ESSENTIAL FEATURES OF MODELS FOR DESCRIPTION OF MODULATION INSTABILITY OF LANGMUIR WAVES IN PLASMA

doi:10.26565/2312-4334-2015-2-01

Aleksandr V. Kirichok Kharkov National University, Institute for High Technologies4 Svobody Sq., Kharkov 61022, Ukraine https://orcid.org/0000-0002-2283-1070
Volodymyr M. Kuklin Kharkov National University, Institute for High Technologies4 Svobody Sq., Kharkov 61022, Ukraine https://orcid.org/0000-0002-0310-1582
A. G. Zagorodny Bogolyubov Institute for Theoretical Physics14–b, Metrolohichna str., Kiev, 03680, Ukraine https://orcid.org/0000-0002-7953-6726

DOI: https://doi.org/10.26565/2312-4334-2015-2-01

Abstract

Various models for description of the modulation instability of intensive Langmuir oscillations in plasma in one–dimensional representation are discussed. It is noted that the kinetic damping on the electrons can violate the conditions of the modulation instability development due to the suppression of the field at the stage of cavities formation, which in this case can reshape. The
hydrodynamic model not quite correctly describes the behavior of particles trapped by the spatially inhomogeneous field, neglecting in fact by their inertia that leads to formation of not only very small–scale and deep plasma density cavities, but also triggers to the peaking regime. Considering ions as particles within framework of so–called hybrid models (when electrons are described as fluid and ions as super–particles) allows to see the appearance of groups of fast ions and premature collapse of density cavities due to the intersection of ion trajectories. These models make possible determination of the energy transmitted to ions and low–frequency collective degrees of freedom. Different models are compared with special emphasis on the comparative dynamics of ion heating with development of the instability of intensive Langmuir oscillations in hot (Zakharov’s model) and cold (Silin’s model) plasma.

Downloads

Download data is not yet available.

Author Biography

Aleksandr V. Kirichok, Kharkov National University, Institute for High Technologies4 Svobody Sq., Kharkov 61022, Ukraine

artif.intel@karazin.ua

References

Silin V.P., Ruhadze A.A. Elektromagnitnye svojstva plazmy i plazmopodobnyh sred. – M. :Atomizdat, 1961. – 244s.

Basov N.G., Krohin O.N. Uslovija razogreva plazmy izlucheniem opticheskogo generatora // ZhJeTF. – 1964. - T.46. - Vyp.1. - S.171–175.

Dawson J.M. On the production of plasma by giant pulse lasers // Phys. Fluids. – 1964. - Vol.7. – No.7. - P.981–987.

Pashinin P.P., Prohorov A.M. Poluchenie vysokotemperaturnoj plotnoj plazmy pri lazernom nagreve special'noj gazovoj misheni. // ZhJeTF. – 1971. – T.60. – Vyp.5. – C.1630–1636.

Fajnberg Ja.B. Plazmennaja elektronika // Ukrainskij fizicheskij zhurnal. – 1978. – T. 23. – No. 11. – S. 1885.; Fajnberg Ja.B. Nekotorye voprosy plazmennoj elektroniki // Fizika plazmy. – 1985. – T. 11. – No. 11. – S. 1398-1410.

Kuzelev M.V., Ruhadze A.A. Elektrodinamika plotnyh elektronnyh puchkov v plazme. – M.: Nauka. Gl. red. fiz.–mat. lit.,1990.– 336s.

Shapiro V.D., Shevchenko V.I. Vzaimodejstvie volna-chastica v neravnovesnyh sredah // Izv. vuzov. Radiofizika. – 1976. – T. 19. – No. 5-6. – S. 787-791.

Kondratenko A.N., Kuklin V.M. Osnovy plazmennoj elektroniki. – M.: Energoatomizdat, 1988. – 320s.

Buc V.A., Lebedev A.N. Kogerentnoe izluchenie intensivnyh elektronnyh puchkov. – M. Izd. FIAN RAN, 2006. – 333 s.

Silin V.P. Parametricheskij rezonans v plazme // ZhETF. – 1965. – T. 48. – S. 1679.

Zaharov V.E. O spektre slaboj turbulentnosti v plazme bez magnitnogo polja// ZhETF. – 1966. – T. 51. – S. 688.

Kruer W.L. et al. Anomalous high-frequency resistivity and heating of a plasma // Physical Review Letters. – 1970. – Vol. 24. – No. 18. – P. 987.

Aliev Ju.M., Silin V.P. Teorija kolebanij plazmy, nahodjashhejsja v vysokochastotnom elektricheskom pole // ZhETF. – 1965. – T. 48. – No. 3. – S. 901-912.

