Abstract
The equation for the two-particles cosmic-ray distribution function is derived by means of the Boltzmann kinetic equation averaging. This equation is valid for arbitrary ratio of regular and random parts of the magnetic field. For small energy particles the guiding-center approximation is used. On the basis of the derived equation the dependence between power spectra of cosmic-ray intensity and random magnetic field is obtained. If power spectra are degree functions for high energy particles (≈ 10 GeV nucleon−1), then the spectral exponent υ of magnetic field lies between ϱ and ϱ−2, where ϱ is the spectral exponent of cosmic-ray power spectra. The experimental data concerning moderate energy particles are in accordance with υ=ϱ, which demonstrates that the magnetic fluctuations are isotropic or cosmic-ray space gradient is small near the Earth orbit.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Attolini, M. R., Galli, M., and Guidi, J.: 1976,Planet. Space Sci. (in press).
Chandrasekhar, S., Kaufman, A., and Watson, K.: 1958,Ann. Phys. 5, 1.
Coleman, P. J.: 1968,Astrophys. J. 153, 371.
Coleman, P. J., Smith, E. J., Davis, L., and Jones, D. E.: 1969,J. Geophys. Res. 74, 2827.
Dolginov, A. Z. and Toptygin, I. N.: 1966,ZETF 51, 1771.
Dorman, L. I. and Katz, M. E.: 1973, Proceedings of the V Leningrad International Seminar, p. 311.
Fujii, Z., Mori, S., Yasue, S., and Nagashima, K.: 1973, 13th Int. Cosmic Ray Conf., p. 783.
Galperin, B. A., Toptygin, I. N., and Fradkin, A. A.: 1971,ZETF 60, 972.
Gorchakov, E. V., Timofeev, G. A., and Morosova, T. I.: 1975,Geomagn. Aeronomy 15, 1083.
Lanzerotti, L. J., Robbins, M. F., and Venkatesan, D.: 1973, 13th Int. Cosmic Ray Conf., p. 789.
McDonald, F. B., Lae, N., Teegarden, B. J., Trianor, J. H., and Webber, W. R.: 1975, 14th Int. Cosmic Ray Conf., Vol. 4, ‘Pioneer-Symposium’.
McKibbin, R. B., Pyle, K. R., Simpson, J. A., Tuzzolino, A. J., and O'Gallagher, J. J.: 1975,ibid., 14th Int. Cosmic Ray Conf., Vol. 4, ‘Pioneer-Sympoium’.
Owens, A. J.: 1974,J. Geophys. Res. 79, 895.
Owens, A. J. and Jokipii, J. R.: 1974,J. Geophys. Res. 79, 907.
Sari, J. W. and Ness, N. F.: 1969,Solar Phys. 8, 155.
Siscoe, G. L., Davis, L., Coleman, P. J., Smith, E. J., and Jones, D. E.: 1968,J. Geophys. Res. 73, 61.
Shishov, V. I.: 1968,ZETF 55, 1449.
Toptygin, I. N.: 1973,Astrophys. Space Sci. 20, 351.
Vedenov, A. A., Velichov, E. P., and Sagdeev, R. Z.: 1962,Jadernyjsintez priloshen. 2, 465.
Williams, D. J.,: 1969,Proc. Int. Seminar, p. 87.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Toptygin, I.N., Vasilijev, V.N. On the interplanetary cosmic-ray scintillations. Astrophys Space Sci 48, 267–281 (1977). https://doi.org/10.1007/BF00648115
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00648115