Monte Carlo Tracer Particles

The mass function of the dark matter halos in which galaxies are found can be rather well approximated using the excursion set theory. Using this theory, we are able to predict the mass distribution as well as the accretion rates and the formation times of halos. In this work, we have provided an extension to the excursion set theory to account for the anisotropy induced by the cosmic web, and especially the saddle points (center of filaments).
We provide two online representation of the typical density (blue) and the specific accretion rate (red) in the frame of a saddle point of the potential before a Zeldovich boost and after a Zeldovich boost.

See the paper on the arXiv Musso, Cadiou+2018.