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Magnetic field reconnection theory and the solar wind — Magnetosphere interaction: A review

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Abstract

This review considers the theory of the magnetic field line reconnection and its application to the problem of the interaction between the solar wind and the Earth's magnetosphere. In particular, we discuss the reconnection models by Sonnerup and by Petschek (for both incompressible and compressible plasmas, for the asymmetric and nonsteady-state cases), the magnetic field annihilation model by Parker; Syrovatsky's model of the current sheet; and Birn's and Schindler's solution for the plasma sheet structure. A review of laboratory and numerical modelling experiments is given.

Results concerning the field line reconnection, combined with the peculiarities of the MHD flow, were used in investigating the solar wind flow around the magnetosphere. We found that in the presence of a frozen-in magnetic field, the flow differs significantly from that in a pure gas dynamic case; in particular, at the subsolar. part of the magnetopause a ‘stagnation’ line appears (i.e., a line along which the stream lines are branching) instead of a stagnation point. The length and location of the stagnation line determine the character of the interaction of the solar wind with the Earth's magnetosphere. We have developed the theory of that interaction for a steady-state case, and compare the results of the calculations with the experimental data.

In the last section of the review, we propose a qualitative model of the solar wind — the Earth's magnetosphere interaction in the nonsteady-state case on the basis of the solution of the problem of the spontaneous magnetic field line reconnection.

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References

  • Akasofu, S.-I.: 1972, in E. R. Dyer (ed.), Solar Terrestrial Physics, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • Akasofu, S.-I.: 1977, Physics of Magnetospheric Substorms, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • Akasofu, S.-I. and Chapman, S.: 1972, Solar-terrestrial Physics, Clarendon Press, Oxford.

    Google Scholar 

  • Akhiezer, A. I., Akhiezer, I. A., Polovin, R. V., Sitenko, A. G., and Stepanov, K. N.: 1975, Plasma Electrodynamics, Pergamon Press, Oxford.

    Google Scholar 

  • Alfvén, H.: 1976, J. Geophys. Res. 81, 4019.

    Google Scholar 

  • Alfvén, H.: 1977, Rev. Geophys. Space Phys. 15, 271.

    Google Scholar 

  • Alksne, A. Y.: 1967, Planet. Space Sci. 15, 239.

    Google Scholar 

  • Alksne, A. Y.: 1970, Planet. Space Sci. 18, 1203.

    Google Scholar 

  • Andrews, M. U., Keppler, E., and Daly, P. W.: 1981, J. Geophys. Res. 86, 7543.

    Google Scholar 

  • Atkinson, G.: 1967, J. Geophys. Res. 72, 5373.

    Google Scholar 

  • Aubry, M. P., Russell, C. T., and Kivelson, M. G.: 1970, J. Geophys. Res. 75, 7018.

    Google Scholar 

  • Baranov, V. B. and Krasnobaev, K. V.: 1977, Hydrodynamic Theory of Space Plasma, Moscow (in Russian).

  • Baum, P. J. and Bratenahl, A.: 1974a, J. Plasma Phys. 11, 93.

    Google Scholar 

  • Baum, P. J. and Bratenahl, A.: 1974b, Phys. Fluids 17, 1232.

    Google Scholar 

  • Baum, P. J. and Bratenahl, A.: 1977, J. Plasma Phys. 18, 257.

    Google Scholar 

  • Bernikov, L. V. and Semenov, V. S.: 1979, Geomagn. Aeronomy 19, 671 (in Russian).

    Google Scholar 

  • Birn, J.: 1979, J. Geophys. Res. 84, 5143.

    Google Scholar 

  • Birn, J.: 1980, J. Geophys. Res. 85, 1214.

    Google Scholar 

  • Birn, J. and Hones, E. W.: 1981, J. Geophys. Res. 86, 6802.

    Google Scholar 

  • Birn, J., Sommer, R. R., and Schindler, K.: 1977, J. Geophys. Res. 82, 141.

    Google Scholar 

  • Bogdanov, S. Yu., Markov, V. S., Syrovatsky, S. I., Frank, A. G., and Hodzhaev, A. Z.: 1980, Izv. AN SSSR, Phys. Ser. 44, 2469 (in Russian).

    Google Scholar 

  • Brushlinskii, K. V., Zaborov, A. M., and Syrovatsky, S. I.: 1980, Soviet Plasma Phys. 6, 297 (in Russian).

    Google Scholar 

  • Bulanov, S. V. and Sasorov, P. V.: 1978, Soviet Phys. Plasma 4, 746 (in Russian).

