RSS feeds
РусскийEnglish
Issue 10, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1961

 / 

February

←  →

Reviews of topical problems


STABILITY OF PLASMA

 a, ,
a National Research Centre ‘Kurchatov Institute’, pl. Akademika Kurchatova 1, Moscow, 123182, Russian Federation

I. Introduction 332
1. Linear and Nonlinear Stability Theory 333
2. Oscillating and Aperiodic Instabilities 334
3. Methods of Describing a Plasma 334
II. Aperiodic Plasma Instability 336
4. Ideal Plasma 336
5. Aperiodic Plasma Instability with Account of Dissipation 346
III. Oscillating Plasma Instability 349
6. Instability of Beams in a Plasma 349
7. Microscopic Instability of "Nonmaxwellian" Plasma 352
8. Build-up of Oscillations in a Plasma in the Presence of Relative Motion of Ions and Electrons 355
9. Microscopic Instabilities of an Inhomogeneous Plasma 356
10. Stability of Plasma Flow in a Magnetic Field 357
11. "Oscillating Convection" in a Plasma 360
12. Instability of Positive Column of Gas Discharge in a Magnetic Field 360
IV. Problems in Nonlinear Stability Theory 361
13. Steady-State Convection in a Plasma and "Anomalous Diffusion" 361
14. Quasi Linear Approximation in the Analysis of Oscillating Instabilities in a Rarefied Plasma 363
15. Developed Instability 365
Appendices 366
Literature 368

Fulltext pdf (3.4 MB)
Fulltext is also available at DOI: 10.1070/PU1961v004n02ABEH003341
PACS: 52.35.Qz, 52.30.−q (all)
DOI: 10.1070/PU1961v004n02ABEH003341
URL: https://ufn.ru/en/articles/1961/2/l/
Citation: Vedenov A A, Velikhov E P, Sagdeev R Z "STABILITY OF PLASMA" Sov. Phys. Usp. 4 332–369 (1961)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Веденов А А, Велихов Е П, Сагдеев Р З «Устойчивость плазмы» УФН 73 701–766 (1961); DOI: 10.3367/UFNr.0073.196104h.0701

Cited by (163) ↓ Similar articles (20)

