Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996apj...465..972p&link_type=abstract
Astrophysical Journal v.465, p.972
Astronomy and Astrophysics
Astronomy
16
Ism: Cosmic Rays, Diffusion, Methods: Analytical
Scientific paper
The weighted slab approximation has been used for many years as an approximation to the solution of the full equation for the interstellar propagation of cosmic-ray nuclei. The method has the advantage that the full propagation equation is separated into two independent equations, one for the nuclear physics, the slab model, and one for the astrophysics, the path length distribution or weights. This method is exact (at least for particles with the same charge to mass ratio) in the extreme relativistic regime where energy loss can be neglected but is known to be inaccurate when energy loss is not negligible. In this paper we describe an approach to extending the utility of this technique into regimes where energy change cannot be neglected. Using this method we can show that for the "leaky box" model or models employing diffusion with no convection the weighted slab approximation can give exact solutions only if the escape time or diffusive mean free path is a separable function of position and energy per nucleon (or rigidity).
Jones Frank C.
Ormes Jonathan F.
Ptuskin Vladimir S.
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