Gorbunov L.M., Silin V.P. O neustojchivosti plazmy v sil'nom VCh-pole // ZhETF. – 1965. – T. 49. – S. 1973-1982.

Silin V.P. Anomal'naja nelinejnaja dissipacija SVCh voln v plazme // Uspehi fizicheskih nauk. – 1971. – T. 104. – No. 8. – S. 677-678.

Kruer W.L. Heating of underdense plasmas by intense lasers. – Princeton Univ., NJ (USA). Plasma Physics Lab, 1972.

Ivanov A.A., Nikulin M.G. Nelinejnoe vzaimodejstvie lengmjurovskih voln bol'shoj amplitudy v besstolknovitel'noj plazme // ZhETF. – 1973. – T. 65. – No. 1. – S. 168–174.

Kim H.C., Stenzel R.L., Wong A.Y. Development of "Cavitons" and Trapping of rf Field // Physical Review Letters. – 1974. – VOL. 33. – No. 15. – P. 886.

Vyacheslavov L.N. et al. Spectra of developed Langmuir turbulence in a nonisothermal magnetized plasma // Physics of Plasmas (1994-present). – 1995. – Vol. 2. – No. 6. – P. 2224-2230.

McFarland M.D., Wong A.Y. Spectral content of strong Langmuir turbulence in the beam plasma interaction // Physics of Plasmas (1994-present). – 1997. – Vol. 4. – No. 4. – P. 945-955.

Andreev I.E., Silin V.P., Stenchikov G.L. O nasyshhenii parametricheskoj neustojchivosti plazmy v sil'nom elektromagnitnom pole // Fiz. plazmy. – 1977. – T. 3. – S. 1088-1096.

Kovrizhnyh L.M. Moduljacionnaja neustojchivost' i nelinejnye volny v holodnoj plazme // Fizika plazmy. – 1977. – T.3. – Vyp.5. – S. 1097–1105.

Buchel'nikova N.S., Matochkin E.P. Neustojchivost' i zatuhanie odnomernyh lengmjurovsih voln // AN SSSR, In–t. jadernoj fiziki – Preprint No. 79–115. – 1979. – S. 20.

Antipov S.V., Nezlin M.V., Snezhkin E.N., Trubnikov A.S. Vozbuzhdenie lengmjurovskih solitonov monoenergeticheskim elektronnym puchkom // ZhETF. – 1979. – T. 76. – S. 1571.

Sagdeev R.Z., Shapiro V.D., Shevchenko V.I. Dissipacija moshhnoj elektromagnitnoj volny v neodnorodnoj plazme i «sverhsil'naja» plazmennaja turbulentnost' // Fizika plazmy. – 1980. – T.6. – S. 377.

Wong A.Y., Cheung P.Y. Three–Dimensional Self–Collapse of Langmuir Waves // Phys. Rev. Lett. – 1984. – Vol. 52 – P.1222.

Cheung P.Y., Wong A.Y. Nonlinear evolution of electron electron–beam–plasma interaction // Phys. Fluids. – 1985. – Vol. 28. – P. 1538.

Karfidov D.M., Rubenchik A.M., Sergejchev K.F., Sychev I.A. Sil'naja lengmjurovskaja turbulentnost', vozbuzhdaemaja v plazme elektronnym puchkom // ZhETF. – 1990. – T. 98. – S. 1592.

Zaharov B.E., Pushkarev A.H., Rubenchik A.M., Sagdeev R.Z., Shvec V.F. Kinetika trehmernogo lengmjurovskogo kollapsa // ZhETF. – 1989. – T. 96 – S. 591.

Dawson J.M. Some Investigations of Plasma Instabilities in One–Dimensional Plasmas. – Princeton, N.J.: Princeton University, Plasma Physics Laboratory, 1962. – P. 45.

Mei–Mei Shen, Nicholson D.R. Numerical comparison of strong Langmuir turbulence model // Phys. Fluids. – 1987. –Vol.30. – No.4. – P. 1096–1103.

Degtjarev L.M., Sagdeev R.Z., Solov'ev G.I., Shapiro V.D., Shevchenko V.I. Odnomernaja turbulentnost' lengmjurovskih voln // Fizika plazmy. – 1980. – No.6. – C. 485–508.

Galeev A.A., Sagdeev R.Z., Sigov Ju.S., Shapiro V.D., Shevchenko V.I. Nelinejnaja teorija moduljacionnoj neustojchivosti lengmjurovskih voln // Fizika plazmy. – 1975. –T.1. – No.1. – S.10–20.

Sigov Ju.S., Hodyrev Ju.V. Odnomernyj kvazikollaps lengmjurovskih voln pri parametricheskom vozdejstvii na plazmu // DAN SSSR. – 1976. – T. 229. – S.833–836.

