The Zel'dovich approximation

By M. White. 2014

101 citations recorded by the source corpus.

Author(s): White, M | Abstract: This year marks the 100th 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 third 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 haloes in redshift space down to scales of tens of Mpc. © 2014 The Author Published by Oxford University Press on behalf of the Royal Astronomical Society.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

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Citations in the corpus

Learning to predict the cosmological structure formation (2018, methodology): “It is accurate when the displacement is small, therefore ZA is frequently used to construct the initial conditions ofN -body simulations (56).”
Baryon acoustic oscillations in the Lyα forest of BOSS DR11 quasars (2014, methodology): “The default values we adopted are Σ‖ = 6.41 h−1Mpc and Σ⊥ = 3.26 h−1Mpc, which are inferred from the amplitude of the variation of linear peculiar velocities along the line of sight that cause a relative displacement of pixel pairs contributing to the BAO peak form (White, 2014).”
Ingredients for 21 cm Intensity Mapping (2018, methodology): “The first order LPT solution is the well known Zeldovich approximation (ZA) (Zel’dovich 1970; White 2014), for which we can simply write PHI = b 2 HIPZA(k) +N (28) and then fit for the two free parameters in the above equation.”
Redshift-space distortions in Lagrangian perturbation theory (2020, background): “This is true for the density statistics [21, 22, 42, 46, 77].”
PRIMORDIAL BLACK HOLE FORMATION IN THE MATTER-DOMINATED PHASE OF THE UNIVERSE (2016, background): “See White (2014) and references therein for its validity, application, and limitation.”
Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory (2020, methodology): “In this paper we shall consider 1-loop perturbation theory in both the Eulerian (EPT; [16–27]) and Lagrangian (LPT; [28–39]) formulations, and their extensions as an effective field theories [39–41].”
A Lagrangian effective field theory (2015, background): “We note that the Zeldovich approximation does very well on large scales, as has been noted previously [16, 40].”