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One-dimensional modulational instability models of intense Langmuir plasma oscillations using the Silin—Zakharov equations

 a,  b,  b
a Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine
b V.N. Karazin Khar'kov National University, pl. Svobody 4, Khar'kov, 61077, Ukraine

The modulational instability mechanisms of intense Langmuir oscillations in a plasma are reviewed both for field energy densities below (Zakharov's model) and above (Silin's model) the plasma's thermal energy density. It is shown by a one-dimensional example that V E Zakharov's mechanism involving nonlinear absorption of plasma waves also holds for intense cold plasma fields described by V P Silin's model. It is also shown that the development mechanisms of the modulational instability of Langmuir oscillations are similar for nonisothermal and cold plasmas. Hybrid models treating the electrons quasi-hydrodynamically and the ions as particles are analyzed in detail which allow the study of the direct mechanism by which energy is transferred to ions in the process as an instability develops.

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Fulltext is also available at DOI: 10.3367/UFNe.2016.01.037697
Keywords: modulational instability, parametric instability, non-isothermal and cold plasmas, Zakharov's model, Silin's model, hybrid models
PACS: 52.35.−g, 52.65.−y (all)
DOI: 10.3367/UFNe.2016.01.037697
URL: https://ufn.ru/en/articles/2016/7/c/
000386357600003
2-s2.0-84991688548
2016PhyU...59..669Z
Citation: Zagorodnii A G, Kirichok A V, Kuklin V M "One-dimensional modulational instability models of intense Langmuir plasma oscillations using the Silin—Zakharov equations" Phys. Usp. 59 669–688 (2016)
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Received: 7th, December 2015, 14th, January 2016

Оригинал: Загородний А Г, Киричок А В, Куклин В М «Одномерные модели модуляционной неустойчивости интенсивных ленгмюровских колебаний в плазме на основе уравнений Захарова и Силина» УФН 186 743–762 (2016); DOI: 10.3367/UFNr.2016.01.037697

References (63) ↓ Similar articles (20)

