Abstract
A consistent theory of energy exchange between high-energy charged cosmic-ray particles and the random inhomogeneities of a magnetic field frozen in the moving solar wind plasma is developed. It is shown that the mode of the particle energy variations at a given law of plasma velocity variation in space is determined by the specific form of the particle distribution function. The equation for the density of cosmic-ray energy is obtained. Consideration is given to the generation of a charged particle energy spectrum in the course of multiple scatterings by the random inhomogeneities of the magnetic field.
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References
Axford, W. I.: 1965,Planetary Space Sci. 13, 115.
Babayan, V. Kh. and Dorman, L. I.: 1979,Izv. Akad. Nauk SSSR, Ser. Fiz. 43, 793.
Bateman, H. and Erdélyi, A.: 1965,Higher Transcendental Functions 1, Nauka, Moscow.
Bateman, H. and Erdélyi, A.: 1966,Higher Transcendental Functions 2, Nauka, Moscow.
Batygin, V. V. and Toptygin, I. N.: 1970,Collection of Problems in Electrodynamics, Nauka, Moscow.
Brandt, 1973,Solar Wind, Mir, Moscow.
Courant, R. and Hilbert, D.: 1951,Methods of Mathematical Physics, Nauka, Moscow.
Dolginov, A. Z. and Toptygin, I. N.: 1966,Zh. Experim. Teor. Fiz. 51, 1771.
Dolginov, A. Z. and Toptygin, I. N.: 1967,Geomagnetizm i Aeronomiya 7, 967.
Dolginov, A. Z. and Toptygin, I. N.: 1968,Proc. Vth All-Union Winter School of Cosmophysics, Kola Branch of the USSR Acad. Sci., Apatity, p. 167.
Dorman, L. I.: 1965,Proc. 9th Intern. Cosmic Ray Conf. London 1, 292.
Dorman, L. I.: 1975,Experimental and Theoretical Principles of Cosmic Ray Astrophysics, Nauka, Moscow.
Dorman, L. I., Fedorov, Yu. I., Katz, M. E., and Shakhov, B. A.: 1979a,Proc. 16th Intern. Cosmic Ray Conf. Kyoto 3, 96.
Dorman, L. I., Fedorov, Yu. I., Katz, M. E., and Shakhov, B. A.: 1979b,Proc. 16th Intern. Cosmic Ray Conf. Kyoto 3, 110.
Dorman, L. I., Katz, M. E., and Fedorov, Yu. I.: 1978a,Izv. Akad. Nauk SSSR Ser. Fiz. 42, 978.
Dorman, L. I., Katz, M. E., Fedorov, Yu. I., and Shakhov, B. A.: 1978b,Pis'ma Zh. Experim. Teor. Fiz. 27, 374.
Dorman, L. I., Katz, M. E., Fedorov, Yu. I., and Shakhov, B. A.: 1979a,Coll. Works on Geophysics 88, Kiev, p. 76.
Dorman, L. I., Katz, M. E., Fedorov, Yu. I., and Shakhov, B. A.: 1979b,Izv. Akad. Nauk SSSR Ser. Fiz. 43, 778.
Dorman, L. I., Katz, M. E., Fedorov, Yu. I., and Shakhov, B. A.: 1979c,Space Res. in the Ukraine 13, 58.
Dorman, L. I., Katz, M. E., Fedorov, Yu. I. and Shakhov, B. A.: 1980,Zh. Eksperim. Teor. Fiz. 79, 1267.
Fermi, E.: 1949,Phys. Rev. 75, 1169.
Fisk, L. A.: 1971,J. Geophys. Res. 76, 221.
Gleeson, L. J. and Webb, G. M.: 1978,Astrophys. Space Sci. 58, 21.
Goldstein, M. L., Ramaty, R., and Fisk, L. A.: 1970,Phys. Rev. Letters 24, 1193.
Goldstein, M. L., Fisk, L. A., and Ramaty, R.: 1970,Phys. Rev. Letters 25, 832.
Jokipii, J. R.: 1971,Geophys. Space Phys. 9, 27.
Jokipii, J. R. and Parker, E. N.: 1967,Planetary Space Sci. 15, 1375.
Krymsky, G. A.: 1964,Geomagnetizm i Aeronomiya 4, 977.
Lavrentyev, M. A. and Shabat, B. V.: 1975,Methods of the Theory of the Functions of Complex Variable, Nauka, Moscow.
Landau, L. D. and Lifshits, E. M.: 1973,Field Theory, Nauka, Moscow.
Lebedev, N. N., Skalskaya, I. P., and Uflyand, Ya. S.: 1955,Collected Problems in Mathematical Physics, Goztekhteorizdat, Moscow.
Nikiforov, A. F. and Uvarov, V. V.: 1978,Special Functions in Mathematical Physics, Nauka, Moscow.
Parker, E. N.: 1963,Interplanetary Dynamical Processes, Interscience Publishers, New York-London.
Parker, E. N.: 1965,Planetary Space Sci. 13, 9.
Parker, E. N.: 1966,Planetary Space Sci. 14, 371.
Parker, E. N.: 1967,Planetary Space Sci. 15, 1723.
Tikhonov, A. N. and Samarsky, A. A.: 1965:Equations of Mathematical Physics, Nauka, Moscow.
Urch, I. H. and Gleeson, L. J.: 1972,Astrophys. Space Sci. 17, 426.
Webb, G. H. and Gleeson, L. J.: 1979,Astrophys. Space Sci. 60, 335.
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Dorman, L.I., Katz, M.E., Fedorov, Y.I. et al. Variations of cosmic-ray energy in interplanetary space. Astrophys Space Sci 94, 43–95 (1983). https://doi.org/10.1007/BF00651760
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DOI: https://doi.org/10.1007/BF00651760