Issues

 / 

2015

 / 

February

  

Reviews of topical problems


Discontinuous plasma flows in magnetohydrodynamics and in the physics of magnetic reconnection

,
Lomonosov Moscow State University, Shternberg State Astronomical Institute, Universitetskii prosp. 13, Moscow, 119889, Russian Federation

This paper reviews the current status of the theory of discontinuous magnetohydrodynamic (MHD) flows and its application to the physics of magnetic reconnection in astrophysical plasmas and in laboratory and numerical simulation studies. The emphasis is on the study of continuous transitions occurring between different types of discontinuities as the plasma flow parameters are gradually and continuously varied. The properties of the Syrovatskii reconnecting current layer are described and the possibility of the splitting of the current layer into a system of MHD discontinuities is demonstrated. A simplified analytical model of magnetic reconnection is used to examine the system of shock waves associated with the current layer. With this system as an example, some implications of the conditions of continuous transitions and the possibility of additional plasma heating by a shock wave are considered.

Fulltext pdf (804 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201502a.0113
Keywords: magnetic reconnection, plasma, MHD discontinuous
PACS: 52.35.−g, 94.30.cq, 94.30.ct (all)
DOI: 10.3367/UFNe.0185.201502a.0113
URL: https://ufn.ru/en/articles/2015/2/a/
000353946800001
2-s2.0-84928995901
2015PhyU...58..107L
Citation: Ledentsov L S, Somov B V "Discontinuous plasma flows in magnetohydrodynamics and in the physics of magnetic reconnection" Phys. Usp. 58 107–133 (2015)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 1st, June 2014, revised: 15th, July 2014, 5th, August 2014

Оригинал: Леденцов Л С, Сомов Б В «Разрывные течения плазмы в магнитной гидродинамике и физике магнитного пересоединения» УФН 185 113–142 (2015); DOI: 10.3367/UFNr.0185.201502a.0113

References (96) ↓ Cited by (13) Similar articles (20)

