Issues

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1961

 / 

February

  

Reviews of topical problems


STABILITY OF PLASMA

 a, ,
a National Research Centre ‘Kurchatov Institute’, pl. akad. 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

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)
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Îðèãèíàë: Âåäåíîâ À À, Âåëèõîâ Å Ï, Ñàãäååâ Ð Ç «Óñòîé÷èâîñòü ïëàçìû» ÓÔÍ 73 701–766 (1961); DOI: 10.3367/UFNr.0073.196104h.0701

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  30. Ryutov D D 25 (10) (2018)
  31. Bakunin O G Uspekhi Fizicheskikh Nauk 188 55 (2018)
  32. Mrówczyński S Eur. Phys. J. A 54 (3) (2018)
  33. Meng G, Gorelenkov N N et al Nucl. Fusion 58 082017 (2018)
  34. Treumann R A, Baumjohann W Ann. Geophys. 36 1563 (2018)
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  37. Lazar M, Yoon P H, Eliasson B 24 (4) (2017)
  38. Yoon P H Rev. Mod. Plasma Phys. 1 (1) (2017)
  39. Duarte V N, Berk H L et al 24 (12) (2017)
  40. Skovorodin D I, Beklemishev A D (AIP Conference Proceedings) Vol. 1771 (2016) p. 030028
  41. Dubinov A E, Petrik A G et al 23 (4) (2016)
  42. Elizarova T G, Popov M V Comput. Math. And Math. Phys. 55 1330 (2015)
  43. Treumann R A, Baumjohann W Nonlin. Processes Geophys. 21 143 (2014)
  44. Bakunin O G Uspekhi Fizicheskikh Nauk 183 1237 (2013) [Bakunin O G Phys.-Usp. 56 1132 (2013)]
  45. Balogh A, Treumann R A Physics of Collisionless Shocks Chapter 2 (2013) p. 7
  46. Ukhorskiy A Y, Sitnov M I Space Sci Rev 179 545 (2013)
  47. Klykov I L, Tarakanov V P, Shustin E G Plasma Phys. Rep. 38 263 (2012)
  48. Chkheidze N New Astronomy 17 227 (2012)
  49. Ukhorskiy A Y, Sitnov M I The Van Allen Probes Mission Chapter 17 (2012) p. 545
  50. Chkheidze N A&A 527 A2 (2011)
  51. Chkheidze N, Machabeli G, Osmanov Z ApJ 730 62 (2011)
  52. Mrówczyński S, Müller B Phys. Rev. D 81 (6) (2010)
  53. Mikhailovskii A B, Lominadze J G et al Plasma Phys. Rep. 35 273 (2009)
  54. Yampolsky N A, Fisch N J 16 (7) (2009)
  55. Medvedev Yu V Plasma Phys. Control. Fusion 50 022001 (2008)
  56. Treumann R A Advances In Space Research 37 1482 (2006)
  57. Bilato R, Brambilla M Plasma Phys. Control. Fusion 46 1455 (2004)
  58. Kuznetsov E A J. Exp. Theor. Phys. 93 1052 (2001)
  59. Hanasz M, Sol H, Sauty C 316 494 (2000)
  60. Kidera M, Lamoureux M et al 70 4234 (1999)
  61. Ryutov D D Plasma Phys. Control. Fusion 41 A1 (1999)
  62. Berk H L, Breizman B N et al 3 1827 (1996)
  63. Bruhwiler D L, Cary J R Phys. Rev. E 50 3949 (1994)
  64. Kotyusov A N Radiophys Quantum Electron 33 899 (1990)
  65. Berk H L, Breizman B N 2 2226 (1990)
  66. Lesch H IEEE Trans. Plasma Sci. 17 252 (1989)
  67. Belova I V, Brushlinskii K V USSR Computational Mathematics And Mathematical Physics 28 47 (1988)
