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Drift Kelvin-Helmholtz instabilities in space plasmas

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Abstract

Drift Kelvin-Helmholtz instabilities are of extreme interest for a variety of astrophysical and space science situations such as the interaction of the solar wind with the boundary of the Earth's magnetosphere, the stream structure of solar wind, and the helical wave motions observed in ionized comet tails. Three cases of these instabilities are discussed in the presence of equilibrium electric and magnetic fields which are perpendicular to each other. A comparison is made with the previous studies. In the first case, the magneto-acoustic instability in a plasma flow of finite β with homogeneous density and temperature is discussed and a dispersion relation is achieved and the instability criterion is established. In the second case, effect of the density gradient is studied on the electrostatic drift Kelvin-Helmholtz instability of a low-β plasma in the presence of equilibrium electric and magnetic fields and an instability criterien is chtained In the third case, we discuss the magneto-acoustic instability of a high-β plasma with gradients in equilibrium density and magnetic field. Stability conditions are worked out, quantitatively discussed and compared with the previous results. It is shown that the electric field has a stabilizing or destabilizing effect according as the conditions given in this paper.

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References

  • Bavassano, B., Dobrowolny, M., and Moreno, G.: 1978,Solar Phys. 57, 445.

    Google Scholar 

  • Begelman, M. C., Blandford, R. D., and Rees, M. J.: 1984,Rev. Mod. Phys. 56, 255.

    Google Scholar 

  • Blandford, R. D. and Pringle, J. E.: 1976,Monthly Notices Roy. Astron. Soc. 176, 443.

    Google Scholar 

  • Braginskii, S. I.: 1965, in M. A. Leontovich (ed.),Reviews of Plasma Physics, Consultants Bureau, Vol. 1, p. 205.

  • Brandt, J. C. and Mendis, D. A.: 1979, in C. F. Kennel, L. J. Lanzerotti, and E. N. Parker (eds.),Solar System Plasma Physics, Vol. 2, North-Holland, Amsterdam, p. 253.

    Google Scholar 

  • Budker, G. I., Mirnov, V. V., and Ryutov, D. D.: 1971,J. Eksper. Theor. Phys. Letters 14, 212.

    Google Scholar 

  • Catto, P. J., Rosenbluth, M. N., and Liu, C. S.: 1973,Phys. Fluids 16, 1719.

    Google Scholar 

  • Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Dover Publ., New York.

    Google Scholar 

  • Chen, L. and Hasegawa, A.: 1974,J. Geophys. Res. 79, 1024, 1033.

    Google Scholar 

  • Chernikov, A. A.: 1974,Astron. Zh. (USSR) 51, 852.

    Google Scholar 

  • D'Angelo, N.: 1965,Phys. Fluids 8, 1748.

    Google Scholar 

  • D'Angelo, N.: 1973,J. Geophys. Res. 78, 1206.

    Google Scholar 

  • Dobrowolny, M.: 1972,Phys. Fluids 15, 2263.

    Google Scholar 

  • Dobrowolny, H. and D'Angelo, N.: 1972, in K. Schindler (ed.),Cosmic Plasma Physics, Plenum Press, New York, p. 149.

    Google Scholar 

  • Ershkovich, A. I. and Chernikov, A. A.: 1973,Planetary Space Sci. 21, 663.

    Google Scholar 

  • Ershkovich, A. I., Nusmov, A. A., and Chernikov, A. A.: 1972,Planetary Space Sci. 20, 1235.

    Google Scholar 

  • Gerwin, R. A.: 1968,Rev. Mod. Phys. 48, 652.

    Google Scholar 

  • Huba, J. D., Satyanarayana, P., and Lee, Y. C.: 1984,Bull. Am. Phys. Soc. 29, 1192.

    Google Scholar 

  • Jokipii, J. R. and Davis, L.: 1969,Astrophys. J. 156, 1101.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1959,Electrodynamics of Continuous Media, Addison-Wesley, London.

    Google Scholar 

  • McKenzie, J. F.: 1970,J. Geophys. Res. Space Phys. 75, 5331.

    Google Scholar 

  • Mikhailovskii, A. B.: 1973,Nuclear Fusion 13, 259.

    Google Scholar 

  • Mikhailovskii, A. B.: 1982,J. Plasma Phys. 28 (Part 1), 1.

    Google Scholar 

  • Mikhailovskii, A. B. and Klimenko, V. A.: 1980,J. Plasma Phys. 24, 385.

