TITLE:
Transport in Astrophysics: VII. Solar Modulation of the Cosmic Rays
AUTHORS:
Lorenzo Zaninetti
KEYWORDS:
Cosmic Rays, Particle Diffusion, Random Walks
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.14 No.4,
November
5,
2024
ABSTRACT: Two existing solutions for the diffusion of cosmic rays (CRs) are analyzed. The first one is a well-known solution in 3D over an infinite spatial domain and the second one is a 1D solution with an exponential decay initial profile over an infinite spatial domain. For each solution, the temporal evolution of the number of particles at a fixed distance has been analyzed. The anticorrelation between the flux of CRs and the magnetic field at one astronomical unit has been explained by adopting a careful choice of the astrophysical parameters involved.