The influence of extended source distributions on cosmic ray spectral index variations in the galactic wind model

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmic Rays, Interstellar Matter, Radiation Spectra, Magnetohydrodynamic Flow, Radiation Transport, Radio Sources (Astronomy), Transport Theory

Scientific paper

The solution of the steady-state transport equation describing the propagation of relativistic electrons perpendicular to the galactic plane in a galactic wind is discussed for extended electron source distributions. The wind velocity is assumed to be zero in the plane and to increase with galactic height. The electrons undergo simultaneous diffusion, convection, adiabatic deceleration, radiative losses, and injection. The resulting spectra are contrasted with those derived for an infinitely thin source distribution, and the dependence of the variation of the spectral index inside the source distribution on the form of this distribution in any transport model is discussed. Apart from a new region at very small energies the asymptotic spectra outside the source distribution agree with those of the line-source model. Inside the source distribution the spectral index break is doubled from 0.5 to 1.0.

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