    Google Scholar 

  • Bulanov, S. V., Sasorov, P. V., and Syrovatsky, S. I.: 1979, Paper presented at XI Leningrad Symposium on Space Physics.

  • Cattell, C. A., Kim, M., Lin, R. P., and Mozer, F. S.: 1982, Geophys. Res. Letters 9, 539.

    Google Scholar 

  • Cowley, S. W. H.: 1974a, J. Plasma Phys. 12, 319.

    Google Scholar 

  • Cowley, S. W. H.: 1974b, J. Plasma Phys. 12, 341.

    Google Scholar 

  • Cowley, S. W. H.: 1975, J. Plasma Phys. 14, 475.

    Google Scholar 

  • Crooker, N. U., Siscoe, G. L., Mullen, P. R., Russell, C. T., and Smith, E. J.: 1982, J. Geophys. Res. 87, 10407.

    Google Scholar 

  • Dmittrieva, N. P. and Sergeev, V. A.: 1983, Geomagn. Aeronomy 23, 518 (in Russian).

    Google Scholar 

  • Dubrovin, B. A., Novikov, S. P., and Fomenko, A. T.: 1979, Modern Geometry, Nauka, Moscow (in Russian).

    Google Scholar 

  • Dungey, J. W.: 1961, Phys. Rev. Letters 6, 47.

    Google Scholar 

  • Erkaev, N. V.: 1981, Dep. VINITI No. 3253 Dep. 55 pp. (in Russian).

  • Fairfield, D. H. and Mead, G. D.: 1975, J. Geophys. Res. 80, 535.

    Google Scholar 

  • Flanders, H.: 1963, Differential Forms with Applications to the Physical Sciences, Academic Press, New York.

    Google Scholar 

  • Forbes, T. G., Hones, Jr., B. W., and Bame, S. J., et al.: 1981, J. Geophys. Res. 86, 3459.

    Google Scholar 

  • Forbes, T. G. and Priest, E. R.: 1982, Solar Phys. 81, 303.

    Google Scholar 

  • Forbes, T. C. and Priest, E. R.: 1983, J. Geophys. Res. 88, 863.

    Google Scholar 

  • Formisano, V., Domingo, V., and Wensel, K. P.: 1979, Planet. Space Sci. 27, 1137.

    Google Scholar 

  • Frank, A. G.: 1974, in Neutral Current Sheet in Plasma, Trudy FIAN, Nauka, p. 108 (in Russian).

  • Frank, L. A.: 1971, J. Geophys. Res. 76, 5202.

    Google Scholar 

  • Galeev, A. A.: 1978, Report M.6.4. at STP Symposium, Insbruck, Austria.

  • Galeev, A. A. and Zeleny, L. M.: 1978, in Theoretical and Computational Plasma Physics, International Atomic Energy Agency, Vienna, Austria.

    Google Scholar 

  • Gekelman, W. and Stenzel, R. L.: 1981, J. Geophys. Res. 86, 659.

    Google Scholar 

  • Hayashi, T. and Sato, T.: 1978, J. Geophys. Res. 83, 217.

    Google Scholar 

  • Heikkila, W. J.: 1975, Geophys. Res. Letters 12, 154.

    Google Scholar 

  • Hirasawa, T. and Nagata, T.: 1972, JARE Sci. Rept. A., No. 10, 28 pp.

  • Hones, E. W.: 1973, Radio Sci. 8, 979.

    Google Scholar 

  • Horwitz, J. L. and Akasofu, S.-I.: 1979, J. Geophys. Res. 184, 2567.

    Google Scholar 

  • Kindel, J. M. and Kennel, C. F.: 1971, J. Geophys. Res. 76, 3055.

    Google Scholar 

  • Kirii, N. P., Markov, V. S., and Syrovatsky, S. I.: 1979, in Flare Process in Plasma, Trudy FIAN, Vol. 110, Nauka, p. 121 (in Russian).

  • Korn, G. A. and Korn, T. M.: 1961, Mathematical Handbook for Scientists and Engineers, McGraw-Hill Book Co. Inc., New York, Toronto, London.

    Google Scholar 

  • Kovner, M. S. and Feldstein, Ya. I.: 1973, Planet. Space Sci. 21, 1191.

    Google Scholar 

  • Kuznetsova, T. V. and Pudovkin, M. I.: 1978, Planet. Space Sci. 26, 229.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1959a, Fluid Mechanics, Pergamon Press, New York.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1959b, Fluid Electrodynamics, Addison-Wesley Publ. Co. Inc., Reading, Mass.