Sigov Yu.S., Zakharov V.E. Strong turbulence and its computer simulation // J. de Physique. – 1979. – Vol.40. – No. C7. – P.63–79.

Robinson P.A., De Oliveira G.I. Effect of ambient density fluctuations on Langmuir wave collapse and strong turbulence // Physics of Plasmas (1994-present). – 1999. – Vol. 6. – No. 8. – P. 3057-3065.

Wang J.G. et al. One‐dimensional simulations of Langmuir collapse in a radiation‐driven plasma // Physics of Plasmas (1994-present). – 1994. – Vol. 1. – No. 8. – P. 2531-2546.

Wang J.G. et al. Comparison of Zakharov simulation and open boundary Vlasov simulation of strong Langmuir turbulence // 19

Essential features of models for description of modulation instability of Langmuir... EEJP Vol.2 No.2 2015 Physics of Plasmas (1994-present). – 1996. – Vol. 3. – No. 1. – P. 111-121.

Kuklin V.M., Panchenko I.P., Sevidov S.M. Neustojchivost' intensivnoj lengmjurovskoj volny v holodnoj plazme. // Radiotehnika i elektronika. – 1988. – T.33. – Vyp.10. – S. 2135–2140.

Chernousenko V.V., Kuklin.V.M., Panchenko I.P. The structure in nonequilibrium media // In book: Acad. Nauk USSR, ITP, Nauk. Dumka: The integrability and kinetic equations for solitons. – 1990. – P. 472.

Clark K.L., Payne G.L., Nicholson D.R. A hybrid Zakharov particle simulation of ionospheric heating // Phys. Fluids B. - 1992. – Vol. 4. – No. 3.– P.708–718.

D'jachenko A.I., Zaharov V.E., Rubenchik A.M., Sagdeev R.Z., Shvec V.F. Dvumernyj lengmjurovskij kollaps i dvumernye lengmjurovskie solitony // Pis'ma v ZhETF. – T.44. – Vyp. 11. – S. 504–507.

Henri P. et al. Low-energy Langmuir cavitons: Asymptotic limit of weak turbulence // EPL (Europhysics Letters). – 2011. – Vol. 96. – No. 5. – S. 55004.

Kuklin V.M. Similarity of 1D Parametric Instability Description of Langmuir Waves // The Journal of Kharkiv National University, Physical Series: Nuclei, Particles, Fields. – 2013. – No.1041. – Iss.2 (58). – P.20–32.

Kuklin V.M. Instability of intensive longitudinal oscillations and structures in plasma // Proc. Contr. Papers. Int. Conf. on Plasma Physics, Kiev, Apr. 6–12. – 1987. – Vol.4. – P. 101–104.

Kuklin V.M. Sevidov S.M. K nelinejnoj teorii ustojchivosti intensivnyh kolebanij holodnoj plazmy // Fizika plazmy. – 1988. – T.14. – Vyp. 10. – S. 1180–1185.

Koch P., Albritton J. Electron and ion heating through resonant plasma oscillations // Physical Review Letters. – 1974. – Vol. 32. – No. 25. – P. 1420.

Bulanov S.V., Sasorov P.V. Ob uskorenii ionov na nelinejnoj stadii bunemanovskoj neustojchivosti // Fizika plazmy. – 1986. – T.12. – No. 1. – S. 54-56.

Batanov G.M. i dr. Lengmjurovskie volny bol'shoj amplitudy i uskorenie chastic v plazmennoj korone SVCh-razrjada // Fizika plazmy. – 1986. – T. 12. – No. 5. – S. 552-562.

Belkin E.V., Kirichok A.V., Kuklin V.M., Pryjmak A.V., Zagorodny A.G.. Dynamics of ions during development of parametric instability of Langmuir waves // VANT, Series “Plasma Electronics and New Methods of Acceleration”. – 2013. – No.4 (86). – Iss. 8. – P. 260–266.

Zagorodnij A.G., Kirichok A.V., Kuklin V.M., Prijmak A.V. Osobennosti nagreva ionov pri razvitii neustojchivosti intensivnyh lengmjurovskih kolebanij v plazme // Fizicheskie osnovy priborostroenija. – 2014. – T.3. – No.1. – S. 58 69.

Kuznetsov E.A. On averaged description of Langmuir waves in plasma // Sov. Plasma Physics. – 1976. – Vol. 2. – No.2. – P. 327–333.

Kirichok A.V., Kuklin V.M., Pryjmak A.V., Zagorodny A.G. Kinetics of ions during the development of parametric instability of intensive Langmuir waves in plasma // arXiv preprint arXiv: 1411.3011. – 2014.