Ultrahigh energy cosmic ray probes of large scale structure and magnetic fields

摘要: We study signatures of a structured universe in the multi-pole moments, auto-correlation function, and cluster statistics ultrahigh energy cosmic rays above ${10}^{19}\mathrm{eV}.$ compare scenarios where sources are distributed homogeneously or according to baryon density distribution obtained from cosmological large scale structure simulation. The influence extragalactic magnetic fields is studied by comparing case negligible with expected be produced along shocks maximal strength consistent observations. confirm that strongly magnetized observers would predict considerable anisotropy on scales, which already conflict current data. In best fit scenario only magnetized, although deflection can still considerable, order $20\ifmmode^\circ\else\textdegree\fi{}$ up ${10}^{20}\mathrm{eV},$ pronounced GZK cutoff predicted. then discuss for future full-sky detectors such as Pierre Auger EUSO projects. Auto-correlations sensitive source if do not significantly affect propagation. contrast, weakly observer, degree auto-correlations below certain level indicate discrete sources. It may difficult even next generation experiments distinguish between unstructured distributions.