    Google Scholar 

  • Lees, L.: 1964, AIAA J. 2, 1576.

    Article  MATH  Google Scholar 

  • Levy, R. H., Petschek, H. E., and Siscoe, G. L.: 1964, AIAA J. 2, 2065.

    Google Scholar 

  • Lyatsky, V. B. and Maltsev, Yu. P.: 1983, Magnetosphere-Ionosphere Interaction, M., Nauka (in Russian).

  • Liperovsky, V. A. and Pudovkin, M. I.: 1983, Anomalous Resistivity and Double Layers in the Magnetospheric Plasma, M., Nauka (in Russian).

  • Maezawa, K.: 1974, Planet. Space Sci. 22, 1443.

    Google Scholar 

  • Maezawa, K.: 1976, J. Geophys. Res. 81, 2289.

    Google Scholar 

  • McPherron, R. L.: 1970, J. Geophys. Res. 75, 5592.

    Google Scholar 

  • Misner, C. W., Thorne, K. S., and Wheeler, J. A.: 1973, Gravitation, W. H. Freeman and Co., San Francisco, Vol. 1.

    Google Scholar 

  • Mitchell, H. G. and Kan, J. R.: 1978, Plasma Phys. 20, 31.

    Google Scholar 

  • Morfill, G. and Scholer, M.: 1972, J. Geophys. Res. 77, 4021.

    Google Scholar 

  • Mozer, F. S., Cattel, C. A., and Temerin, M. et al.:1979, J. Geophys. Res. 84, 5875.

    Google Scholar 

  • Nishida, A., Hayakawa, H., and Hones, Jr., E. W.: 1981, J. Geophys. Res. 86, 1422.

    Google Scholar 

  • Ohyabu, N. and Kawashima, N.: 1972, J. Phys. Soc. Japan 35, 496.

    Google Scholar 

  • Papadopoulos, U. A.: 1977, Rev. Geophys. Space Phys. 15, 113.

    Google Scholar 

  • Parker, E. N.: 1963, Astrophys. J. Suppl. Ser. 8, 177.

    Google Scholar 

  • Parker, E. N.: 1973, Plasma Phys. 9, 49.

    Google Scholar 

  • Paschmann, G., Sonnerup, B. U. Ö., and Papamastorakis et al.: 1979, Nature 282, 243.

    Google Scholar 

  • Petschek, H. E.: 1964, AAS-NASA Symposium on the Physics of Solar Flares, NASA Spec. Publ., SP-50, 425 pp.

  • Pivovarov, V. G. and Erkaev, N. V.: 1978, Interaction of Solar Wind with the Earth's Magnetosphere, Novosibirsk, Nauka (in Russian).

    Google Scholar 

  • Podgorny, A. I. and Syrovatsky, S. L.: 1979, in Flare Process in Plasma, Trudy FIAN, Vol. 110, Nauka, p. 33 (in Russian).

  • Podgorny, I. M. and Sagdeev, R. Z.: 1969, U.F.N. 98, 409 (in Russian).

    Google Scholar 

  • Polovin, R. V. and Akhiezer, I. A.: 1959, Ukr. Phys. J. 4, 677 (in Russian).

    Google Scholar 

  • Prandtl, L.: 1904, Verhand. d III Internat. Mathem. Kongr., Heidelberg.

  • Priest, E. R.: 1981, in E. R. Priest (ed.), Solar Flares Magnetohydrodynamics, Gordon and Breach, New York, p. 139.

    Google Scholar 

  • Priest, E. R. and Raadu, M. A.: 1975, Solar Phys. 43, 177.

    Google Scholar 

  • Priest, E. R. and Sonnerup, B. U. Ö.: 1975, Geophys. J. Roy. Astron. Soc. 41, 405.

    Google Scholar 

  • Pudovkin, M. I., Isaev, S. I., and Zaitseva, S. A.: 1970a, Ann. Geophys. 26, 761.

    Google Scholar 

  • Pudovkin, M. I., Raspopov, O. M., and Dmitrieva, L. A., et al.: 1970b, Ann. Geophys. 26, 389.

    Google Scholar 

  • Pudovkin, M. I., Raspopov, O. M., and Kleimenova, N. G.: 1975, Geomagnetic Field Disturbances, Leningrad Univ. Press, Leningrad, Vol. 1.

    Google Scholar 

  • Pudovkin, M. I. and Semenov, V. S.: 1977a, Ann. Geophys. 33, 429.

    Google Scholar 

  • Pudovkin, M. I. and Semenov, V. S.: 1977b, Ann. Geophys. 33, 423.

