The quasi-gaussian density-velocity relationship

Francis Bernardeau

doi:10.1086/186372

The quasi-gaussian density-velocity relationship

Francis Bernardeau

Research output: Contribution to journal › Article › peer-review

Abstract

We derive the exact relationship between the density and the divergence of the velocity field, including all nonlinear features, in the case of an infinitely small variance. The result is found to be very close to δ_ν = 3Ω^0.6/2 [1 - (1 + δ)^2/3], where δ_ν is the divergence of the velocity field (in units of H₀). However, possible departures may appear due to the smoothing procedures used in practical determinations of this relationship. This correction is specified for the quadratic term and is seen to be small.

Original language	English
Pages (from-to)	L61-L64
Journal	Astrophysical Journal
Volume	390
Issue number	2 PART 2
DOIs	https://doi.org/10.1086/186372
Publication status	Published - 10 May 1992
Externally published	Yes

Keywords

Cosmology: theory
Large-scale structure of the universe

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10.1086/186372

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N2 - We derive the exact relationship between the density and the divergence of the velocity field, including all nonlinear features, in the case of an infinitely small variance. The result is found to be very close to δν = 3Ω0.6/2 [1 - (1 + δ)2/3], where δν is the divergence of the velocity field (in units of H0). However, possible departures may appear due to the smoothing procedures used in practical determinations of this relationship. This correction is specified for the quadratic term and is seen to be small.

AB - We derive the exact relationship between the density and the divergence of the velocity field, including all nonlinear features, in the case of an infinitely small variance. The result is found to be very close to δν = 3Ω0.6/2 [1 - (1 + δ)2/3], where δν is the divergence of the velocity field (in units of H0). However, possible departures may appear due to the smoothing procedures used in practical determinations of this relationship. This correction is specified for the quadratic term and is seen to be small.

KW - Cosmology: theory

KW - Large-scale structure of the universe

UR - https://www.scopus.com/pages/publications/0009789733

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DO - 10.1086/186372

M3 - Article

AN - SCOPUS:0009789733

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VL - 390

SP - L61-L64

JO - Astrophysical Journal

JF - Astrophysical Journal

IS - 2 PART 2

ER -

The quasi-gaussian density-velocity relationship

Abstract

Keywords

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