Skip to main content
SpringerLink
Log in

Nonlinear problems of physics of the geomagnetic pulsations

  • Published:
Space Science Reviews Aims and scope Submit manuscript

Abstract

The current state of research involving manifestations of nonlinearity in geomagnetic pulsations is reviewed. Traditionally, the attention of researchers was focused on the effects of resonant interaction of geomagnetic pulsations with small groups of energetic particles, which actually means the study of the quasi-linear relaxation of radiation belt ions, the modulation of auroral electron fluxes, etc. The present review concentrates on the problem of the nonlinear effect influence of pulsations on the backgroud (‘cold’) plasma and on the geomagnetic field. This kind of interaction results in a significant modification of the plasma distribution in the magnetosphere. Self-consistent wave structures—solitons and vortices may occur as well. Such nonlinear effects contribute to physics of geomagnetic pulsations and are also of fundamental importance for general physics. Another set of more narrow problems considered in the review, is related to phenomenological modeling of fluctuational and critical phenomena in the magnetosphere. The essence of our approach is to present the magnetosphere as a black box, whose properties should be determined by the statistical characteristics of its output signals. This approach to phenomenology can be a useful supplement to the methods of microscopic modeling aimed at detecting nonlinear manifestations of geomagnetic pulsations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Alazraki, G. and Couturier, P.: 1971,Astron. Astrophys. 13, 380.

    Google Scholar 

  • Alfvén, H. and Fälthammar C.-G.: 1963,Cosmic Electrodynamics, Clarendon Press, Oxford.

    Google Scholar 

  • Andronov, A. A. and Fabrikant, A. L.: 1979, in A. V. Gaponov-Grekhov (ed.),Nonlinear Waves, Nauka, Moscow, p. 60 (in Russian).

    Google Scholar 

  • Angerami, J. J. and Thomas, J. O.: 1964,J. Geophys. Res. 69, 4537.

    Google Scholar 

  • Aslin, P. M., Jarvis, M.J., and Morrison, K.: 1991,J. Atmospheric Terrest. Phys. 53, 343.

    Google Scholar 

  • Aubry, M. P.: 1970,Ann. Geophys. 26, 341.

    Google Scholar 

  • Banks, P. M. and Holzer, T. E.: 1969,J. Geophys. Res. 74, 6317.

    Google Scholar 

  • Barash, Yu. S. and Karpman, I.: 1983,J. Eksperim. Theor. Phys. 85, 1962.

    Google Scholar 

  • Barnes, D. C., Kamimura, T., Leboeuf, J.-N., and Tajima, T.: 1983,J. Comput. Phys. 52, 480.

    Google Scholar 

  • Belcher, J. W.: 1971,Astrophys. J. 168, 509.

    Google Scholar 

  • Bhatnagar, P. L.: 1979,Nonlinear Waves in One-Dimensional Dispersive Systems, Clarendon Press, Oxford.

    Google Scholar 

  • Bondarenko, N. M., Klain, B. I., and Repin, V. N.: 1979,Research Geomagn., Aeron. Solar Phys. 46, 60 (in Russian).

    Google Scholar 

  • Bonifazi, C., Moreno, G., Lazarus, A. J., and Sullivan, J. D.: 1980,Consiglio Nazionale delle Richercher, via G. Galilei, Frascati, LPS-80-1.

  • Burton, B. K., McPherron, R. L., and Russell, C. T.: 1975,J. Geophys. Res. 80, 4204.

    Google Scholar 

  • Campbell, W. H.: 1967, in S. Matsushita and W. H. Campbell (eds.),Physics of Geomagnetic Phenomena, Academic Press, New York, Vol. 2, p. 821.

    Google Scholar 

  • Chmyrev, V. M., Bilichenko, S. V., Lazarev, V. I., Pokhotelov, O. A., Strelsov, A. V., and Stenflo, L.: 1988,Phys. Scripta 38, 841.

    Google Scholar 

  • Chmyrev, V. M., Marchenko, V. A., Pokhotelov, O. A., Stenflo, L., Streltsov, A. V., and Steen, A.: 1991,Planetary Space Sci. 39 (7), 1025.

    Google Scholar 

  • Cornwall, J. M., Coroniti, F. V., and Thorne, R. M.: 1970,J. Geophys. Res. 75, 4699.

    Google Scholar 

  • Formisano, V. and Amata, E.: 1976,J. Geophys Res. 81, 3907.

    Google Scholar 

  • Gendrin, R.: 1970,Space Sci. Rev. 11, 54.

    Google Scholar 

  • Gendrin, R.: 1975,Space Sci. Rev. 18, 145.