    Google Scholar 

  • Pudovkin, M. I., Zaitseva, S. A., and Kuznetsova, T. V.: 1981a, Preprint IZMIRAN No. 14 (in Russian).

  • Pudovkin, M. I., Zaitseva, S. A., and Kuznetsova, T. V.: 1981b, Preprint IZMIRAN No. 15 (in Russian).

  • Pudovkin, M. I., Zaitseva, S. A., and Kuznetsova, T. V.: 1981c, Preprint IZMIRAN No. 24 (in Russian).

  • Pudovkin, M. I., Heyn, M. F., and Lebedeva, V. V.: 1982, J. Geophys. Res. 87, 8131.

    Google Scholar 

  • Reiff, P. H., Spiro, R. W., and Hill, T. W.: 1981, J. Geophys. Res. 86, 7639.

    Google Scholar 

  • Quest, K. B. and Coroniti, F. V.: 1981, J. Geophys. Res. 86, 3289.

    Google Scholar 

  • Saito, T., Sakurai, K., and Koyama, Y.: 1976, J. Atmos. Terr. Phys. 38, 1265.

    Google Scholar 

  • Sato, T.: 1979, J. Geophys. Res. 84, 7177.

    Google Scholar 

  • Sato, T. and Hayashi, T.: 1979, Phys. Fluids 22, 1189.

    Google Scholar 

  • Sato, T., Matsumoto, H., and Nagai, K.: 1981, J. Geophys. Res. 87, 6089.

    Google Scholar 

  • Schindler, K. and Birn, J.: 1982, J. Geophys. Res. 87, 2263.

    Google Scholar 

  • Schindler, K.: 1979, Space Sci. Rev. 23, 365.

    Google Scholar 

  • Sedov, L. I.: 1973, Fluid Mechanics, Vol. 1, Nauka, Moscow (in Russian).

    Google Scholar 

  • Semenov, V. S.: 1979, Geomagnetic Res. 24, 32 (in Russian).

    Google Scholar 

  • Semenov, V. S. and Bernikov, L. V.: 1979, Geomagnetic Res. 26, 40 (in Russian).

    Google Scholar 

  • Semenov, V. S. and Kubyshkin, I. V.: 1981, Paper presented at 4th IAGA Sci. Assembly, Edinburgh.

  • Semenov, V. S. and Kubyshkin, I. V.: 1984, Geomagn. Aeronomy 24, 766 (in Russian).

    Google Scholar 

  • Semenov, V. S. and Pudovkin, M. I.: 1978, Geomagnetic Res. 23, 66 (in Russian).

    Google Scholar 

  • Semenov, V. S. and Sergeev, V. A.: 1981, Planet. Space Sci. 24, 271.

    Google Scholar 

  • Semenov, V. S., Kubyshkin, I. V., and Heyn, M. F.: 1983a, J. Plasma Phys. 30, 303.

    Google Scholar 

  • Semenov, V. S., Kubyshkin, I. V., Heyn, M. F., and Biernat, H. K.: 1983b, J. Plasma Phys. 30, 321.

    Google Scholar 

  • Semenov, V. S., Heyn, M. F., and Kubyshkin, I. V.: 1983c, Soviet Astron. J. 60, 1138 (in Russian).

    Google Scholar 

  • Semenov, V. S., Vasilyev, E. P., and Pudovkin, A. I.: 1984, Geomagn. Aeronomy 24, 448 (in Russian).

    Google Scholar 

  • Sergeev, V. A.: 1981, J. Geophysics 49, 176.

    Google Scholar 

  • Sergeev, V. A. and Tsyganenko, N. A.: 1980, The Earth's Magnetosphere, Nauka, Moscow (in Russian).

    Google Scholar 

  • Sergeev, V. A., Bösinger, T., and Lui, A. T. Y.: 1985, J. Geophysics, in press.

  • Shen, W. W.: 1972, Cosmic Electrodynamics 2, 381.

    Google Scholar 

  • Siscoe, G. and Crooker, N. A.: 1974, Geophys. Res. Letters 1, 17.

    Google Scholar 

  • Smith, D. F.: 1977, J. Geophys. Res. 82, 704.

    Google Scholar 

  • Somov, B. V. and Syrovatsky, S. I.: 1974, in ‘Neutral Current Sheets in Plasma’, Trudy FIAN 74, 14 (in Russian).

    Google Scholar 

  • Sonnerup, B. U. Ö.: 1970, J. Plasma Phys. 4, 161.

