TITLE:
Transport in Astrophysics: VI. Ultra-High Energy Cosmic Rays
AUTHORS:
Lorenzo Zaninetti
KEYWORDS:
Cosmic Rays, Particle Diffusion, Random Walks
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.14 No.1,
March
29,
2024
ABSTRACT: Two new solutions of the homogeneous diffusion equation in 1D are derived in the presence of losses and a trigonometric profile for a profile of density. A simulation for the ankle in the energy distribution of cosmic rays (CRs) is provided in the framework of the fine tuning of the involved parameters. A theoretical image for the overall diffusion of CRs in galactic coordinates is provided.