Propagation and sky distribution of ultra-high energy cosmic rays within the Pierre Auger Observatory
The origin of ultra-high energy cosmic rays remains an enigma of modern physics, which the Pierre Auger Observatory, a detector with a hybrid detection mode and an unprecedented size, will try to solve. The direct observation of the sources of those particles, or of large-scale structures in the sky associated to the sources, is one of the main goals of the observatory. Such observations should also allow to constrain cosmic ray propagation between their sources and the Earth, which is complicated by interactions with low-energy photon backgrounds and deflections in astrophysical magnetic fields. This thesis is made of two parts, in order to observe and modelize the sources of cosmic rays within the Auger Observatory. We begin with an extensive description of the Pierre Auger Observatory, and study the acceptance of its surface detector in order to build accurate sky exposure maps, an essential tool in order to study anisotropies. Then we present methods to search for anisotropies in the sky, and analyze the first two years of Auger data. After a description of the phenomena that can influence the propagation and observation of ultra-high energy cosmic ray sources, we present numerical simulations aiming at predicting observables such as the spectrum, anisotropies and composition measurable by Auger as a function of various astrophysical models. We show that extragalactic magnetic fields can play a crucial role in particular if cosmic rays are partly heavy nuclei. Finally, we show that the propagation of these particles from a nearby source generates secondary fluxes of gamma-rays that could be detected by TeV gamma-ray telescopes.