  68. Mishin E V, Treumann R A, Kapitanov V Ya J. Geophys. Res. 91 10183 (1986)
  69. Berezovskii M A, Dyachenko A I et al Plasma Phys. Control. Fusion 26 1477 (1984)
  70. Ginzburg V L, Ruhadze A A Encyclopedia Of Physics / Handbuch Der Physik Vol. Geophysik III–VIIWaves and Resonances in Magneto-active Plasma10 / 49 / 4 Chapter 15 (1984) p. 920
  71. Srivastava K M, Sudhanshu, Singh R Plasma Phys. 25 57 (1983)
  72. Handbook on Plasma Instabilities (1982) p. 1309
  73. Cyclotron Waves in Plasma (1981) p. 195
  74. Bakai A S Physica D: Nonlinear Phenomena 2 52 (1981)
  75. Ishii K, Ishizuka H et al J. Phys. Soc. Jpn. 43 357 (1977)
  76. Wilhelm H E, Hong S H 48 561 (1977)
  77. Handbook on Plasma Instabilities (1976) p. 393
  78. Plasma Electrodynamics (1975) p. 393
  79. Gurevich A V, Pitaevsky L P Progress In Aerospace Sciences 16 227 (1975)
  80. Non-Linear Theory and Fluctuations (1975) p. 283
  81. Maksumov M N Galaxies and Relativistic Astrophysics Chapter 14 (1974) p. 120
  82. Mishin E V Astrophys Space Sci 27 367 (1974)
  83. Sasakura Yu J. Phys. Soc. Jpn. 37 482 (1974)
  84. Mikhailovskii A B Theory of Plasma Instabilities Chapter 7 (1974) p. 137
  85. Mikhailovskii A B Theory of Plasma Instabilities Chapter 12 (1974) p. 227
  86. Gutkin T I, Tsypin V S, Boleslavskaya G I Nucl. Fusion 14 313 (1974)
  87. Alikhanov S G, Musher S L J Appl Mech Tech Phys 12 774 (1973)
  88. Walsh J E, Conrad J R, Diaz C J 16 716 (1973)
  89. Ecker G Theory of Fully Ionized Plasmas (1972) p. 91
  90. Koopman D W 15 1959 (1972)
  91. Alikhanov S G, Kichigin G N, Konkasbaev I K Plasma Phys. 14 661 (1972)
  92. Kurilko V I, Tolstoluzhskii A P, Fainberg Ya B At Energy 32 150 (1972)
  93. Das A C Cosmic Plasma Physics Chapter 5 (1972) p. 37
  94. Koopman D W Modern Optical Methods in Gas Dynamic Research Chapter 11 (1971) p. 177
  95. Alikhanov S G, Konkashbaev I K Nucl. Fusion 11 119 (1971)
  96. Caccamo C, Ferrante G Nuov Cim B 2 93 (1971)
  97. Mikhailovskii A B, Fridman A M Plasma Phys. 13 1163 (1971)
  98. Oberman C Physics of Hot Plasmas Chapter 2 (1970) p. 42
  99. Ogunlana ’J Nuov Cim B 69 20 (1970)
  100. Harris E G Physics of Hot Plasmas Chapter 4 (1970) p. 145
  101. Chervin R M, Sen A K 13 3012 (1970)
  102. Ashour-Abdalla M Planetary And Space Science 18 1799 (1970)
  103. Albright N W 13 1021 (1970)
  104. Kirichenko G S, Khmaruk V G At Energy 29 845 (1970)
  105. Preinhaelter J, Václavík J J. Plasma Phys. 4 175 (1970)
  106. Friedman M Phys. Rev. 182 1408 (1969)
  107. Watanabe T J. Phys. Soc. Jpn. 27 1341 (1969)
  108. Alikhanov S G, Belan V G, Kichigin G N Physics Letters A 29 343 (1969)
  109. Friedman M, Hamberger S M Sol Phys 8 104 (1969)
  110. Jensen T H, Malmberg J H, O’Neil T M 12 1728 (1969)
  111. Kartashev K B, Pistunovich V I, Filimonova E A At Energy 25 845 (1968)
