March 2025

Îðèãèíàë: Ôðàíê À Ã «Òîêîâûå ñëîè â ïëàçìå — îò òåîðèè ê ýêñïåðèìåíòó» ÓÔÍ 195 875–895 (2025); DOI: 10.3367/UFNr.2025.03.039938

References (141) ↓ Cited by (1) Similar articles (10)

  1. Giovanelli R G Mon. Not. R. Astron. Soc. 108 163 (1948)
  2. Dungey J W Philos. Mag. 44 725 (1953)
  3. Sweet P A Nuovo Cimento Suppl. 8 (Suppl. 2) 188 (1958)
  4. Parker E N Astrophys. J. Suppl. 8 177 (1963)
  5. Petschek H E The Physics of Solar Flares. Proc. of the AAS-NASA Symp. 28-30 October, 1963, Greenbelt, MD (Ed. W N Hess) (Washington, DC: National Aeronautics and Space Administration, Science and Technical Information Division, 1964) p. 425
  6. Syrovatskii S I Sov. Astron. 10 270 (1966); Syrovatskii S I Astron. Zh. 43 340 (1966)
  7. Syrovatskii S I Sov. Phys. JETP 23 754 (1966); Syrovatskii S I Zh. Eksp. Teor. Fiz. 50 1133 (1966)
  8. Imshennik V S, Syrovatskii S I Sov. Phys. JETP 25 656 (1967); Imshennik V S, Syrovatskii S I Zh. Eksp. Teor. Fiz. 52 990 (1967)
  9. Syrovatskii S I Sov. Phys. JETP 27 763 (1968); Syrovatskii S I Zh. Eksp. Teor. Fiz. 54 1422 (1968)
  10. Syrovatskii S I Sov. Phys. JETP 33 933 (1971); Syrovatskii S I Zh. Eksp. Teor. Fiz. 60 1727 (1971)
  11. Gerlach N I, Syrovatskii S I Neutral Current Sheets In Plasmas (Proc. (Trudy) of the P.N. Lebedev Phys. Inst.) Vol. 74 (Ed. N G Basov) (New York: Consultants Bureau, 1976) p. 73; Translated from Russian, Gerlach N I, Syrovatskii S I Neitral’nye Tokovye Sloi V Plazme (Tr. Fiz. Inst. Akad. Nauk SSSR) Vol. 74 (Ed. N G Basov) (Moscow: Nauka, 1974) p. 73
  12. Syrovatskii S I Neutral Current Sheets In Plasmas (Proc. (Trudy) of the P.N. Lebedev Phys. Inst.) Vol. 74 (Ed. N G Basov) (New York: Consultants Bureau, 1976) p. 1; Translated from Russian, Syrovatskii S I Neutral Current Sheets In Plasmas (Neitral’nye Tokovye Sloi v Plazme) Vol. 74 (Ed. N G Basov) (Moscow: Nauka, 1974) p. 3
  13. Somov B V, Syrovatskii S I, in Neutral Current Sheets In Plasmas (Proc. (Trudy) of the P.N. Lebedev Phys. Inst.) Vol. 74 (Ed. N G Basov) (New York: Consultants Bureau, 1976) p. 13; Translated from Russian, Somov B V, Syrovatskii S I Neitral’nye Tokovye Sloi V Plazme (Tr. Fiz. Inst. Akad. Nauk SSSR) Vol. 74 (Ed. N G Basov) (Moscow: Nauka, 1974) p. 14
  14. Bratenahl A, Yeates C M Phys. Fluids 13 2696 (1970)
  15. Ohhyabu N, Kawashima N J. Phys. Soc. Jpn. 33 496 (1972)
  16. Syrovatskii S I, Frank A G, Khodzhaev A Z Proc. of the 4th European Conf. on Controlled Fusion, Rome, 1970 p. 66
  17. Syrovatskii S I, Frank A G, Khodzhaev A Z Sov. Phys. Tech. Phys. 18 580 (1973); Syrovatskii S I, Frank A G, Khodzhaev A Z Zh. Tekh. Fiz. 43 912 (1973)
  18. Frank A G Neutral Current Sheets In Plasmas (Proc. (Trudy) of the P.N. Lebedev Phys. Inst.) Vol. 74 (Ed. N G Basov) (New York: Consultants Bureau, 1976) p. 107; Translated from Russian, Frank A G Neitral’nye Tokovye Sloi V Plazme (Tr. Fiz. Inst. Akad. Nauk SSSR) Vol. 74 (Ed. N G Basov) (Moscow: Nauka, 1974) p. 108
