Anisotropy of ultra-high-energy cosmic rays in the single-source diffusion model

The anisotropy of ultra-high-energy (E > 1018 eV) cosmic rays is studied in the single-pulsed-source diffusion model. It is shown that for short duration of the production pulse (instantaneous source) the anisotropy decreases with increasing energy. The increase in anisotropy with energy for longer duration is not as significant as in stationary diffusion models. A model of the origin of the ultra-high-energy (E > 1018-1019 eV) cosmic rays is considered where they are generated in a nearby active galactic nucleus (NGC4151 or Cen A). The spectra and their anisotropies are calculated in these models. The anisotropy may be at most 10-20% for E ∼1019 eV