  1. Alfvén H Cosmic Electrodynamics (Oxford: Clarendon Press, 1950)
  2. De Hoffmann F, Teller E Phys. Rev. 80 692 (1950)
  3. Landau L D, Lifshits E M Gidrodinamika (M.: Nauka, 1986); Landau L D, Lifshitz E M Fluid Mechanics (Oxford: Pergamon Press, 1987)
  4. Syrovatskii S I Usp. Fiz. Nauk 62 247 (1957)
  5. Polovin R V Usp. Fiz. Nauk 72 33 (1960); Polovin R V Sov. Phys. Usp. 3 677 (1961)
  6. Anderson J E Magnetohydrodynamic Shock Waves (Cambridge, Mass.: M.I.T. Press, 1963)
  7. Syrovatskii S I Trudy FIAN SSSR 8 13 (1956)
  8. Somov B V Kosmicheskaya Elektrodinamika i Fizika Solntsa (M.: Izd-vo Moskovskogo un-ta, 1993)
  9. Ledentsov L S, Somov B V Zh. Eksp. Teor. Fiz. 144 1319 (2013); Ledentsov L S, Somov B V JETP 117 1164 (2013)
  10. Sutton G W, Sherman A Engineering Magnetohydrodynamics (New York: McGraw-Hill, 1965)
  11. Luk’yanov S Yu Goryachaya Plazma i Upravlyaemyi Yadernyi Sintez (M.: Nauka, 1975)
  12. Morozov A I Vvedenie v Plazmodinamiku (M.: Fizmatlit, 2006)
  13. Biskamp D Nonlinear Magnetohydrodynamics (Cambridge, UK: Cambridge Univ. Press, 1997)
  14. Imshennik V S, Bobrova N A Dinamika Stolknovitel’noi Plazmy (M.: Energoatomizdat, 1997)
  15. Büchner J, Dum C T, Scholer M (Eds) Space Plasma Simulation (Berlin: Springer, 2003)
  16. Giovanelli R G Nature 158 81 (1946)
  17. Dungey J W Cosmic Electrodynamics (Cambridge: Univ. Press, 1958)
  18. Orta J A, Huerta M A, Boynton G C Astrophys. J. 596 646 (2003)
  19. Sweet P A Electromagnetic Phenomena In Cosmical Physics (Proc. IAU Symp., No. 6, Ed. B Lehnert) (Cambridge: Cambridge Univ. Press, 1958) p. 123
  20. Parker E N Phys. Rev. 107 830 (1957)
  21. 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
  22. Hones E W (Jr., Ed.) Magnetic Reconnection In Space And Laboratory Plasmas (Washington, D.C.: American Geophys. Union, 1984)
  23. Hoshino M, Stenzel R L, Shibata K (Eds) Magnetic Reconnection In Space And Laboratory Plasmas (Tokyo: Terra Scientific Publ. Co., 2001)
  24. Syrovatskii S I Astron. Zhurn. 39 987 (1962); Syrovatskii S I Sov. Astron. 6 768 (1963)
  25. Syrovatskii S I Astron. Zhurn. 43 340 (1966); Syrovatskii S I Sov. Astron. 10 270 (1966)
  26. Syrovatskii S I Zh. Eksp. Teor. Fiz. 60 1727 (1971); Syrovatskii S I Sov. Phys. JETP 33 933 (1971)
  27. Syrovatskii S I Trudy FIAN SSSR 74 3 (1974); Syrovatskii S I Proc. P.N. Lebedev Phys. Inst. 74 2 (1976)
  28. Syrovatskii S I Annu. Rev. Astron. Astrophys. 19 163 (1981)
  29. Somov B V Physical Processes In Solar Flares (Dordrecht: Kluwer Acad. Publ., 1992)
  30. Somov B V Plasma Astrophysics Pt. II Reconnection And Flares 2nd ed. (New York: Springer, 2013)
  31. Švestka Z, Jackson B V, Machado M E (Eds) Eruptive Solar Flares, Proc. of Colloquium No. 133 of the Intern. Astronomical Union, Argentina, 2 - 6 August, 1991 (Berlin: Springer-Verlag, 1992)
  32. Hanslmeier A, Veronig A, Messerotti M (Eds) Solar Magnetic Phenomena, Proc. of the 3rd Summerschool and Workshop, Austria, August 25 - September 5, 2003 (Dordrecht: Springer, 2005)
  33. Hanslmeier A The Sun And Space Weather (Astrophysics and Space Science Library) Vol. 347 (Dordrecht: Springer, 2007)
  34. Kosugi T et al. Solar Phys. 136 17 (1991)
  35. Ogawara Y et al. Solar Phys. 136 1 (1991)
  36. Tsuneta S et al. Publ. Astron. Soc. Jpn. 44 L211 (1992)
  37. Tsuneta S Astrophys. J. 456 840 (1996)
  38. Masuda S et al. Nature 371 495 (1994)
  39. Petrosian V, Donaghy T Q, McTiernan J M Astrophys. J. 569 459 (2002)
  40. Yokoyama T et al. Astrophys. J. 546 L69 (2001)
  41. McKenzie D E, Hudson H S Astrophys. J. 519 L93 (1999)
  42. Shibata K et al. Astrophys. J. 451 L83 (1995)
  43. Ohyama M, Shibata K Astrophys. J. 499 934 (1998)
  44. Sui L, Holman G D, Dennis B R Astrophys. J. 612 546 (2004)
  45. Sui L, Holman G D Astrophys. J. 596 L251 (2003)
  46. Liu W et al. Astrophys. J. 676 704 (2008)
  47. Liu W, Chen Q, Petrosian V Astrophys. J. 767 168 (2013)
  48. Shimizu T, Ugai M Phys. Plasmas 10 921 (2003)
  49. Shimizu T, Kondoh K, Ugai M Proc. of the Intern. Scientific Conf. on Chromospheric and Coronal Magnetic Fields (ESA SP-596, Eds D E Innes, A Lagg, S K Solanki, 2005), CD-ROM, 25.1
  50. Ugai M, Kondoh K, Shimizu T Phys. Plasmas 12 042903 (2005)
  51. Ugai M Phys. Plasmas 15 082306 (2008)
  52. Zenitani S, Miyoshi T Phys. Plasmas 18 022105 (2011)
  53. Lax P D Commun. Pure Appl. Math. 10 537 (1957)
  54. Bezrodnykh S I, Vlasov V I, Somov B V Pis’ma Astron. Zhurn. 33 153 (2007); Bezrodnykh S I, Vlasov V I, Somov B V Astron. Lett. 33 130 (2007)
