The origin, propagation, and mechanisms of acceleration of the ultra-high
energy cosmic rays (UHECRs) are not yet well understood. Aiming for a better
interpretation of the available experimental data, these data have to be
confronted with theoretical models. A realistic simulation of the propagation
of UHECRs in the universe should take into account all the relevant energy loss
processes due to the interaction with astrophysical backgrounds, as well as the
intervening cosmic magnetic fields. Cosmological effects, such as the redshift
dependence of the photon backgrounds and the adiabatic expansion of the
universe can play an important role in the aforementioned processes. Here we
present results of simulations of the propagation of UHECR through the large
scale structure of the universe considering cosmological and magnetic field
effects simultaneously.Comment: Proceedings of RICAP 2013; 4 pages, 5 figure