On the internal boundary condition's problem for the parker's transport equation of galactic cosmic rays

Physics

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Scientific paper

Parker's 2-dimentional transport equation has been numerically solved to investigate the influence of the different radial internal boundary conditions on the expected distributions of the density of galactic cosmic rays. The radial internal boundary conditions, obtained from the physical assumptions, 0 0 = ∂ ∂ =rr n and 0 1 = ∂ ∂ =rrr n (where n is relative density of galactic cosmic rays and r and r1 are the relative radial distances from the Sun) and 0 0 ≠ ∂ ∂ =rr n , obtained from the Parker's transport equation (with the singular point , r = 0) have been considered. The numerical solutions of the transport equation with drift for the different radial internal boundary conditions and for the various ratios of the perpendicular and parallel diffusion coefficients of galactic cosmic rays have been compared. It is concluded that for the solving of the Parker's transport diffusion equation (possessing a singular point, r = 0) one must use the boundary condition, 0 0 ≠ ∂ ∂ =rr n .

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