A theoretical view of the T-web statistical description of the cosmic web

Abstract

The classification of the cosmic web into different environments is both a tool to study in more detail the formation of halos and galaxies via the link between their properties and the large-scale environment and as a class of objects whose statistics contain cosmological information. In this paper, we present an analytical framework to compute the probability of the different environments in the cosmic web based on the T-web formalism that classifies structures in four different classes (voids, walls, filaments, knots) by studying the eigenvalues of the tidal tensor (Hessian of the gravitational potential). This method relies on studying the eigenvalues of the tidal tensor with respect to a given threshold and thus requires the knowledge of the JPDF of those eigenvalues. We perform a change of variables in terms of minimally correlated rotational invariants and we study their distribution in the linear regime of structure formation, and in the quasi-linear regime with the help of a Gram-Charlier expansion and tree-order Eulerian perturbation theory. This expansion allows us to predict the probability of the different environments in the density field at a given smoothing scale as a function of the chosen threshold and redshift. We check the validity of our predictions by comparing those predictions to measurements made in the N-body Quijote simulations. We notably find that scaling the threshold value with the non-linear amplitude of fluctuations allows us to capture almost entirely the redshift evolution of the probability of the environments, even if we assume that the density field is Gaussian (corresponding to the linear regime of structure formation). We also show that adding mild non-Gaussian corrections in the form of third-order cumulants of the field provides even more precise predictions for cosmic web abundances up to scales as small as ~5 Mpc/h and redshifts down to z~0.

arXiv comment16 pages, 5 figures. NB: this version includes a typo correction in equation A.13

References in corpus (53)

• Efficient Computation of CMB anisotropies in closed FRW models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• How Filaments are Woven into the Cosmic Web
• The persistent cosmic web and its filamentary structure I: Theory and implementation
• Properties of Dark Matter Haloes in Clusters, Filaments, Sheets and Voids
• Tracing the cosmic web
• The Quijote simulations
• The Evolution of Dark Matter Halo Properties in Clusters, Filaments, Sheets and Voids
• A Dynamical Classification of the Cosmic Web
• Multiscale Phenomenology of the Cosmic Web
• Connecting the cosmic web to the spin of dark halos: implications for galaxy formation
• Spin alignment of dark matter haloes in filaments and walls
• The Multiscale Morphology Filter: Identifying and Extracting Spatial Patterns in the Galaxy Distribution
• The Three Hundred project: a large catalogue of theoretically modelled galaxy clusters for cosmological and astrophysical applications
• Galaxy evolution in the metric of the Cosmic Web
• A kinematic classification of the cosmic web
• Tracing the Dark Matter Sheet in Phase Space
• The Spine of the Cosmic Web
• Constraining Peaks in Gaussian Primordial Density Fields: an Application of the Hoffman-Ribak Method
• The velocity shear tensor: tracer of halo alignment
• Skewness Induced by Gravity
• The three dimensional skeleton: tracing the filamentary structure of the universe
• ORIGAMI: Delineating Halos using Phase-Space Folds
• Galaxy orientation with the cosmic web across cosmic time
• On the connectivity of the cosmic web: theory and implications for cosmology and galaxy formation
• Voids as a Precision Probe of Dark Energy
• Non-Gaussian statistics of critical sets in 2 and 3D: Peaks, voids, saddles, genus and skeleton
• Constraining the Dark Energy Equation of State with Cosmic Voids
• Tree structure of the percolating Universe
• The Local Theory of the Cosmic Skeleton
• The fully connected N-dimensional skeleton: probing the evolution of the cosmic web
• Non-Gaussian Minkowski functionals & extrema counts in redshift space
• The effect of cosmic web filaments on the properties of groups and their central galaxies
• The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D
• Caught in the cosmic web: Environmental effect on halo concentrations, shape, and spin
• The cosmic web of the Local Universe: cosmic variance, matter content and its relation to galaxy morphology
• Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams
• Galaxy properties and the cosmic web in simulations
• Caustic Skeleton & Cosmic Web
• The large-scale environment from cosmological simulations I: The baryonic cosmic web
• Kurtosis of Large-Scale Cosmic Fields
• The multi-stream flows and the dynamics of the cosmic web
• The Evolving Effect Of Cosmic Web Environment On Galaxy Quenching
• Hydrodynamical simulations of coupled and uncoupled quintessence models I: Halo properties and the cosmic web
• Cosmology with cosmic web environments I. Real-space power spectra
• Kinematic Morphology of Large-scale Structure: Evolution from Potential to Rotational Flow
• Comparing cosmic web classifiers using information theory
• Cosmic Web Dissection in Fuzzy Dark Matter Cosmologies
• The four cosmic tidal web elements from the $\beta$-skeleton
• Cosmological Filaments in the light of Excursion Set of Saddle Points
• Lagrangian Methods Of Cosmic Web Classification
• Tidal shear and the consistency of microscopic Lagrangian halo approaches
• Statistical exploration of halo anisotropic clustering and intrinsic alignments with the mass-Peak Patch algorithm

Cited by in corpus (2)

• GrAviPaSt's Lens to the Past: Unveiling the Evolution of Filamentary Structures
• A universal and physically motivated threshold for Hessian-based cosmic web identification: V-Web case