  55. Bezrodnykh S I, Vlasov V I, Somov B V Pis’ma Astron. Zhurn. 37 133 (2011); Bezrodnykh S I, Vlasov V I, Somov B V Astron. Lett. 37 113 (2011)
  56. Markovskii S A, Somov B V Fizika Solnechnoi Plazmy (Otv. red. B V Somov, V V Fomichev) (M.: Nauka, 1989) p. 45
  57. Markovskii S A, Somov B V Zh. Eksp. Teor. Fiz. 104 2736 (1993); Markovskii S A, Somov B V JETP 77 253 (1993)
  58. Markovskii S A, Somov B V J. Plasma Phys. 55 303 (1996)
  59. Brushlinskii K V, Zaborov A M, Syrovatskii S I Fizika Plazmy 6 297 (1980); Brushlinskii K V, Zaborov A M, Syrovatskii S I Sov. J. Plasma Phys. 6 165 (1980)
  60. Biskamp D Phys. Fluids 29 1520 (1986)
  61. Yokoyama T, Shibata K Astrophys. J. 474 L61 (1997)
  62. Chen P F et al. Astrophys. J. 513 516 (1999)
  63. Kondoh K, Ugai M, Shimizu T Proc. of the Intern. Scientific Conf. on Chromospheric and Coronal Magnetic Fields (ESA SP-596, Eds D E Innes, A Lagg, S K Solanki, 2005), CD-ROM, 72.1
  64. Tidman D A, Krall N A Shock Waves In Collisionless Plasmas (New York: Wiley-Interscience, 1971)
  65. Sirotina E P, Syrovatskii S I Zh. Eksp. Teor. Fiz. 39 746 (1960); Sirotina E P, Syrovatskii S I Sov. Phys. JETP 12 521 (1961)
  66. Zel’dovich Ya B, Raizer Yu P Fizika Udarnykh Voln i Vysokotemperaturnykh Gidrodinamicheskikh Yavlenii (M.: Nauka, 1966); Zel’dovich Ya B, Raizer Yu P Physics Of Shock Waves And High-Temperature Hydrodynamic Phenomena (New York: Academic Press, 1966 - 1967)
  67. Shercliff J A A Textbook Of Magnetohydrodynamics (Oxford: Pergamon Press, 1965); Sherklif Dzh Kurs Magnitnoi Gidrodinamiki (M.: Mir, 1967)
  68. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982); Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  69. Somov B V Plasma Astrophysics Pt. I Fundamental And Practice 2nd ed. (New York: Springer, 2013)
  70. Ledentsov L S, Somov B V Pis’ma Astron. Zhurn. 37 151 (2011); Ledentsov L S, Somov B V Astron. Lett. 37 131 (2011)
  71. Ledentsov L S, Somov B V Pis’ma Astron. Zhurn. 38 831 (2012); Ledentsov L S, Somov B V Astron. Lett. 37 744 (2012)
  72. Somov B V Fundamentals Of Cosmic Electrodynamics (Dordrecht: Kluwer Acad. Publ., 1994)
  73. Akhiezer A I, Lyubarskii G Ya, Polovin R V Zh. Eksp. Teor. Fiz. 35 731 (1958); Akhiezer A I, Lyubarskii G Ya, Polovin R V Sov. Phys. JETP 8 507 (1959)
  74. Syrovatskii S I Zh. Eksp. Teor. Fiz. 35 1466 (1958); Syrovatskii S I Sov. Phys. JETP 8 1024 (1959)
  75. Roikhvarger Z B, Syrovatskii S I Zh. Eksp. Teor. Fiz. 66 1338 (1974); Roikhvarger Z B, Syrovatskii S I Sov. Phys. JETP 39 654 (1974)
  76. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1976); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pegramon Press, 1980)
  77. Priest E R Solar Magneto-hydrodynamics (Dordrecht: D. Reidel Publ. Co., 1982)
  78. Priest E, Forbes T Magnetic Reconnection: MHD Theory And Applications (Cambridge: Cambridge Univ. Press, 2000)
  79. Kulsrud R M Earth Planets Space 53 417 (2001)
  80. Malyshkin L M, Linde T, Kulsrud R M Phys. Plasmas 12 102902 (2005)
  81. Somov B V, Syrovatskii S I Solar Phys. 75 237 (1982)
  82. Oreshina A V, Somov B V Astron. Astrophys. 331 1078 (1998)
  83. Lazarian A, Vishniac E T Magnetic Fields In The Universe II: From Laboratory And Stars To The Primordial Universe (Revista Mexicana de Astronomía y Astrofisicaû Ser. de Conferencias) Vol. 36 (Eds A Esquivel et al.) (Mexico: Instituto de Astronomía, 2009) p. 81
  84. Eyink G L, Lazarian A, Vishniac E T Astrophys. J. 743 51 (2011)
  85. Somov B V, Syrovatskii S I Trudy FIAN SSSR 74 14 (1974); Somov B V, Syrovatskii S I Proc. P.N. Lebedev Phys. Inst. 74 13 (1976)
  86. Podgornyi A I, Syrovatskii S I Fizika Plazmy 7 1055 (1981); Podgornyi A I, Syrovatskii S I Sov. J. Plasma Phys. 7 580 (1981)
  87. Karpen J T et al. Astrophys. J. 495 491 (1998)
  88. Priest E R, Lee L C J. Plasma Phys. 44 337 (1990)
  89. Kontorovich V M Zh. Eksp. Teor. Fiz. 35 1216 (1958); Kontorovich V M Sov. Phys. JETP 8 851 (1958)
  90. Anderson J E Magnetohydrodynamic Shock Wawes (Cambridge: M.I.T. Press, 1963)
  91. Furth H P, Killeen J, Rosenbluth M N Phys. Fluids 6 459 (1963)
  92. Somov B V, Verneta A I Space Sci. Rev. 65 253 (1993)
  93. Somov B V, Syrovatskii S I Zh. Eksp. Teor. Fiz. 61 1864 (1971); Somov B V, Syrovatskii S I Sov. Phys. JETP 34 992 (1972)
  94. Todd L J. Fluid Mech. 21 193 (1965)
  95. Markovskii S A, Skorokhodov S L J. Geophys. Res. 105 (A6) 12705 (2000)
  96. Shibata K Astrophys. Space Sci. 264 129 (1998)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions