The quasi-gaussian density-velocity relationship

Francis Bernardeau

doi:10.1086/186372

The quasi-gaussian density-velocity relationship

Francis Bernardeau

Institut Pierre Simon Laplace, CNRS and CEA
Lab. Dir. Sci. Matiere Commsrt. l'E.

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

45 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	L61-L64
journal	Astrophysical Journal
Volume	390
Numéro de publication	2 PART 2
Les DOIs	https://doi.org/10.1086/186372
état	Publié - 10 mai 1992
Modification externe	Oui

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10.1086/186372

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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 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.",

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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.

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KW - Large-scale structure of the universe

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JF - Astrophysical Journal

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The quasi-gaussian density-velocity relationship

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