Anomalous diffusion of the cosmic rays: steady-state solution

Astronomy and Astrophysics – Astrophysics

Scientific paper

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3 pages; Proc. of the 27th ICRC

Scientific paper

We consider the propagation of galactic cosmic rays in the fractal
interstellar medium. Steady state solution of the fractional diffusion
equation, describing cosmic ray propagation, is found. We show that the
exponent of the steady state spectrum turns out to be equal to the exponent of
the cosmic ray spectrum above the "knee", that is approximately equal to 3.1.

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