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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/102492
Analytic derivation of non-linear dark matter clustering from the filtering of the primordial density field
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[eng] In this Thesis, we show how the properties of dark matter halos can be directly derived from the proper filtering of the primordial density field through the use of the CUSP formalism (ConflUent System of Peak trajectories). Although the CUSP formalism was first proposed in 1995, it was still incomplete. In the present Thesis we give a general overview of the formalism, explaining its theoretical grounds and how it can be used to derive the typical properties of relaxed dark matter halos. We prove the existence of a one-to-one correspondence between halos and peaks despite the ellipsoidal collapse of peaks and we also show that halos formed through major mergers and accretion have the same properties, dependent on the properties of the respective progenitor peaks at the largest scale. We also apply the CUSP formalism to study the growth of halos, showing that they grow inside-out. We also derive practical analytical expressions for the mass-concentration-shape NFW and Einasto relations over the whole mass and redshift range. Finally, we have applied the CUSP formalism to study the halo mass and multiplicity functions, and their dependence on the exact mass definition used. We have shown that the FoF(0.2) halo finding algorithm is equivalent to the spherical virial overdensity one, which explains the privileged linking length equal to 0.2; we have shown why the virial radii of halos are close to the top-hat radii described by the spherical collapse model, and why the halo mass function is so close to the Press-Shechter form and, lastly, we have explained why the halo multiplicity function is closely universal in the two equivalent cases mentioned before.
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JUAN ROVIRA, Enric. Analytic derivation of non-linear dark matter clustering from the filtering of the primordial density field. [consulta: 24 de novembre de 2025]. [Disponible a: https://hdl.handle.net/2445/102492]