A Dynamical Classification of the Cosmic Web

TL;DR

This paper introduces a dynamical method to classify the cosmic web into voids, sheets, filaments, and knots using the deformation tensor, tested on cosmological simulations, and discusses its implications for galaxy formation models.

Contribution

It presents a new dynamical classification algorithm for the cosmic web based on the deformation tensor eigenvalues, validated with N-body simulations.

Findings

Web classification at lambda_th=0.1 matches visual impressions.

Percolation of voids and filaments occurs at lambda_th between 0.2 and 0.4.

Framework enables environmental integration into galaxy formation models.

Abstract

A dynamical classification of the cosmic web is proposed. The large scale environment is classified into four web types: voids, sheets, filaments and knots. The classification is based on the evaluation of the deformation tensor, i.e. the Hessian of the gravitational potential, on a grid. The classification is based on counting the number of eigenvalues above a certain threshold, lambda_th at each grid point, where the case of zero, one, two or three such eigenvalues corresponds to void, sheet, filament or a knot grid point. The collection of neighboring grid points, friends-of-friends, of the same web attribute constitutes voids, sheets, filaments and knots as web objects. A simple dynamical consideration suggests that lambda_th should be approximately unity, upon an appropriate scaling of the deformation tensor. The algorithm has been applied and tested against a suite of (dark matter only) cosmological N-body simulations. In particular, the dependence of the volume and mass filling fractions on lambda_th and on the resolution has been calculated for the four web types. Also, the percolation properties of voids and filaments have been studied. Our main findings are: (a) Already at lambda_th = 0.1 the resulting web classification reproduces the visual impression of the cosmic web. (b) Between 0.2 < lambda_th < 0.4, a system of percolated voids coexists with a net of interconected filaments. This suggests a reasonable choice for lambda_th as the parameter that defines the cosmic web. (c) The dynamical nature of the suggested classification provides a robust framework for incorporating environmental information into galaxy formation models, and in particular the semi-analytical ones.