Mathematics
Scientific paper
Dec 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ge%26ae..16..953v&link_type=abstract
Geomagnetizm i Aeronomiia, vol. 16, Nov.-Dec. 1976, p. 953-959. In Russian.
Mathematics
2
Diffusion Coefficient, Distribution Functions, Galactic Radiation, Primary Cosmic Rays, Correlation, Green'S Functions, Iterative Solution, Kernel Functions, Kinetic Equations, Operators (Mathematics), Tensors
Scientific paper
A relationship is established between the spectral time-correlation functions of fast particles measured at a point in space and the random magnetic field. The equation describing this relationship is derived on the basis of the Boltzmann kinetic equation. The equation holds for any relationship between the regular and random magnetic field components. Distinctive features of the analysis are the development of a general method for calculating the two-particle distribution function of cosmic rays, which takes into account particle scattering processes; the allowance made for the expansion of the interplanetary plasma and for the associated affects; and the derivation of an implicit relation between the spectral functions of cosmic rays and the magnetic field.
Toptygin Igor N.
Vasilev V. N.
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