  1. Fainberg Ya B Ukr. Fiz. Zhurn. 23 1885 (1978)
  2. Rabinovich M S, Rukhadze A A Fizika Plazmy 2 715 (1976); Rabinovich M S, Rukhadze A A Sov. J. Plasma Phys. 2 715 (1976)
  3. Dawson J M Phys. Fluids 7 981 (1964)
  4. Pashinin P P, Prokhorov A M Zh. Eksp. Teor. Fiz. 60 1630 (1971); Pashinin P P, Prokhorov A M Sov. Phys. JETP 33 883 (1971)
  5. Fainberg Ya B Fizika Plazmy 11 1398 (1985); Fainberg Ya B Sov. J. Plasma Phys. 11 803 (1985)
  6. Kuzelev M V, Rukhadze A A Elektrodinamika Plotnykh Elektronnykh Puchkov v Plazme (M.: Nauka, 1990)
  7. Shapiro V D, Shevchenko V I Izv. Vuzov. Radiofizika 19 767 (1976); Shapiro V D, Shevchenko V I Radiophys. Quantum Electron. 19 543 (1976)
  8. Kondratenko A N, Kuklin V M Osnovy Plazmennoi Elektroniki (M.: Energoatomizdat, 1988)
  9. Buts V A, Lebedev A N Kogerentnoe Izluchenie Intensivnykh Elektronnykh Puchkov (M.: Fizicheskii in-t im. P.N. Lebedeva RAN, 2006); Buts V A, Lebedev A N, Kurilko V I The Theory Of Coherent Radiation By Intense Electron Beams (Berlin: Springer, 2006)
  10. Silin V P Zh. Eksp. Teor. Fiz. 48 1679 (1965); Silin V P Sov. Phys. JETP 21 1127 (1965)
  11. Zakharov V E Zh. Eksp. Teor. Fiz. 51 688 (1966); Zakharov V E Sov. Phys. JETP 24 455 (1967)
  12. Aliev Yu M, Silin V P Zh. Eksp. Teor. Fiz. 48 901 (1965); Aliev Yu M, Silin V P Sov. Phys. JETP 21 601 (1965)
  13. Gorbunov L M, Silin V P Zh. Eksp. Teor. Fiz. 49 1973 (1965); Gorbunov L M, Silin V P Sov. Phys. JETP 22 1347 (1966)
  14. Kruer W L et al. Phys. Rev. Lett. 24 987 (1970)
  15. Silin V P Usp. Fiz. Nauk 108 625 (1972); Silin V P Sov. Phys. Usp. 15 742 (1973)
  16. Silin V P Parametricheskoe Vozdeistvie Izlucheniya Bol’shoi Moshchnosti na Plazmu (M.: Nauka, 1973)
  17. Zakharov V E Zh. Eksp. Teor. Fiz. 62 1745 (1972); Zakharov V E Sov. Phys. JETP 35 908 (1972)
  18. Kruer W L Phys. Fluids 16 1548 (1973)
  19. Ivanov A A, Nikulin M G Zh. Eksp. Teor. Fiz. 65 168 (1973); Ivanov A A, Nikulin M G Sov. Phys. JETP 38 83 (1974)
  20. Kim H C, Stenzel R L, Wong A Y Phys. Rev. Lett. 33 886 (1974)
  21. Degtyarev L M, Zakharov V E Pis’ma ZhETF 21 9 (1975); Degtyarev L M, Zakharov V E JETP Lett. 21 4 (1975)
  22. Andreev N E, Silin V P, Stenchikov G L Fizika Plazmy 3 1088 (1977); Andreev N E, Silin V P, Stenchikov G L Sov. J. Plasma Phys. 3 602 (1977)
  23. Kovrizhnykh L M Fizika Plazmy 3 1097 (1977); Kovrizhnykh L M Sov. J. Plasma Phys. 3 607 (1977)
  24. Zakharov V E, L’vov V S, Rubenchik A M Pis’ma ZhETF 25 11 (1977); Zakharov V E, L’vov V S, Rubenchik A M JETP Lett. 25 8 (1977)
  25. Buchel’nikova N S, Matochkin E P Preprint №79-115 (Novosibirsk: In-t yadernoi fiziki AN SSSR, 1979)
  26. Sagdeev R Z, Shapiro V D, Shevchenko V I Fizika Plazmy 6 377 (1980); Sagdeev R Z, Shapiro V D, Shevchenko V I Sov. J. Plasma Phys. 6 207 (1980)
  27. Degtyarev L M i dr. Zh. Eksp. Teor. Fiz. 85 1221 (1983); Degtyarev L M et al. Sov. Phys. JETP 58 710 (1983)
  28. Wong A Y, Cheung P Y Phys. Rev. Lett. 52 1222 (1984)
  29. Cheung P Y, Wong A Y Phys. Fluids 28 1538 (1985)
  30. Popel S I, Tsytovich V N, Vladimirov S V Phys. Plasmas 1 2176 (1994)
  31. Zakharov B E i dr. Zh. Eksp. Teor. Fiz. 96 591 (1989); Zakharov V E et al. Sov. Phys. JETP 69 334 (1989)
  32. Karfidov D M i dr. Zh. Eksp. Teor. Fiz. 98 1592 (1990); Karfidov D M et al. Sov. Phys. JETP 71 892 (1990)
  33. Vyacheslavov L N et al. Phys. Plasmas 2 2224 (1995)
  34. McFarland M D, Wong A Y Phys. Plasmas 4 945 (1997)
  35. Kuznetsov E A Fiz. Plazmy 2 327 (1976); Kuznetsov E A Sov. J. Plasma Phys. 2 178 (1976)
  36. Zakharov V E Usp. Fiz. Nauk 155 529 (1988); Zakharov V E Sov. Phys. Usp. 31 672 (1988)
  37. Zakharov V E, Kuznetsov E A Usp. Fiz. Nauk 182 569 (2012); Zakharov V E, Kuznetsov E A Phys. Usp. 55 535 (2012)
  38. Dawson J M Report No. MATT-152 (Princeton, NJ: Princeton Univ., NJ Plasma Physics Lab., 1962)
  39. Shen M-M, Nicholson D R Phys. Fluids 30 1096 (1987)
  40. Degtyarev L M i dr. Fizika Plazmy 6 485 (1980); Degtyarev L M et al. Sov. J. Plasma Phys. 6 263 (1980)
  41. Galeev A A i dr. Fizika Plazmy 1 10 (1975); Galeev A A et al. Sov. J. Plasma Phys. 1 5 (1975)
  42. Sigov Yu S, Khodyrev Yu V Dokl. Akad. Nauk SSSR 229 833 (1976); Sigov Yu S, Khodyrev Yu V Sov. Phys. Dokl. 21 444 (1976)
  43. Sigov Yu S, Zakharov V E J. Physique 40 (Colloq. C-7) 63 (1979)
  44. Robinson P A, de Oliveira G I Phys. Plasmas 6 3057 (1999)
  45. Wang J G et al. Phys. Plasmas 1 2531 (1994)
  46. Wang J G et al. Phys. Plasmas 3 111 (1996)
  47. Kuklin V M, Panchenko I P, Sevidov S M Radiotekhnika Elektronika 33 2135 (1988)
  48. Chernousenko V V, Kuklin V M, Panchenko I P Integriruemost’ i Kineticheskie Uravneniya dlya Solitonov (Otv. red. V G Bar’yakhtar, V E Zakharov, V M Chernousenko) (Kiev: Naukova dumka, 1990) p. 472
  49. Clark K L, Payne G L, Nicholson D R Phys. Fluids B 4 708 (1992)
  50. D’yachenko A I i dr. Pis’ma ZhETF 44 504 (1986); D’yachenko A I et al. JETP Lett. 44 648 (1986)
  51. Henri P et al. Europhys. Lett. 96 55004 (2011)
  52. Kuklin V M J. Kharkiv Natl. Univ. Phys. Ser. Nucl. Part. Fields (1041(2)) 20 (2013)
  53. Kuklin V M Proc. Contr. Papers. of Int. Conf. on Plasma Physics, Kiev, April 6 - 12, 1987 p. 1401
  54. Kuklin V M, Sevidov S M Fizika Plazmy 14 1180 (1988)
  55. Koch P, Albritton J Phys. Rev. Lett. 32 1420 (1974)
  56. Bulanov S V, Sasorov P V Fizika Plazmy 12 54 (1986); Bulanov S V, Sasorov P V Sov. J. Plasma Phys. 12 29 (1986)
  57. Batanov G M i dr. Fizika Plazmy 12 552 (1986); Batanov G M et al. Sov. J. Plasma Phys. 12 317 (1986)
  58. Belkin E V i dr. Vopr. Atom. Nauki Tekh. Plazmennaya Elektronika Novye Metody Uskoreniya (4) 260 (2013)
  59. Zagorodnii A G i dr. Fizicheskie Osnovy Priborostroeniya 3 (1) 58 (2014)
  60. Kirichok A V et al. Phys. Plasmas 22 092118 (2015)
  61. Kirichok A V et al. arXiv:1411.3011
  62. Kuklin V M, Panchenko I P Pis’ma ZhETF 43 237 (1986); KuklV M, Panchenko I P JETP Lett. 43 302 (1986)
  63. Kondratenko A N Poverkhnostnye i Ob’’emnye Volny v Ogranichennoi Plazme (M.: Energoatomizdat, 1985)
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