  1. Fiorillo Damiano F  G, Raffelt G G Phys. Rev. Lett. 137 (17) (2026)
  2. Issan O, Roytershteyn V et al Physics of Plasmas 33 (3) (2026)
  3. Ghorbanalilu M Physics of Plasmas 33 (1) (2026)
  4. Dhruv V, Sironi L et al ApJ 1008 (2) 210 (2026)
  5. Kontar E P, Azzollini F, Lyubchyk O ApJ 976 (2) 233 (2024)
  6. Brushlinskii K V, Kriuchenkov V V, Stepin E V Dokl. Math. 110 (2) 408 (2024)
  7. Brushlinskii K V, Kriuchenkov V V, Stepin E V Doklady Rossijskoj Akademii Nauk. Matematika, Informatika, Processy Upravleni?n 519 (1) 3 (2024)
  8. Brushlinskii K V, Kryuchenkov V V, Stepin E V Proc. Steklov Inst. Math. 322 (1) 52 (2023)
  9. Kukushkin A B, Kulichenko A A Foundations 3 (3) 602 (2023)
  10. Waheed A, Bashir M F et al JGR Space Physics 128 (4) (2023)
  11. Li T, Li W et al Geophysical Research Letters 50 (20) (2023)
  12. Brushlinskii K V, Kriuchenkov V V, Stepin E V ’nру’?ы ’a’?т’?’?’?т’?ch’?с’?’?’?’? ’?’?ст’?тут’? ’?’?’?’?’? ’E. ’B. ’lт’?’?’?’?’?’? 322 58 (2023)
  13. "Coherent structures from MHD to sub-ion scales in turbulent solar wind" Sorbonne université, (2023)
  14. Kamaletdinov S R, Vasko I Y et al Physics of Plasmas 29 (8) (2022)
  15. Belolutskiy F A, Kazieva T V et al Phys. Atom. Nuclei 85 (11) 1859 (2022)
  16. Marusov N A Discrete And Continuous Models 30 (4) 374 (2022)
  17. Verscharen D, Chandran B D G et al Front. Astron. Space Sci. 9 (2022)
  18. Chkheidze N Galaxies 10 (2) 59 (2022)
  19. Schlickeiser R, Yoon P H Physics of Plasmas 29 (9) (2022)
  20. Malkov M A, Sotnikov V I Physics of Plasmas 29 (8) (2022)
  21. Gladkov S O Tech. Phys. Lett. 48 (4) 199 (2022)
  22. Treumann R A, Baumjohann W Front. Astron. Space Sci. 8 (2021)
  23. Brushlinskii K V, Stepin E V Diff Equat 57 (7) 835 (2021)
  24. Shustin E G Plasma Phys. Rep. 47 (6) 536 (2021)
  25. Usman S, Mushtaq A ApJ 911 (1) 50 (2021)
  26. Artemyev A V, Angelopoulos V et al JGR Space Physics 125 (7) (2020)
  27. Southwood D J, Kivelson M G JGR Space Physics 125 (12) (2020)
  28. Malovichko P P, Kyzyurov Yu V Kinemat. Phys. Celest. Bodies 36 (3) 114 (2020)
  29. Malovichko P P, Kyzyurov Y V Kinemat. Fiz. Nebesnyh Tel (Online) 36 (3) 21 (2020)
  30. Lakhina G S, Singh S V, Rubia R Phys. Scr. 95 (10) 105601 (2020)
  31. Uchava E S, Tevzadze A G et al Physics of Plasmas 27 (11) (2020)
  32. White R B, Duarte V N et al Physics of Plasmas 26 (3) (2019)
  33. Khorashadizadeh S M, Rostami Sh A et al Monthly Notices of the Royal Astronomical Society 489 (3) 3059 (2019)
  34. Podest?i M, Bardóczi L ’? ’?р Nucl. Fusion 59 (10) 106013 (2019)
  35. Duarte V N, Gorelenkov N N et al Physics of Plasmas 26 (12) (2019)
  36. White R B, Duarte V N Physics of Plasmas 26 (4) (2019)
  37. Bakunin O G ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 188 (01) 55 (2018) [Bakunin O G Phys.-Usp. 61 (1) 52 (2018)]
  38. Meng G, Gorelenkov N N et al Nucl. Fusion 58 (8) 082017 (2018)
  39. Treumann R A, Baumjohann W Ann. Geophys. 36 (6) 1563 (2018)
  40. Gorelenkov N N, Duarte V N et al Nucl. Fusion 58 (8) 082016 (2018)
  41. Ryutov D D Physics of Plasmas 25 (10) (2018)
  42. Mrówczyński Stanisław Eur. Phys. J. A 54 (3) (2018)
  43. Lazar M, Yoon P H, Eliasson B Physics of Plasmas 24 (4) (2017)
  44. Duarte V N, Berk H L et al Nucl. Fusion 57 (5) 054001 (2017)
  45. Duarte V N, Berk H L et al Physics of Plasmas 24 (12) (2017)
  46. Yoon P H Rev. Mod. Plasma Phys. 1 (1) (2017)
  47. Vasko I Y, Agapitov O V et al JGR Space Physics 122 (3) 3163 (2017)
  48. Skovorodin D I, Beklemishev A D (AIP Conference Proceedings) Vol. 1771 (2016) p. 030028
  49. Dubinov A E, Petrik A G et al Physics of Plasmas 23 (4) (2016)
  50. Elizarova T G, Popov M V Comput. Math. And Math. Phys. 55 (8) 1330 (2015)
  51. Treumann R A, Baumjohann W Nonlin. Processes Geophys. 21 (1) 143 (2014)
  52. Balogh André, Treumann R A Physics of Collisionless Shocks Chapter 2 (2013) p. 7
  53. Bakunin O G ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 183 (11) 1237 (2013) [Bakunin O G Phys.-Usp. 56 (11) 1132 (2013)]
  54. Ukhorskiy A Y, Sitnov M I Space Sci Rev 179 (1-4) 545 (2013)
  55. Chkheidze N New Astronomy 17 (2) 227 (2012)
  56. Klykov I L, Tarakanov V P, Shustin E G Plasma Phys. Rep. 38 (3) 263 (2012)
  57. Ukhorskiy A Y, Sitnov M I The Van Allen Probes Mission Chapter 17 (2012) p. 545
  58. Chkheidze N A&A 527 A2 (2011)
  59. Chkheidze N, Machabeli G, Osmanov Z ApJ 730 (2) 62 (2011)
  60. Mrówczyński Stanisław, Müller Berndt Phys. Rev. D 81 (6) (2010)
  61. Yampolsky N A, Fisch N J Physics of Plasmas 16 (7) (2009)
  62. Mikhailovskii A B, Lominadze J G et al Plasma Phys. Rep. 35 (4) 273 (2009)
  63. Medvedev Yu V Plasma Phys. Control. Fusion 50 (2) 022001 (2008)
  64. Treumann R A Advances In Space Research 37 (8) 1482 (2006)
  65. Bilato R, Brambilla M Plasma Phys. Control. Fusion 46 (9) 1455 (2004)
  66. Kuznetsov E A J. Exp. Theor. Phys. 93 (5) 1052 (2001)
  67. Hanasz M, Sol H, Sauty C Monthly Notices of the Royal Astronomical Society 316 (3) 494 (2000)
  68. Barikhin B A, Kryshalovich Yu I Journal Of Engineering Physics And Thermophysics 73 (6) 1195 (2000)
  69. Ryutov D D Plasma Phys. Control. Fusion 41 (3A) A1 (1999)
  70. Kidera M, Lamoureux M et al Review of Scientific Instruments 70 (11) 4234 (1999)
  71. Berk H L, Breizman B N et al Physics of Plasmas 3 (5) 1827 (1996)
  72. Bruhwiler D L, Cary J R Phys. Rev. E 50 (5) 3949 (1994)
  73. Kotyusov A N Radiophys Quantum Electron 33 (11) 899 (1990)
  74. Berk H L, Breizman B N Physics of Fluids B: Plasma Physics 2 (9) 2226 (1990)
  75. Lesch H IEEE Trans. Plasma Sci. 17 (2) 252 (1989)
  76. Belova I V, Brushlinskii K V USSR Computational Mathematics And Mathematical Physics 28 (1) 47 (1988)
  77. Mishin E V, Treumann R A, Kapitanov V Ya J. Geophys. Res. 91 (A9) 10183 (1986)
  78. Berezovskii M A, Dyachenko A I et al Plasma Phys. Control. Fusion 26 (12B) 1477 (1984)
  79. Ginzburg V L, Ruhadze A A Encyclopedia Of Physics / Handbuch Der Physik Vol. Geophysik III??IVIIWaves and Resonances in Magneto-active Plasma10 / 49 / 4 Chapter 15 (1984) p. 920
