The transport equation for charged particles in the solar wind

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Charged Particles, Cosmic Rays, Interplanetary Magnetic Fields, Particle Acceleration, Solar Wind, Transport Theory, Laplace Transformation, Partial Differential Equations

Scientific paper

An investigation is conducted of an idea reported by Jokipii et al. (1977) that the inclusion of particle drifts into the transport equation for cosmic rays yields a version of the theory which is in better agreement with experimental radial gradients. The Boltzmann equation for the distribution function is analyzed in the dipole approximation. The derived equations are compared with the spherical symmetric versions of the typical transport equations. The relative magnitudes of the terms in the derived equations are considered, and an exact solution of the equations with specified initial and boundary conditions is obtained.

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