Beyond the lognormal approximation: a general simulation scheme

Author:

Tosone Federico12,Neyrinck Mark C345ORCID,Granett Benjamin R67ORCID,Guzzo Luigi678,Vittorio Nicola12

Affiliation:

1. Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy

2. INFN Sezione di Roma Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy

3. Ikerbasque, The Basque Foundation for Science

4. Department of Theoretical Physics, University of the Basque Country, 48080, Bilbao, Spain

5. Donostia International Physics Center, 20018, San Sebastián, Spain

6. Dipartimento di Fisica, Università degli Studi di Milano, Via G. Celoria 16, I-20133 Milano, Italy

7. INAF–Osservatorio Astronomico di Brera, Via Brera 28, I-20122 Milano, Italy

8. INFN Sezione di Milano, Via G. Celoria 16, I-20133 Milano, Italy

Abstract

ABSTRACT We present a public code to generate random fields with an arbitrary probability distribution function (PDF) and an arbitrary correlation function. The algorithm is cosmology independent and applicable to any stationary stochastic process over a three-dimensional grid. We implement it in the case of the matter density field, showing its benefits over the lognormal approximation, which is often used in cosmology for the generation of mock catalogues. We find that the covariance of the power spectrum from the new fast realizations is more accurate than that from a lognormal model. As a proof of concept, we also apply the new simulation scheme to the divergence of the Lagrangian displacement field. We find that information from the correlation function and the PDF of the displacement–divergence provides modest improvement over other standard analytical techniques to describe the particle field in the simulation. This suggests that further progress in this direction should come from multiscale or non-local properties of the initial matter distribution.

Funder

Agenzia Spaziale Italiana

Eusko Jaurlaritza

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

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