    Google Scholar 

  • Ginzburg, V. L.: 1975,Theoretical Physics and Astrophysics, Nauka, Moscow (in Russian).

    Google Scholar 

  • Goertz, C. K.: 1984,Planetary Space Sci. 32, 1387.

    Google Scholar 

  • Gosling, J. T., Asbridge, J. R., Bame, S. J., Pashman, G., and Sckopke, N.: 1978,Geophys. Res. Letters 5, 957.

    Google Scholar 

  • Greenstadt, E. W., Olson, J. V., Loewen, P. D., and Singer, H. J., and Russell, C. T.: 1979,J. Geophys Res 84, 6694.

    Google Scholar 

  • Gudzenko, L. I.: 1962,Radiophysica 5, 572.

    Google Scholar 

  • Guglielmi, A. V.: 1971,J. Eksperim. Theor. Phys. Lett. 13, 85.

    Google Scholar 

  • Guglielmi, A. V.: 1973,Geomagnetizm i Aeronomiya 13, 128.

    Google Scholar 

  • Guglielmi, A. V.: 1974,Space Sci. Rev. 16, 331.

    Google Scholar 

  • Guglielmi, A. V.: 1979,MHD Waves in the Plasma Environment of the Earth, Nauka, Moscow (in Russian).

    Google Scholar 

  • Guglielmi, A. V.: 1980,Geomagnetizm i Aeronomiya 20, 968.

    Google Scholar 

  • Guglielmi, A. V.: 1985,Geomagnetizm i Aeronomiya 25, 356.

    Google Scholar 

  • Guglielmi, A. V.: 1988,Geomagnetizm i Aeronomiya 28, 272.

    Google Scholar 

  • Guglielmi, A. V.: 1989,Soviet Phys. Usp. 32(8), 678.

    Google Scholar 

  • guglielmi, A. V.: 1992,Izv. Akad. Nauk Russia, Ser. Fiz. Zemli 7, 35.

    Google Scholar 

  • Guglielmi, A. V. and Repin, V. N.: 1978,Geomagnetizm i Aeronomiya 18, 1089.

    Google Scholar 

  • Guglielmi, A. V. and Repin, V. N.: 1981,Geomagnetizm i Aeronomiya 21, 214.

    Google Scholar 

  • Guglielmi, A. V. and Troitskaya, V. A.: 1973,Geomagnetic Pulsations and Diagnostics of the Magnetosphere, Nauka, Moscow (in Russian).

    Google Scholar 

  • Guglielmi, A. V., Bondarenko, N. M., and Repin, V. N.: 1978,Dokl. Acad. Sci. USSR 240, 47 (in Russian).

    Google Scholar 

  • Guglielmi, A. V., Klain, B. I., and Polyakov, A. R.: 1983a,Geomagnetizm i Aeronomiya 23, 630.

    Google Scholar 

  • Guglielmi, A. V., Klain, A. I., Potapov, A. S., and Polyakov, A. R.: 1983b,Research Geomagn., Aeron. Solar Phys. 66, 38.

    Google Scholar 

  • Guglielmi, A. V., Polyushkina, T. N., and Potapov, A. S.: 1985,Research Geomagn., Aeron. Solar Phys. 85, 95 (in Russian).

    Google Scholar 

  • Guglielmi, A. V., Pokhotelov, O. A., Stenflo, L., and Shukla, P. K.: 1993,Astrophys Space Sci. 200, 91.

    Google Scholar 

  • Haerendel, G.: 1983,High Latitude Space Plasma Physics, Plenum Press, New York, p. 515.

    Google Scholar 

  • Hasegawa, A.: 1970,Phys. Rev. 1A, 1746.

    Google Scholar 

  • Hasegawa, A.: 1976,J. Geophys. Res. 81, 5083.

    Google Scholar 

  • Hasegawa, A. and Chen, L.: 1974,Space Sci. Rev. 16, 347.

    Google Scholar 

  • Hasegawa, A. and Mima, K.: 1976,Phys. Rev. Letters 37, 690.

    Google Scholar 

  • Hasegawa, A. and Mima, K.: 1978,Phys. Fluids 21, 87.

    Google Scholar 

  • Hesegawa, A. and Wakatani, M.: 1983,Phys. Fluids 26, 2770.

    Google Scholar 

  • Horton, W., Tajima, T., and Kamimura, T.: 1987,Phys. Fluids 30, 3485.

    Google Scholar 

  • Hundhausen, A. J.: 1972,Coronal Expansion and Solar Wind, Springer-Verlag, Heidelberg.

    Google Scholar 

  • Ivanov, V. N. and Pokhotelov, O. A.: 1987,Soviet J. Plasma Phys. 14(10), 694.