  19. Demidov B A, Elagin N I, Fanchenko S D Sov. Phys. Dokl. 12 467 (1967); Demidov B A, Elagin N I, Fanchenko S D Dokl. Akad. Nauk SSSR 174 327 (1967)
  20. Hamberger S M, Friedman M Phys. Rev. Lett. 21 674 (1968)
  21. Friedman M, Hamberger S M Solar Phys. 8 104 (1969)
  22. Syrovatskii S I, Frank A G, Khodzhaev A Z JETP Lett. 15 94 (1972); Syrovatskii S I, Frank A G, Khodzhaev A Z Pis’ma Zh. Eksp. Teor. Fiz. 15 138 (1972)
  23. Stenzel R L, Gekelman W J. Geophys. Res. 86 649 (1981)
  24. Biskamp D Phys. Fluids 29 1520 (1986)
  25. Furth H P, Killen J, Rosenbluth M N Phys. Fluids 6 459 (1963)
  26. Laval G, Pellat R, Vuillemin M Plasma Physics and Controlled Nuclear Fusion Research. Proc. of a Conf., September 6-10, 1965 Vol. 2 (Vienna: Intern. Atomic Energy Agency, 1966) p. 259
  27. Kirii N P, Markov V S, Syrovatskii S I, Frank A G, Khodzhaev A Z Vspyshechnye Protsessy V Plazme (Flare Processes In Plasma, Tr. Fiz. Inst. Akad. Nauk SSSR) Vol. 110 (Ed. V L Ginzburg) (Moscow: Nauka, 1979) p. 121
  28. Bogdanov S Yu et al Izv. Akad. Nauk SSSR Ser. Fiz. 44 2469 (1980)
  29. Bogdanov S Yu et al Sov. J. Plasma Phys. 1 73 (1975); Bogdanov S Yu et al Fiz. Plazmy 1 133 (1975)
  30. Dreiden G V et al Sov. Tech. Phys. Lett. 1 68 (1975); Dreiden G V et al Pis’ma Zh. Tekh. Fiz. 1 141 (1975)
  31. Dreiden G V et al Sov. J. Plasma Phys. 3 26 (1977); Dreiden G V et al Fiz. Plazmy 3 45 (1977)
  32. Ostrovsky Yu I, Butusov M M, Ostrovskaya G V Interferometry By Holography (Springer Series in Optical Sciences) Vol. 20 (Berlin: Springer-Verlag, 1980); Translated from Russian, Ostrovsky Yu I, Butusov M M, Ostrovskaya G V Golograficheskaya Intereferometriya (Moscow: Nauka, 1977)
  33. Syrovatskii S I Bull. USSR Acad. Sci. Phys. Ser. 43 (4) 17 (1980); Syrovatskii S I Izv. Akad. Nauk SSSR Ser. Fiz. 43 695 (1979)
  34. Syrovatskii S I Bull. USSR Acad. Sci. Phys. Ser. 39 (2) 96 (1975); Syrovatskii S I Izv. Akad. Nauk SSSR Ser. Fiz. 39 359 (1975)
  35. Syrovatskii S I Vspyshechnye Protsessy V Plazme (Flare Processes In Plasma, Trudy Fiz. Inst. Akad. Nauk SSSR) Vol. 110 (Ed. V L Ginzburg) (Moscow: Nauka, 1979) p. 5
  36. Bulanov S V, Sasorov P V, Syrovatskii S I JETP Lett. 26 565 (1977); Bulanov S V, Sasorov P V, Syrovatskii S I Pis’ma Zh. Eksp. Teor. Fiz. 26 729 (1977)
  37. Bulanov S V, Sasorov P V JETP Lett. 27 521 (1978); Bulanov S V, Sasorov P V Pis’ma Zh. Eksp. Teor. Fiz. 27 554 (1978)
  38. Bulanov S V, Sakai J I, Syrovatskii S I JETP Lett. 28 177 (1978); Bulanov S V, Sakai J I, Syrovatskii S I Pis’ma Zh. Eksp. Teor. Fiz. 28 193 (1978)
  39. Kirii N P et al Sov. J. Plasma Phys. 3 303 (1977); Kirii N P et al Fiz. Plazmy 3 538 (1977)
