Culminating the peak CUSP to descry the dark side of halos

Abstract

The ConflUent System of Peak trajectories (CUSP) is a rigorous formalism in the framework of the peak theory that allows one to derive from first principles andno free parameters the typical halo properties from the statistics of peaks in the filtered Gaussian random field of density perturbations. The predicted halo mass function, spherically averaged density, velocity dispersion, velocity anisotropy, ellipticity, prolateness and potential profiles, as well as the abundance and number density profiles of accreted and stripped subhalos and diffuse dark matter accurately recover the results of cosmological $N$-body simulations. CUSP is thus a powerful tool for the calculation, in any desired hierarchical cosmology with Gaussian perturbations, of halo properties beyond the mass, redshift and radial ranges covered by simulations. More importantly, CUSP unravels the origin of the characteristic features of those properties. In the present Paper we culminate its construction. We show that all halo properties but those related with subhalo stripping are independent of the assembly history of those objects, and that the Gaussian is the only smoothing window able to find the finite collapsing patches while properly accounting for the entropy increase produced in major mergers.

22 pages, 6 figures. Published in the ApJ. Minor corrections with respect to the published version

References in corpus (8)

• Dark matter and cosmic structure
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• On Universal Halos and the Radial Orbit Instability
• Caught in the cosmic web: Environmental effect on halo concentrations, shape, and spin
• The nature of dark matter and the density profile and central behavior of relaxed halos
• The discreteness-driven relaxation of collisionless gravitating systems: entropy evolution and the Nyquist-Shannon theorem
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Cited by in corpus (9)

• The Universal Specific Merger Rate of Dark Matter Halos
• An Accurate Comprehensive Approach to Substructure: I. Accreted Subhaloes
• An Accurate Comprehensive Approach to Substructure: II. Stripped Subhaloes
• An Accurate Comprehensive Approach to Substructure: III. Masses and Formation Times of the Host Haloes
• Accurate Analytic Mass-Scale Relations for Dark Matter Haloes of all Masses and Redshifts
• Lyman-$\alpha$ Emitting Galaxies (LAEs) at Cosmic Dawn: Implications and Predictions
• An Accurate Comprehensive Approach to Substructure: IV. Dynamical Friction
• Segmenting proto-halos with vision transformers
• The role of energy shear in the collapse of protohaloes