    Google Scholar 

  • Sonnerup, B. U. Ö.: 1979, in S.-I. Akasofu (ed.), Transport Mechanisms of the Magnetosphere, D. Reidel Publ. Co., Dordrecht, Holland, p. 77.

    Google Scholar 

  • Sonnerup, B. U. Ö. and Priest, E. R.: 1975, J. Plasma Phys. 14, 283.

    Google Scholar 

  • Sonnerup, B. U. Ö., Paschmann, G., and Papamastorakis, I., et al.: 1981, J. Geophys. Res. 86, 10049.

    Google Scholar 

  • Soward, A. M.: 1982, J. Plasma Phys. 28, 415.

    Google Scholar 

  • Soward, A. M. and Priest, E. R.: 1977, Phil. Trans. Roy. Soc. London A284, 369.

    Google Scholar 

  • Soward, A. M. and Priest, E. R.: 1982, J. Plasma Phys. 28, 355.

    Google Scholar 

  • Spreiter, J. R. and Alksne, A. Y.: 1967, Rev. Geophys. 7, 11.

    Google Scholar 

  • Spreiter, J. R., Summers, A. L., and Alksne, A. Y.: 1966, Planet. Space Sci. 14, 223.

    Google Scholar 

  • Stenzel, R. L., and Gekelman, W.: 1981, J. Geophys. Res. 86, 649.

    Google Scholar 

  • Stenzel, R. L., Gekelman, W., and Wild, N.: 1982, J. Geophys. Res. 87, 111.

    Google Scholar 

  • Stern, D. P.: 1975, Prepr. X-602-75-17, Goddard Space Flight Center.

  • Stern, D. P.: 1977, Rev. Geophys. Space Phys. 15, 156.

    Google Scholar 

  • Sweet, P. A.: 1958, in B. Lehnert (ed.), Electrodynamic Phenomena in Cosmical Physics, Cambridge Univ. Press, London, p. 123.

    Google Scholar 

  • Syrovatsky, S. I.: 1971, ZETF 33, 933 (in Russian).

    Google Scholar 

  • Syrovatsky, S. I.: 1979a, Izv. AN SSSR, Phys. Ser. 43, 695 (in Russian).

    Google Scholar 

  • Syrovatsky, S. I.: 1979b, in ‘Flare Process in Plasma’, Trudy FIAN 110, 5 (in Russian).

    Google Scholar 

  • Syrovatsky, S. I.: 1981, Ann. Rev. Astron. Astrophys. 19, 163.

    Google Scholar 

  • Tsuda, T. and Ugai, M.: 1977, J. Plasma Phys. 18, 451.

    Google Scholar 

  • Tsyganenko, N. A. and Zaitseva, S. A.: 1979, Geomagnetic Res. 25, 61 (in Russian).

    Google Scholar 

  • Tur, T. Y. and Priest, E. R.: 1976, Solar Phys. 48, 89.

    Google Scholar 

  • Ugai, M.: 1981, J. Plasma Phys. 25, 89.

    Google Scholar 

  • Ugai, M. and Tsuda, T.: 1977, J. Plasma Phys. 17, 337.

    Google Scholar 

  • Vasyliunas, V. M.: 1975, Rev. Geophys. Space Phys. 13, 303.

    Google Scholar 

  • Vasyliunas, V. M.: 1976, in B. M. McCormac (ed.), Magnetospheric Particles and Fields, D. Reidel Publ. Co., Dordrecht, Holland, p. 99.

    Google Scholar 

  • Yang, C. K. and Sonnerup, B. U. Ö.: 1976, Astrophys. J. 206, 570.

    Google Scholar 

  • Yang, C. K. and Sonnerup, B. U. Ö.: 1977, J. Geophys. Res. 82, 699.

    Google Scholar 

  • Yeh, T.: 1976, J. Geophys. Res. 81, 2140.

    Google Scholar 

  • Yeh, T. and Axford, W. I.: 1970, J. Plasma Phys. 4, 207.

    Google Scholar 

  • Yeh, T. and Dryer, H.: 1973, Astrophys. J. 182, 301.

    Google Scholar 

  • Zeleny, L. M., Lipatov, A. S., Lominadze, D. G., and Taktakishvili, A. L.: 1982, Preprint 697, Space Res. Inst., Moscow.

  • Zwan, B. J. and Wolf, R. A.: 1976, J. Geophys. Res. 81, 1636.

    Google Scholar 

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Pudovkin, M.I., Semenov, V.S. Magnetic field reconnection theory and the solar wind — Magnetosphere interaction: A review. Space Sci Rev 41, 1–89 (1985). https://doi.org/10.1007/BF00241346

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