  The statistical properties of ions in two-dimensional fully developed
turbulence have been compared between two different numerical algorithms. In
particular, we compare Hybrid Particle In Cell (hybrid PIC with fluid
electrons) and full PIC simulations, focusing on particle diffusion and
acceleration phenomena. To investigate several heliospheric plasma conditions,
a series of numerical simulations has been performed by varying the plasma
$\beta$ - the ratio between kinetic and magnetic pressure. These numerical
studies allow the exploration of different scenarios, going from the solar
corona (low $\beta$) to the solar wind ($\beta \sim 1$), as well as the Earth's
magnetosheath (high $\beta$). It has been found that the two approaches compare
pretty well, especially for the spectral properties of the magnetic field and
the ion diffusion statistics. Small differences among the models have been
found regarding the electric field behaviour at sub-ion scales and the
acceleration statistics, due evidently to the more consistent treatment of the
plasma in the full PIC approach.
