Diffusion of Cosmic Rays in Expanding Universe. (I)

Abstract

We present an analytic solution to diffusion equation for high energy cosmic rays in the expanding universe. The particles are assumed to be ultra-relativistic and they can have energy losses arbitrarily dependent on energy and time. The obtained solution generalizes the Syrovatsky solution, valid for the case when energy losses and diffusion coefficient are time-independent.

The version with some changes, in the form accepted for publication in Ap.J

References in corpus (2)

• Extra-galactic magnetic fields and the second knee in the cosmic-ray spectrum
• Anti-GZK effect in Ultra High Energy Cosmic Rays diffusive propagation

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