Diffusion of cosmic rays at EeV energies in inhomogeneous extragalactic magnetic fields

Understand

Ultra-high energy cosmic rays can propagate diffusively in cosmic magnetic fields.

• When their propagation time is comparable to the age of the universe, a suppression in the flux relative to the case in the absence of magnetic fields will occur.
• In this work we find an approximate parametrization for this suppression for energies below $\sim$ Z EeV using several magnetic field distributions obtained from cosmological simulations of the magnetized cosmic web.
• We assume that the magnetic fields have a Kolmogorov power spectrum with the field strengths distributed according to these simulations.