  40. Frank A G Plasma Physics And Plasma Electronics (Ed. L M Kovrizhnykh) (Commack, NY: Nova Science Publ., 1989) p. 131; Translated from Russian, Frank A G Voprosy Fiziki Plazmy I Plazmennoi Elektroniki (Problems Of Plasma Physics And Plasma Electronics, Tr. Fiz. Inst. Akad. Nauk SSSR) Vol. 160 (Ed. L M Kovrizhnykh) (Moscow: Nauka, 1985) p. 93
  41. Bogdanov S Yu et al J. Phys. Colloq. 40 C7-221 (1979)
  42. Bogdanov S Yu, Frank A G, Markov V S Proc. of the XV Intern. Conf. on Phenomena in Ionized Gases, ICPIG-15, Minsk, 1981, Pt. 1 (Minsk, 1981) p. 0504
  43. Bogdanov S Yu, Markov V S, Frank A G JETP Lett. 35 290 (1982); Bogdanov S Yu, Markov V S, Frank A G Pis’ma Zh. Eksp. Teor. Fiz. 35 232 (1982)
  44. Bogdanov S Yu et al Phys. Scr. 30 282 (1984)
  45. Dreiden G V et al Sov. J. Plasma Phys. 4 6 (1978); Dreiden G V et al Fiz. Plazmy 4 14 (1978)
  46. Dreiden G V et al Sov. Phys. Tech. Phys. 26 1072 (1981); Dreiden G V et al Zh. Tekh. Fiz. 51 1850 (1981)
  47. Bogdanov S Yu et al Sov. J. Plasma Phys. 18 659 (1992); Bogdanov S Yu et al Fiz. Plazmy 18 1269 (1992)
  48. Altyntsev A T et al Sov. J. Plasma Phys. 4 8 (1978); Altyntsev A T et al Fiz. Plazmy 4 18 (1978)
  49. Altyntsev A T, Krasov V I Sov. Phys. Tech. Phys. 22 25 (1977); Altyntsev A T, Krasov V I Zh. Tekh. Fiz. 47 (1) 44 (1977)
  50. Bulanov S V, Sasorov P V Sov. Astron. 19 464 (1976); Bulanov S V, Sasorov P V Astron. Zh. 52 763 (1975)
  51. Bogdanov S Yu, Markov V S, Frank A G JETP Lett. 51 638 (1990); Bogdanov S Yu, Markov V S, Frank A G Pis’ma Zh. Eksp. Teor. Fiz. 51 563 (1990)
  52. Švestka Z Solar Flares (Geophysics and Astrophysics Monographs) (Dordrecht: D. Reidel, 1976)
  53. Syrovatskii S I Vestn. Akad. Nauk SSSR (10) 33 (1977)
  54. Frank A G et al Proc. XVII Intern. Conf. on Phenomena in Ionized Gases, ICPIG-17, Budapest, 8-12 July 1985 Vol. 1 (Eds J S Bakos, Z Sörlei) (Budapest: Koezponti Fizikai Kutato Intezet, 1985) p. 102
  55. Frank A G et al Analytical Methods For Optical Tomography (Proc. SPIE) Vol. 1843 (Ed. G G Levin) (Bellingham, WA: SPIE, 1991) p. 19
  56. Velikanova L G et al Sov. J. Plasma Phys. 18 803 (1992); Velikanova L G et al Fiz. Plazmy 18 1545 (1992)
  57. Kirii N P, Markov V S, Frank A G JETP Lett. 48 459 (1988); Kirii N P, Markov V S, Frank A G Pis’ma Zh. Eksp. Teor. Fiz. 48 419 (1988)
  58. Kirii N P, Markov V S, Frank A G JETP Lett. 56 82 (1992); Kirii N P, Markov V S, Frank A G Pis’ma Zh. Eksp. Teor. Fiz. 56 82 (1992)
  59. Beigman I L et al J. Appl. Spectrosc. 54 761 (1991); Beigman I L et al Zh. Prikl. Spektroskop. 54 1021 (1991)
  60. Bogdanov S Yu, Kirii N P, Frank A G Magnitnoe Peresoedinenie V Dvumernykh I Trekhmernykh Konfiguratsiyakh (Magnetic Reconnection In 2D And 3D Configurations, Tr. Inst. Obshchei Fiziki Ross. Akad. Nauk) Vol. 51 (Ed. L M Kovrizhnykh) (Moscow: Nauka, 1996) p. 3
  61. Frank A G et al Contrib. Plasma Phys. 36 667 (1996)