    Google Scholar 

  • Jacobs, J. A.: 1970,Geomagnetic Micropulsations, Springer-Verlag, Berlin.

    Google Scholar 

  • Kadomtsev, B. B.: 1976,Collective Phenomena in Plasma, Nauka, Moscow (in Russian).

    Google Scholar 

  • Kadomtsev, B. B. and Pogutze, O. P.: 1974,Soviet Phys. JETP 38(2), 283.

    Google Scholar 

  • Kaladze, T. D., Marchenko, V. A., Pokhotelov, O. A., and Petviashvili, V. I.: 1987,Plasma Phys. Controlled Fusion 29, 589.

    Google Scholar 

  • Kaladze, T. D., Petviashvili, V. I., and Pokhotelov, O. A.: 1968,Soviet Phys. JETP 64(1), 62.

    Google Scholar 

  • Kalisher, A. L.: 1975,Geomagnetizm i Aeronomiya 15, 952.

    Google Scholar 

  • Kalisher, A. L. and Klain, B. I.: 1986,Geomagnetizm i Aeronomiya 26, 865.

    Google Scholar 

  • Kalisher, A. L. and Polyakov, A. R.: 1984,Geomagnetizm i Aeronomiya 24, 772.

    Google Scholar 

  • Kennel, C. F. and Petschek, H. E.: 1966,J. Geophys. Res. 71, 1.

    Google Scholar 

  • Kimura, I.: 1974,Space Sci. Rev. 16, 389.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1984,Electrodynamics of continuous Media, Pergamon Press, Oxford.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1986,Fluid Mechanics, Pergamon Press, Oxford.

    Google Scholar 

  • Lanzerotti, L. J.: 1978,Antarctic Research Series 29, 130.

    Google Scholar 

  • Lanzerotti, L. J. and Southwood, D. J.: 1979,Solar System Plasma Physics, North-Holland Publ. Co., Amsterdam, Vol. 3, p. 109.

    Google Scholar 

  • Lanzerotti, L. J., Russell, C. T., Wolfe, A., Maclennan, C. G., Medford, L. V., and Lepping, R. P.: 1989,J. Geophys. Res. 94, 6933.

    Google Scholar 

  • Leontyev, S. V. and Lyatsky, V. B.: 1982,Planetary Space Sci. 30, 1.

    Google Scholar 

  • Lundin, R. and Eliasson, L.: 1991,Ann. Geophys. 9, 202.

    Google Scholar 

  • Mio, K., Ogino, T., Minami, K., and Takeda, S.: 1976,J. Phys. Soc. Japan 41, 265.

    Google Scholar 

  • Mjølhus, E.: 1976,J. Plasma Phys. 16, 321.

    Google Scholar 

  • Nambu, M.: 1974,Space Sci. Rev. 16, 427.

    Google Scholar 

  • Nishida, A.: 1978,Geomagnetic Diagnosis of the Magnetosphere, Springer-Verlag, Berlin.

    Google Scholar 

  • Olsen, R. C.: 1992,J. Geophys. Res. 97(A2), 1135.

    Google Scholar 

  • Parker, E. N.: 1963,Interplanetary Dynamical Processes, John Wiley and Sons, New York.

    Google Scholar 

  • paschman, G., Sckopke, N., Bame, S. J., Asbridge, J. R., Gosling, J. T., Russell, C. T., and Greenstandt, E. W.: 1979,Geophys. Res. Lett. 6, 209.

    Google Scholar 

  • Petviashvili, V. I. and Pokhotelov, O. A.: 1977,Soviet Phys. JETP 46(2), 260.

    Google Scholar 

  • Petviashvili, V. I. and Pokhotelov, O. A.: 1986,Soviet J. Plasma Phys. 12(9), 651.

    Google Scholar 

  • Petviashvili, V. I. and Pokhotelov, O. A.: 1992,Solitary Waves in Plasmas and in the Atmosphere, Gordon and Breach, London.

    Google Scholar 

  • Petviashvili, V. I., Pokhotelov, O. A., and Chudin, N. V.: 1982,Soviet Phys. JETP 55(6), 1056.

    Google Scholar 

  • Petviashvili, V. I., Pokhotelov, O. A., and Stenflo, L.: 1986,Soviet J. Plasma Phys. 12(8), 545.

    Google Scholar 

  • Pitaevsky, L. P.: 1961,Soviet Phys. JETP 12(5), 1009.

    Google Scholar 

  • Pokhotelov, O. A.: 1977,Physica Solariterrestris 4, 15.

    Google Scholar 

  • Polyakov, S. V., Rapoport, V. O., and Trakhtengertz, V. Yu.: 1981, preprint No. 23, Institute Applied Physics, Acad. Sci. USSR, Gorky.

  • Polyakov, A. R. and Potapov, A. S.: 1989,Geomagnetizm i Aeronomiya 29, 921.

    Google Scholar 

  • Polyuskhina, T. N. and Potapov, A. S.: 1983,Research Geomagn., Aeron. Solar Phys. 66, 54 (in Russian).

    Google Scholar 

  • Poole, A. W. V., Sutcliffe, P. R., and Walker, A. D. M.: 1988,J. Geophys. Res. 93, 14656.

    Google Scholar 

  • Raspopov, O. M., Chernous, S. A., and Pokhotelov, O. A.: 1978,Pulsating Particle Fluxes in the Magnetosphere and in the Ionosphere, Nauka, Leningrad (in Russian).

    Google Scholar 

  • Russell, C. T. and Hoppe, M. M.: 1983,Space Sci. Rev. 34, 155.

    Google Scholar 

  • Russell, C. T. and Thorne, R. M.: 1970,Cosmic Electrodynamics 1, 67.

    Google Scholar 

  • Saito, T.: 1969,Space Sci. Rev. 10, 319.

    Google Scholar 

  • Sato, T.: 1978,J. Geophys. Res. 83, 1042.

    Google Scholar 

  • Singer, H. J., Russell, C. T., and Kivelson, M. G.: 1977,Geophys. Res. Letters 4, 377.

    Google Scholar 

  • Slawinski, R., Venkatesan, D., Wolfe, A., Lanzerotti, L. J., and Mclennan, C. G.: 1988,Geophys. Res. Letters 15, 1275.

    Google Scholar 

  • Strauss, N. R.: 1976,Phys. Fluids 19, 134.

    Google Scholar 

  • Stenflo, L.: 1990,Phys. Scripta 41, 686.

    Google Scholar 

  • Takahashi, K., McEntire, R. W., Lui, A. T., and Potemra, T. A.: 1990,J. Geophys. Res. 95, 3717.

    Google Scholar 

  • Thorne, R. M.: 1974,Space Sci. Rev. 16, 443.

    Google Scholar 

  • Trakhtengertz, V. Yu. and Feldstein, Ya. A.: 1987,Geomagnetizm i Aeronomiya 27, 315.

    Google Scholar 

  • Troitskaya, V. A. and Guglielmi, A. V.: 1967,Space Sci. Rev. 7, 689.

    Google Scholar 

  • Verö, J., Hollo, L., Potapov, A. S., and Polyushkina, T. N.: 1985,J. Atmospheric Terrest. Phys. 47, 557.

    Google Scholar 

  • Vinogradov, P. A. and Parchomov, V. A.: 1975,Geomagnetizm i Aeronomiya 15, 135.

    Google Scholar 

  • Washimi, H. and Karpman, V. I.: 1976,Soviet Phys. JETP 44(3), 528.

    Google Scholar 

  • Whitham, J. B.: 1974,Linear and Nonlinear Waves, Wiley Interscience Publ., New York.

    Google Scholar 

  • Wolfe, A.: 1980,J. Geophys. Res. 85, 5977.

    Google Scholar 

  • Wolfe, A., Lanzerotti, L. J., Maclennan, C. G., Slawinski, R., and Venkatesan, D.: 1985,Electromagnetic Coupling in the Polar Clefs and Caps, Kluwer Academic Publishers, Dordrecht, Holland, p. 207.

    Google Scholar 

  • Wolfe, A., Meloni, A., Lanzerotti, L. J., Maclennan, C. G., Bamber, J., and Venkatesan, D.: 1985,J. Geophys. Res. 90, 5117.

    Google Scholar 

  • Wolfe, A., Uberoi, C., Russell, C. T., Lanzerotti, L. J., Maclennan, C. G., and Medford, L. V.: 1989,Planetary Space Sci. 37, 1317.

    Google Scholar 

  • Yumoto, K.: 1986,J. Geophys. 60, 79.

    Google Scholar 

  • Zakharov, V. E., Manakov, S. V., Novikov, C. P., and Pitaevsky, L. P.: 1986,Theory of Solitons, Nauka, Moscow (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics of the Earth, 123810, Moscow, Russia

    A. Guglielmi & O. Pokhotelov

Authors
  1. A. Guglielmi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Pokhotelov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guglielmi, A., Pokhotelov, O. Nonlinear problems of physics of the geomagnetic pulsations. Space Sci Rev 65, 5–57 (1993). https://doi.org/10.1007/BF00749761

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00749761

Keywords

Search

Navigation