Analytical solution of 3-D cosmic-ray diffusion in the Galaxy with boubdaryless halo (I) one component model -

Details Analytical solution of 3-D cosmic-ray diffusion in the Galaxy with boubdaryless halo (I) one component model - Analytical solution of 3-D cosmic-ray diffusion in the Galaxy with boubdaryless halo (I) one component model -

Aug 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001icrc....5.1933s&link_type=abstract

Proceedings of the 27th International Cosmic Ray Conference. 07-15 August, 2001. Hamburg, Germany. Under the auspices of the Int

Physics

Scientific paper

We show an analytical solution of three dimensional cosmic-ray diffusion, taking into account a rather realistic structure of our Galaxy, where we assume, 1) D(r, z) = D0 exp[r/rD + |z|/zD], 2) n(r, z) = n0 exp[-(r/rn+|z|/zn)], and 3) s(r, z) = s0 exp[-(r/rs+ |z|/zs)], i.e., three critical parameters, the diffusion coefficient D, gas density n and the cosmic-ray source density s depending on both radial distance r from the disk center and the perpendicular distance z from the galactic plane. We also present the path-length distribution and its average value, based on the present analytical solution.

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