  62. Bogdanov S Yu et al Sov. J. Plasma Phys. 18 667 (1992); Bogdanov S Yu et al Fiz. Plazmy 18 1283 (1992)
  63. Syrovatskii S I Sov. Astron. Lett. 2 13 (1976); Syrovatskii S I Pis’ma Astron. Zh. 2 35 (1976)
  64. Syrovatskii S I Priroda (2) 143 (1978)
  65. Sedov L I Similarity And Dimensional Methods In Mechanics (Moscow: Mir Publ., 1982); Translated from Russian, Sedov L I Metody Podobiya I Razmernosti V Mekhanike (Moscow: Nauka, 1967)
  66. Alfvén H, Fälthammar C-G Cosmical Electrodynamics (Oxford: Oxford Univ. Press, 1963); Translated into Russian, Alfvén H, Fälthammar C-G Kosmicheskaya Elektrodinamika (Moscow: Mir Publ., 1967)
  67. Schindler K The Magnetosphere: Magnetospheric Physics. Proc. Of A Symp., Washington, DC, 3-13 September 1968 (Eds D J Williams, G D Mead) (Washington, DC: American Geophysical Union, 1969); Translated into Russian, Schindler K Fizika Magnitosfery (Eds D J Williams, G D Mead) (Moscow: Mir, 1972) p. 69
  68. Baranov V B Cosmic Res. 7 98 (1969); Baranov V B Kosm. Issled. 7 109 (1969)
  69. Podgornyi I M, Sagdeev R Z Sov. Phys. Usp. 12 445 (1970); Podgornyi I M, Sagdeev R Z Usp. Fiz. Nauk 98 409 (1969)
  70. Bulanov S V, Dogiel V A, Frank A G Phys. Scr. 29 66 (1984)
  71. Bulanov S V, Dogel V A, Frank A G Sov. Astron. Lett. 10 59 (1984); Bulanov S V, Dogel V A, Frank A G Pis’ma Astron. Zh. 10 149 (1984)
  72. Sturrock P A (Ed.) Solar Flares: A Monograph From Skylab Solar Workshop II, Boulder, 1976-1977 (Boulder, CO: Colorado Associated Univ. Press, 1980)
  73. Syrovatskii S I Vestn. Akad. Nauk SSSR (3) 31 (1973)
  74. Syrovatskii S I Izv. Akad. Nauk SSSR Ser. Fiz. 41 1782 (1977)
  75. Kadomtsev B B Usp. Fiz. Nauk 151 3 (1987); Kadomtsev B B Rep. Prog. Phys. 50 115 (1987)
  76. Syrovatskii S I Annu. Rev. Astron. Astrophys. 19 163 (1981)
  77. Rosenau P Phys. Fluids 22 849 (1979)
  78. Bulanov S V, Olshanetskii M A Sov. J. Plasma Phys. 11 425 (1985); Bulanov S V, Olshanetskii M A Fiz. Plazmy 11 727 (1985)
  79. Lau Y-T, Finn J M Astrophys. J. 350 672 (1990)
  80. Green J M Phys. Fluids B 5 2355 (1993)
  81. Bulanov S V, Frank A G Sov. J. Plasma Phys. 18 795 (1992); Bulanov S V, Frank A G Fiz. Plazmy 18 1535 (1992)
  82. Bogdanov S Yu et al JETP Lett. 59 537 (1994); Bogdanov S Yu et al Pis’ma Zh. Eksp. Teor. Fiz. 59 510 (1994)
  83. Frank A G, Bogdanov S Yu, Burilina V B Bull. Russ. Acad. Sci. Phys. 59 1331 (1995); Frank A G, Bogdanov S Yu, Burilina V B Izv. Ross. Akad. Nauk Ser. Fiz. 59 (8) 41 (1995)
  84. Bogdanov S Yu, Frank A G, Kyrie N P, in Advances in Solar Physics: Proc. of the Seventh European Meeting on Solar Physics, Catania, Italy, 11-15 May 1993 (Lecture Notes in Physics) Vol. 432 (Eds G Belvedere, M Rodonò, G M Simnett) (Berlin: Springer-Verlag, 1994) p. 231
  85. Frank A G Plasma Phys. Control. Fusion 687 (1999)
  86. Frank A G, Bogdanov S Yu Earth Planets Space 53 531 (2001)
