Simulations of cosmic-ray propagation in linear and nonlinear modulation theory

Mathematics

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Cosmic Rays, Galactic Radiation, Interplanetary Space, Modulation, Anisotropic Media, Deceleration, Mathematical Models, Particle Diffusion, Solar Wind

Scientific paper

Spatial-temporal variations in the three-dimensional anisotropy vector are computed for different models of galactic-cosmic-ray propagation in interplanetary space. The linear theory of cosmic-ray modulation is used to consider a model of anisotropic diffusion in the presence of latitudinal and longitudinal solar-wind asymmetries as well as the spherically symmetric anisotropic-diffusion model. Nonlinear modulation theory is employed to examine a spherically symmetric model of anisotropic diffusion and to evaluate the effect of cosmic-ray focusing in an asymmetric model. The linear theory indicates that the anisotropy vector and cosmic-ray fluxes become more asymmetric with increasing distance from the sun and that the amplitude of 27-day cosmic-ray variations increases for increasing values of the modulation parameter. The nonlinear results show that the nonlinear interaction between the solar wind and cosmic-ray fluxes causes the solar wind to decelerate at large distances from the sun.

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