Erratum: The Zel'dovich approximation
Martin J. White · Monthly Notices of the Royal Astronomical Society · 2015
This year marks the 100 th anniversary of the birth of Yakov Zel'dovich.Amongst his many legacies is the Zel'dovich approximation for the growth of large-scale structure, which remains one of the most successful and insightful analytic models of structure formation.We use the Zel'dovich approximation to compute the two-point function of the matter and biased tracers, and compare to the results of N-body simulations and other Lagrangian perturbation theories.We show that Lagrangian perturbation theories converge well and that the Zel'dovich approximation provides a good fit to the N-body results except for the quadrupole moment of the halo correlation function.We extend the calculation of halo bias to 3 rd order and also consider non-local biasing schemes, none of which remove the discrepancy.We argue that a part of the discrepancy owes to an incorrect prediction of inter-halo velocity correlations.We use the Zel'dovich approximation to compute the ingredients of the Gaussian streaming model and show that this hybrid method provides a good fit to clustering of halos in redshift space down to scales of tens of Mpc.