  87. Bogdanov S Yu et al JETP Lett. 71 53 (2000); Bogdanov S Yu et al Pis’ma Zh. Eksp. Teor. Fiz. 71 78 (2000)
  88. Bogdanov S Yu et al Plasma Phys. Rep. 28 549 (2002); Bogdanov S Yu et al Fiz. Plazmy 28 594 (2002)
  89. Frank A G et al, in Plasmas In The Laboratory And In The Universe: New Insights And New Challenges (AIP Conf. Proc.) Vol. 703 (Eds G Bertin, D Farina, R Pozzoli) (Melville, NY: AIP, 2004) p. 431
  90. Frank A G et al Phys. Plasmas 12 052316 (2005)
  91. Frank A G Phys. Usp. 53 941 (2010); Frank A G Usp. Fiz. Nauk 180 982 (2010)
  92. Frank A G Plasma Phys. Rep. 48 574 (2022)
  93. Bogdanov S Yu et al Plasma Phys. Rep. 33 435 (2007); Bogdanov S Yu et al Fiz. Plazmy 33 483 (2007)
  94. Bogdanov S Yu et al Plasma Phys. Rep. 32 1034 (2006); Bogdanov S Yu et al Fiz. Plazmy 32 1121 (2006)
  95. Frank A, Bugrov S, Markov V Phys. Lett. A 373 1460 (2009)
  96. Frank A G, Satunin S N Plasma Phys. Rep. 44 190 (2018); Frank A G, Satunin S N Fiz. Plazmy 44 144 (2018)
  97. Frank A G et al Phys. Lett. A 348 318 (2006)
  98. Bogdanov S Yu et al Plasma Phys. Rep. 33 930 (2007); Bogdanov S Yu et al Fiz. Plazmy 33 1014 (2007)
  99. Ostrovskaya G V, Frank A G Plasma Phys. Rep. 40 21 (2014); Ostrovskaya G V, Frank A G Fiz. Plazmy 40 24 (2014)
  100. Frank A G, Satunin S N JETP Lett. 100 75 (2014); Frank A G, Satunin S N Pis’ma Zh. Eksp. Teor. Fiz. 100 83 (2014)
  101. Frank A G, Bugrov S G, Markov V S Phys. Plasmas 15 092102 (2008)
  102. Frank A G et al Cosmic Res. 55 46 (2017); Frank A G et al Kosm. Issled. 55 48 (2017)
  103. Yushkov E V et al Plasma Phys. Rep. 44 1126 (2018); Yushkov E V et al Fiz. Plazmy 44 983 (2018)
  104. Frank A G, Satunin S N Bull. Lebedev Phys. Inst. 47 (2) 54 (2020); Frank A G, Satunin S N Kratk. Soobshch. Fiz. FIAN 47 (2) 28 (2020)
  105. Frank A G et al Opticheskie Svoistva Nizkotemperaturnoi Plazmy (Optical Properties Of Low-Temperature Plasma, Encyclopedia of Low-Temperature Plasma, Ser.s B, Vol. 3-2, Pt. 1, Ed. V N Ochkin) (Moscow: Yanus-K, 2008) p. 335
  106. Kyrie N P, Markov V S, Frank A G Plasma Phys. Rep. 36 357 (2010); Kyrie N P, Markov V S, Frank A G Fiz. Plazmy 36 387 (2010)
  107. Kyrie N P, Markov V S, Frank A G JETP Lett. 95 14 (2012); Kyrie N P, Markov V S, Frank A G Pis’ma Zh. Eksp. Teor. Fiz. 95 17 (2012)
  108. Kyrie N P, Frank A G Plasma Phys. Rep. 38 960 (2012); Kyrie N P, Frank A G Fiz. Plazmy 38 1042 (2012)
  109. Bogdanov S Yu, Frank A G, Markov V S Proc. XVII Intern. Conf. on Phenomena in Ionized Gases, ICPIG-17, Budapest, 8-12 July 1985 Vol. 1 (Eds J S Bakos, Z Sörlei) (Budapest: Koezponti Fizikai Kutato Intezet, 1985) p. 67
  110. Frank A G, Satunin S N Plasma Phys. Rep. 37 829 (2011); Frank A G, Satunin S N Fiz. Plazmy 37 889 (2011)
  111. Frank A G, Kyrie N P, Satunin S N Phys. Plasmas 18 111209 (2011)