    Google Scholar 

  • Mikhailovskii, A. B. and Shafranov, V. D.: 1973,JETP Letters 18, 124.

    Google Scholar 

  • Mikhailovskii, A. B. and Shafranov, V. D.: 1974,Soviet Phys. JETP 39, 88.

    Google Scholar 

  • Mikhailovskii, A. B. and Tsypin, V. S.: 1971,Plasma Phys. 13, 785.

    Google Scholar 

  • Miles, J. W.: 1957,J. Acoust. Soc. Am. 29, 226.

    Google Scholar 

  • Miura, A.: 1982,Phys. Rev. Letters 49, 779.

    Google Scholar 

  • Miura, A. and Pritchett, P. L.: 1982,J. Geophys. Res. 87, 7431.

    Google Scholar 

  • Miura, A.: 1984,J. Geophys. Res. 89, 801.

    Google Scholar 

  • Nepveu, M.: 1980,Astron. Astrophys. 84, 14.

    Google Scholar 

  • Norman, M. L., Smarr, L., Winkler, K. H. A., and Smith, M. D.: 1982,Astron. Astrophys. 113, 285.

    Google Scholar 

  • Pritchett, P. L. and Coroniti, F. V.: 1984,J. Geophys. Res. 89, 168.

    Google Scholar 

  • Pu, Z. Y. and Kivelson, M. G.: 1983,J. Geophys. Res. 88, 841, 853.

    Google Scholar 

  • Ray, T. P. and Ershkovich, A. I.: 1983,Monthly Notices Roy. Astron. Soc. 204, 821.

    Google Scholar 

  • Roy Choudhury, S.: 1986,J. Plasma Phys. 35, 375.

    Google Scholar 

  • Roy Choudhyry, S. and Lovelace, R. V. E.: 1984,Astrophys. J. 283, 331.

    Google Scholar 

  • Satyanarayana, P., Lee, Y. C., and Huba, J. D.: 1984,Bull. Am. Phys. Soc. 29, 1192.

    Google Scholar 

  • Scarf, F. L., Kurth, W. S., Gurnett, D. A., Bridge, H. S., and Sullivan, J. D.: 1981,Nature 292, 585.

    Google Scholar 

  • Sen, A. K.: 1965,Planetary Space Sci. 13, 131.

    Google Scholar 

  • Singh, R., Sudhanshu, and Srivastava, K. M.: 1983,Astrophys. Space Sci. 89, 201.

    Google Scholar 

  • Southwood, D. J.: 1968,Planetary Space Sci. 16, 587.

    Google Scholar 

  • Southwood, D. J.: 1974,Planetary Space Sci. 22, 483.

    Google Scholar 

  • Srivastava, K. M. and Vyas, D. N.: 1979,Astrophys. Space Sci. 62, 353.

    Google Scholar 

  • Srivastava, K. M. and Singh, R.: 1983,Astrophys. Space Sci. 89, 37.

    Google Scholar 

  • Srivastava, K. M., Vyas, D. N., and Singh, R.: 1983,Astrophys. Space Sci. 90, 351.

    Google Scholar 

  • Stix, T. H.: 1973,Phys. Fluids 16, 1922.

    Google Scholar 

  • Sturrock, P. A. and Hartle, R. E.: 1966,Phys. Rey. Letters 16, 628.

    Google Scholar 

  • Tajima, T. and Leboeuf, J. N.: 1980,Phys. Fluids 23, 894.

    Google Scholar 

  • Turland, B. D. and Scheuer, P. A. G.: 1976,Monthly Notices Roy. Astron. Soc. 176, 421.

    Google Scholar 

  • Vyas, D. N., Singh, R., and Srivastava, K. M.: 1983,Astrophys. Space Sci. 90, 337.

    Google Scholar 

  • Wu, C. C.: 1984,Bull. Am. Phys. Soc. 29, 1192.

    Google Scholar 

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Author notes

  1. Krishna M. Srivastava

    Present address: Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USA

Authors and Affiliations

  1. Department of Mathematics, University of Roorkee, Roorkee, India

    Avadhesh C. Sharma & Krishna M. Srivastava

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  1. Avadhesh C. Sharma
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  2. Krishna M. Srivastava
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Sharma, A.C., Srivastava, K.M. Drift Kelvin-Helmholtz instabilities in space plasmas. Astrophys Space Sci 197, 43–55 (1992). https://doi.org/10.1007/BF00645071

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  • DOI: https://doi.org/10.1007/BF00645071

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