  112. Boeschoten F, Demeter L J Plasma Phys. 10 391 (1968)
  113. Kennel Ch F, Petschek H E Astrophysics And Space Science Library Vol. Physics of the MagnetosphereMagnetic Turbulence in Shocks10 Chapter 15 (1968) p. 485
  114. Krasovitskii V B, Kurilko V I, Strzhemechnyi M A At Energy 24 670 (1968)
  115. Nezlin M V Plasma Phys. 10 337 (1968)
  116. Kennel C F, Scarf F L J. Geophys. Res. 73 6149 (1968)
  117. Das A C J. Geophys. Res. 73 7457 (1968)
  118. Muratov R Z, Samokhin M V J Appl Mech Tech Phys 6 1 (1967)
  119. Ecker G, Spatschek K-H Fallende Charakteristik und Instabilität der stoßbestimmten Helium-Plasmasäule Chapter 7 (1967) p. 28
  120. Gurevich A V, Tsedilina E E Sov. Phys. Usp. 10 214 (1967)
  121. Shafranov V D Reviews of Plasma Physics Chapter 1 (1967) p. 1
  122. Kennel C F, Sagdeev R Z J. Geophys. Res. 72 3303 (1967)
  123. Electromagnetic Fluctuations in Plasma (1967) p. 206
  124. Kennel C F, Sagdeev R Z J. Geophys. Res. 72 3327 (1967)
  125. Gurevič A V, Tsedilina E E Space Sci Rev 7 407 (1967)
  126. Gary S P 10 570 (1967)
  127. Fang T N, Lambert R F International Journal Of Engineering Science 5 801 (1967)
  128. Vedenov A A Reviews of Plasma Physics Chapter 3 (1967) p. 229
  129. Solov’ev L S Reviews of Plasma Physics Chapter 4 (1967) p. 277
  130. The Statistical Theory of Non-Equilibrium Processes in a Plasma (1967) p. 277
  131. Gel’fand I M, Zueva N M et al USSR Computational Mathematics And Mathematical Physics 7 105 (1967)
  132. Václavík J Czech J Phys 16 676 (1966)
  133. 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
  134. Mazitov R K J Appl Mech Tech Phys 6 22 (1966)
  135. Chirikov B V J. Nucl. Energy, Part C Plasma Phys. 8 455 (1966)
  136. Kato Yu, Tajiri M, Taniuti T J. Phys. Soc. Jpn. 21 765 (1966)
  137. Leven R Contrib Plasma Phys 6 9 (1966)
  138. Engel R D 8 939 (1965)
  139. Chirikov B V At Energy 19 1149 (1965)
  140. Fowler T K 8 459 (1965)
  141. The Origin of Cosmic Rays (1964) p. 403
  142. Oraevsky V N Nucl. Fusion 4 263 (1964)
  143. Polovin R V Nucl. Fusion 4 10 (1964)
  144. Galeev A A, Moiseev S S, Sagdeev R Z J. Nucl. Energy, Part C Plasma Phys. 6 645 (1964)
  145. Okutani Jun-ichi, Aono O J. Phys. Soc. Jpn. 19 2207 (1964)
  146. Dolgopolov V V, Pakhomov V I, Stepanov K N Nucl. Fusion 4 279 (1964)
  147. Galeev A A, Moiseev S S, Sagdeev R Z At Energy 15 1229 (1963)
  148. Vedenov A A The Soviet Journal Of Atomic Energy 13 591 (1963)
  149. Vedenov A A J. Nucl. Energy, Part C Plasma Phys. 5 169 (1963)
  150. Wells D R, Schmidt G 6 418 (1963)
  151. Dungey J W J. Fluid Mech. 15 74 (1963)
  152. Neufeld Ja Phys. Rev. 127 346 (1962)
  153. Fainberg Ya B The Soviet Journal Of Atomic Energy 11 958 (1962)
  154. Fainberg Ya B J. Nucl. Energy, Part C Plasma Phys. 4 203 (1962)

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