  Using the high-resolution HR-DEMNUni simulations, we computed neutrino
profiles within virialized dark matter haloes. These new high-resolution
simulations allowed us to revisit fitting formulas proposed in the literature
and provided updated fitting parameters that extend to less massive haloes and
lower neutrino masses than previously in the literature, in accordance with new
cosmological limits. The trend we observe for low neutrino masses is that, for
dark matter halo masses below $\sim 4\times10^{14}$$h^{-1}M_\odot$, the
presence of the core becomes weaker and the profile over the whole radius is
closer to a simple power law. We also characterized the neutrino density
profile dependence on the solid angle within clustered structures: a
forward-backward asymmetry larger than 10% was found when comparing the density
profiles from neutrinos along the direction of motion of cold dark matter
particles within the same halo. In addition, we looked for neutrino wakes
around halo centres produced by the peculiar motion of the halo itself. Our
results suggest that the wakes effect is observable in haloes with masses
greater than $3\times10^{14}$ $h^{-1}M_\odot$ where a mean displacement of
$0.06$\hmpc was found.