  112. Frank A G Proc. European Conf. On Plasma Astrophysics (EAS Publ. Ser.) Vol. 58 (Eds C Stehlé, C Joblin, L d’Hendecourt) (Geneva: European Astronomical Society, 2012) p. 57
  113. Frank A G, Kyrie N P Plasma Phys. Rep. 43 696 (2017); Translated from Russian, Frank A G, Kyrie N P Usp. Prikl. Fiz. 3 454 (2015)
  114. Frank A G et al Plasma Phys. Rep. 44 551 (2018); Frank A G et al Fiz. Plazmy 44 483 (2018)
  115. Frank A G, Satunin S N JETP Lett. 112 623 (2020); Frank A G, Satunin S N Zh. Eksp. Teor. Fiz. 112 667 (2020)
  116. Frank A et al Universe 7 (11) 400 (2021)
  117. Frank A G, Satunin S N Plasma Phys. Rep. 48 10 (2022); Frank A G, Satunin S N Fiz. Plazmy 48 12 (2022)
  118. Frank A G, Savinov S A Symmetry 16 (1) 103 (2024)
  119. Kyrie N P, Frank A G, Vasilkov D G Plasma Phys. Rep. 45 325 (2019); Kyrie N P, Frank A G, Vasilkov D G Fiz. Plazmy 45 313 (2019)
  120. Kyrie N P, Savinov S A Plasma Phys. Rep. 47 611 (2021)
  121. Baumjohann W, Paschmann G, Luehr H J. Geophys. Res. 95 3801 (1990)
  122. Angelopoulos V et al J. Geophys. Res. 97 4027 (1992)
  123. Shiokawa K, Baumjohann W, Haerendel G Geophys. Res. Lett. 24 1179 (1997)
  124. Birn J et al J. Geophys. Res. 104 19895 (1999)
  125. Liu J et al J. Geophys. Res. 119 909 (2014)
  126. Lu S et al J. Geophys. Res. 121 4269 (2016)
  127. Frank A G et al Plasma Phys. Control. Fusion 65 095006 (2023)
  128. Artemyev A V et al J. Geophys. Res. 118 2789 (2013)
  129. Zelenyi L M et al Plasma Phys. Control. Fusion 58 054002 (2016)
  130. Frank A G, Artemyev A V, Zelenyi L M J. Exp. Theor. Phys. 123 699 (2016); Frank A G, Artemyev A V, Zelenyi L M Zh. Eksp. Teor. Fiz. 150 807 (2016)
  131. Frank A G et al Astron. Rep. 68 406 (2024); Frank A G et al Astron. Zh. 101 366 (2024)
  132. Syrovatskii S I Usp. Fiz. Nauk 62 247 (1957)
  133. Ginzburg V L, Syrovatskii S I Sov. Phys. Usp. 3 504 (1961); Ginzburg V L, Syrovatskii S I Usp. Fiz. Nauk 71 411 (1961)
  134. Ginzburg V L, Syrovatskii S I Sov. Phys. Usp. 9 223 (1966); Ginzburg V L, Syrovatskii S I Usp. Fiz. Nauk 88 485 (1966)
  135. Ginzburg V L, Syrovatskii S I The Origin Of Cosmic Rays (Oxford: Pergamon Press, 1964); Translated from Russian, Ginzburg V L, Syrovatskii S I Proiskhozhdenie Kosmicheskikh Luchei (Moscow: Izd. AN SSSR, 1963)
  136. Somov B V, Syrovatskii S I Sov. Phys. Usp. 19 813 (1976); Somov B V, Syrovatskii S I Usp. Fiz. Nauk 120 217 (1976)
  137. Zelenyi L M et al Phys. Usp. 59 1057 (2016); Zelenyi L M et al Usp. Fiz. Nauk 186 1153 (2016)
  138. Zelenyi L M et al Phys. Usp. 68 (8) (2025); Zelenyi L M et al Usp. Fiz. Nauk 195 807 (2025)
  139. Yamada M, Kurlsrud R, Ji H Rev. Mod. Phys. 82 603 (2010)
  140. Koepke M E Rev. Geophys. 46 RG3001 (2008)
  141. Zweibel E G, Yamada M Annu. Rev. Astron. Astrophys. 47 291 (2009)

© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions