Computer Science – Numerical Analysis
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..81..215w&link_type=abstract
Astrophysics and Space Science, vol. 81, no. 1-2, Jan. 1982, p. 215-220. Research supported by the Max-Planck-Gesellschaft zur
Computer Science
Numerical Analysis
4
Cosmic Rays, Diffusion Coefficient, Green'S Functions, Interplanetary Space, Particle Acceleration, Steady State, Convection, Distribution Functions, Numerical Analysis, Particle Motion
Scientific paper
For the cases of (1) a spatial diffusion coefficient with an arbitrary momentum dependence, and (2) an arbitrary spatial dependence of the convection velocity, the one-dimensional steady-state equation of transport for cosmic rays which includes convection, diffusion and adiabatic deceleration is separated. The equation of transport applies to planar, cylindrical and spherical geometries and is illustrated through the generalization, to the case where the convection velocity is a function of position, of the previously obtained, spherically symmetric steady-state Green's functions which describe the propagation of cosmic rays in interplanetary space.
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