Galactic angular momenta and angular momentum couplings in the large-scale structure

Abstract

In this paper, we revisit the acquisition of angular momentum of galaxies by tidal shearing and compute the angular momentum variance as well as the angular momentum correlation function CL(r), using tidal torquing in the Zel’dovich approximation as the model for angular momentum build‐up. Under the assumption that haloes form at peaks in the density field we determine the protohalo’s inertia from the peak shape and embed it in a tidal field. Inertia and shear are drawn from a random process and we compute the angular momentum variance and correlation function by sampling from a Gaussian distribution which shows the correct covariances between all relevant quantities. We describe the way in which the correlations in angular momentum result from an interplay of long‐ranged correlations in the tidal shear and short‐ranged correlations in the inertia field. Our description takes care of the relative orientation of the eigensystems of these two symmetric tensors. We propose a new form of the angular momentum correlation function which is able to distinguish between parallel and antiparallel alignment of angular momentum vectors, and comment on implications of intrinsic alignments for weak lensing measurements. We confirm the scaling L/M ∝ M2/3 and find the angular momentum distribution of Milky Way sized haloes to be correlated on scales of ∼1 Mpc h−1. The correlation function can be well fitted by an empirical relation of the form CL(r) ∝ exp(−[r/r0]β).

The non-Gaussian distribution of galaxy gravitational fields

“…In this sence our approach is the improvement of those considered by Schäfer & Merkel (2012), , Catelan & Theuns (1996a), Lee & Pen (2002), where the "mean" tidal interaction with the entire environment has been considered.…”

“…Note, that within tidal torque model the M 5/3 -law has been first obtained by Heavens & Peacock (1988) while reasonable values for lambda in Eq. (11) within the tidal torque approach has been derived by Schäfer & Merkel (2012), who followed Heavens & Peacock (1988).…”

Shear and vorticity in the spherical collapse of dark matter haloes

“…and Y lm are the spherical harmonics. With this we obtain a linear relation (Schäfer & Merkel 2012) between y n lm and the tidal field values ψ ,i j…”

Statistical separation of weak gravitational lensing and intrinsic ellipticities based on galaxy colour information

“…The amount of correlation in the orientation of the galactic discs corresponds determined from the realisation corresponds to the theoretically computed correlation function. Ellipticity correlations between spiral galaxies are rather short-ranged, with a typical correlation length of about 1 Mpc/h (Schaefer & Merkel 2012), which makes them a small-scale phenomenon at angular scales of 10 3 for Gpc-scale surveys.…”