  80. Srivastava K M, Sudhanshu, Singh R Plasma Phys. 25 (1) 57 (1983)
  81. Handbook on Plasma Instabilities (1982) p. 1309
  82. Cyclotron Waves in Plasma (1981) p. 195
  83. Bakai A S Physica D: Nonlinear Phenomena 2 (1) 52 (1981)
  84. Wilhelm H E, Hong S H Journal of Applied Physics 48 (2) 561 (1977)
  85. Ishii K, Ishizuka H et al J. Phys. Soc. Jpn. 43 (1) 357 (1977)
  86. Handbook on Plasma Instabilities (1976) p. 393
  87. Non-Linear Theory and Fluctuations (1975) p. 283
  88. Plasma Electrodynamics (1975) p. 393
  89. Gurevich A V, Pitaevsky L P Progress In Aerospace Sciences 16 (3) 227 (1975)
  90. Mikhailovskii A B Theory of Plasma Instabilities Chapter 7 (1974) p. 137
  91. Sasakura Yu J. Phys. Soc. Jpn. 37 (2) 482 (1974)
  92. Mikhailovskii A B Theory of Plasma Instabilities Chapter 12 (1974) p. 227
  93. Maksumov M N Galaxies and Relativistic Astrophysics Chapter 14 (1974) p. 120
  94. Gutkin T I, Tsypin V S, Boleslavskaya G I Nucl. Fusion 14 (3) 313 (1974)
  95. Mishin E V Astrophys Space Sci 27 (2) 367 (1974)
  96. Walsh J E, Conrad J R, Diaz C J The Physics of Fluids 16 (5) 716 (1973)
  97. Ecker Günter Theory of Fully Ionized Plasmas (1972) p. 91
  98. Koopman D W The Physics of Fluids 15 (11) 1959 (1972)
  99. Alikhanov S G, Kichigin G N, Konkasbaev I K Plasma Phys. 14 (6) 661 (1972)
  100. Das A C Cosmic Plasma Physics Chapter 5 (1972) p. 37
  101. Kurilko V I, Tolstoluzhskii A P, Fainberg Ya B At Energy 32 (2) 150 (1972)
  102. Koopman D W Modern Optical Methods in Gas Dynamic Research Chapter 11 (1971) p. 177
  103. Mikhailovskii A B, Fridman A M Plasma Phys. 13 (12) 1163 (1971)
  104. Alikhanov S G, Konkashbaev I K Nucl. Fusion 11 (2) 119 (1971)
  105. Caccamo C, Ferrante G Nuov Cim B 2 (1) 93 (1971)
  106. Alikhanov S G, Musher S L J Appl Mech Tech Phys 12 (5) 774 (1971)
  107. Harris E G Physics of Hot Plasmas Chapter 4 (1970) p. 145
  108. Ashour-Abdalla M Planetary And Space Science 18 (12) 1799 (1970)
  109. Albright N W The Physics of Fluids 13 (4) 1021 (1970)
  110. Oberman C Physics of Hot Plasmas Chapter 2 (1970) p. 42
  111. Preinhaelter J, V?lclav?ek J J. Plasma Phys. 4 (1) 175 (1970)
  112. Chervin R M, Sen A K The Physics of Fluids 13 (12) 3012 (1970)
  113. Ogunlana ’J Nuov Cim B 69 (1) 20 (1970)
  114. Kirichenko G S, Khmaruk V G At Energy 29 (2) 845 (1970)
  115. Watanabe T J. Phys. Soc. Jpn. 27 (5) 1341 (1969)
  116. Friedman M, Hamberger S M Sol Phys 8 (1) 104 (1969)
  117. Jensen T H, Malmberg J H, O’Neil T M The Physics of Fluids 12 (8) 1728 (1969)
  118. Alikhanov S G, Belan V G, Kichigin G N Physics Letters A 29 (6) 343 (1969)
  119. Friedman M Phys. Rev. 182 (5) 1408 (1969)
  120. Das A C J. Geophys. Res. 73 (23) 7457 (1968)
  121. Nezlin M V Plasma Phys. 10 (4) 337 (1968)
  122. Kennel C F, Scarf F L J. Geophys. Res. 73 (19) 6149 (1968)
  123. Kennel Ch F, Petschek H E Astrophysics And Space Science Library Vol. Physics of the MagnetosphereMagnetic Turbulence in Shocks10 Chapter 15 (1968) p. 485
  124. Boeschoten F, Demeter L J Plasma Phys. 10 (4) 391 (1968)
  125. Krasovitskii V B, Kurilko V I, Strzhemechnyi M A At Energy 24 (6) 670 (1968)
  126. Kartashev K B, Pistunovich V I, Filimonova E A At Energy 25 (2) 845 (1968)
  127. Kennel C F, Sagdeev R Z J. Geophys. Res. 72 (13) 3327 (1967)
  128. The Statistical Theory of Non-Equilibrium Processes in a Plasma (1967) p. 277
  129. Fang T N, Lambert R F International Journal Of Engineering Science 5 (11) 801 (1967)
  130. Kennel C F, Sagdeev R Z J. Geophys. Res. 72 (13) 3303 (1967)
  131. Gurevich A V, Tsedilina E E Sov. Phys. Usp. 10 (2) 214 (1967)
  132. Ecker Günter, Spatschek K-H Fallende Charakteristik und Instabilit?st der sto?zbestimmten Helium-Plasmas?sule Chapter 7 (1967) p. 28
  133. Gary S P The Physics of Fluids 10 (3) 570 (1967)
  134. Gurevič A V, Tsedilina E E Space Sci Rev 7 (4) 407 (1967)
  135. Gel’fand I M, Zueva N M et al USSR Computational Mathematics And Mathematical Physics 7 (2) 105 (1967)
  136. Vedenov A A Reviews of Plasma Physics Chapter 3 (1967) p. 229
  137. Electromagnetic Fluctuations in Plasma (1967) p. 206
  138. Shafranov V D Reviews of Plasma Physics Chapter 1 (1967) p. 1
  139. Solov’ev L S Reviews of Plasma Physics Chapter 4 (1967) p. 277
  140. Kislov V Ya, Bogdanov E V, Chernov Z S Advances In Electronics And Electron Physics Vol. Advances in Electronics and Electron Physics Volume 21Physical Foundations of Plasma Applications for Generation and Amplification of Microwaves21 (1966) p. 287
  141. Leven R Contrib Plasma Phys 6 (1) 9 (1966)
  142. Kato Yu, Tajiri M, Taniuti T J. Phys. Soc. Jpn. 21 (4) 765 (1966)
  143. V?lclav?ek J Czech J Phys 16 (8) 676 (1966)
  144. Chirikov B V J. Nucl. Energy, Part C Plasma Phys. 8 (4) 455 (1966)
  145. Fowler T K The Physics of Fluids 8 (3) 459 (1965)
  146. Engel R D The Physics of Fluids 8 (5) 939 (1965)
  147. Chirikov B V At Energy 19 (3) 1149 (1965)
  148. Muratov R Z, Samokhin M V J Appl Mech Tech Phys 6 (5) 1 (1965)
  149. Mazitov R K J Appl Mech Tech Phys 6 (1) 22 (1965)
  150. The Origin of Cosmic Rays (1964) p. 403
  151. Okutani Ju-i, Aono O J. Phys. Soc. Jpn. 19 (11) 2207 (1964)
  152. Galeev A A, Moiseev S S, Sagdeev R Z J. Nucl. Energy, Part C Plasma Phys. 6 (6) 645 (1964)
  153. Polovin R V Nucl. Fusion 4 (1) 10 (1964)
  154. Oraevsky V N Nucl. Fusion 4 (4) 263 (1964)
  155. Dolgopolov V V, Pakhomov V I, Stepanov K N Nucl. Fusion 4 (4) 279 (1964)
  156. Vedenov A A J. Nucl. Energy, Part C Plasma Phys. 5 (3) 169 (1963)
  157. Wells D R, Schmidt G The Physics of Fluids 6 (3) 418 (1963)
  158. Dungey J W J. Fluid Mech. 15 (1) 74 (1963)
  159. Vedenov A A The Soviet Journal Of Atomic Energy 13 (1) 591 (1963)
  160. Galeev A A, Moiseev S S, Sagdeev R Z At Energy 15 (6) 1229 (1963)
  161. Fainberg Ya B J. Nucl. Energy, Part C Plasma Phys. 4 (3) 203 (1962)
  162. Neufeld Ja Phys. Rev. 127 (2) 346 (1962)
  163. Fainberg Ya B The Soviet Journal Of Atomic Energy 11 (4) 958 (1962)
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions