The cosmic gravity-velocity relation

Andrzej Kudlicki; Michal J. Chodorowski; Michael A. Strauss; Pawel Cieciela̧g

doi:10.1016/S0273-1177(02)00734-2

The cosmic gravity-velocity relation

Andrzej Kudlicki, Michal J. Chodorowski, Michael A. Strauss, Pawel Cieciela̧g

Biochemistry & Molecular Biology

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1 Scopus citations

Abstract

We present a numerical study of the relation between the cosmic peculiar velocity field and the gravitational acceleration field. We show that on mildly non-linear scales (3-10 Mpc Gaussian smoothing), the distribution of the Cartesian coordinates of each of these fields is very well approximated by a Gaussian. In particular, their negentropies are small compared to those of the velocity divergence and density fields. We find that at these scales the relation between the velocity and acceleration fields follows linear theory to high accuracy. The non-linear correction of Kudlicki et al. (2000a) works still better: its reconstruction errors are several times smaller than those of the linear theory approximation.

Original language	English (US)
Pages (from-to)	469-474
Number of pages	6
Journal	Advances in Space Research
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/S0273-1177(02)00734-2
State	Published - 2003

ASJC Scopus subject areas

Aerospace Engineering
Astronomy and Astrophysics
Geophysics
Atmospheric Science
Space and Planetary Science
Earth and Planetary Sciences(all)

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10.1016/S0273-1177(02)00734-2

Cite this

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title = "The cosmic gravity-velocity relation",

abstract = "We present a numerical study of the relation between the cosmic peculiar velocity field and the gravitational acceleration field. We show that on mildly non-linear scales (3-10 Mpc Gaussian smoothing), the distribution of the Cartesian coordinates of each of these fields is very well approximated by a Gaussian. In particular, their negentropies are small compared to those of the velocity divergence and density fields. We find that at these scales the relation between the velocity and acceleration fields follows linear theory to high accuracy. The non-linear correction of Kudlicki et al. (2000a) works still better: its reconstruction errors are several times smaller than those of the linear theory approximation.",

author = "Andrzej Kudlicki and Chodorowski, {Michal J.} and Strauss, {Michael A.} and Pawel Cieciel{\c a}g",

note = "Funding Information: ACKNOWLEDGMENTS We thank Tomek Plewa for his contribution to the numerical code we use and Michat R6$yczka for fruitful and animating discussions. This work was supported by KBN grant 2P-03D-014-19, and NSF grant AST96-16901. The simulations were performed at the Interdisciplinary Centre for Mathematical and Computational Modelling, Pawifiskiego 5A, PL-02-106, Warsaw.",

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doi = "10.1016/S0273-1177(02)00734-2",

language = "English (US)",

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pages = "469--474",

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TY - JOUR

T1 - The cosmic gravity-velocity relation

AU - Kudlicki, Andrzej

AU - Chodorowski, Michal J.

AU - Strauss, Michael A.

AU - Cieciela̧g, Pawel

N1 - Funding Information: ACKNOWLEDGMENTS We thank Tomek Plewa for his contribution to the numerical code we use and Michat R6$yczka for fruitful and animating discussions. This work was supported by KBN grant 2P-03D-014-19, and NSF grant AST96-16901. The simulations were performed at the Interdisciplinary Centre for Mathematical and Computational Modelling, Pawifiskiego 5A, PL-02-106, Warsaw.

PY - 2003

Y1 - 2003

N2 - We present a numerical study of the relation between the cosmic peculiar velocity field and the gravitational acceleration field. We show that on mildly non-linear scales (3-10 Mpc Gaussian smoothing), the distribution of the Cartesian coordinates of each of these fields is very well approximated by a Gaussian. In particular, their negentropies are small compared to those of the velocity divergence and density fields. We find that at these scales the relation between the velocity and acceleration fields follows linear theory to high accuracy. The non-linear correction of Kudlicki et al. (2000a) works still better: its reconstruction errors are several times smaller than those of the linear theory approximation.

AB - We present a numerical study of the relation between the cosmic peculiar velocity field and the gravitational acceleration field. We show that on mildly non-linear scales (3-10 Mpc Gaussian smoothing), the distribution of the Cartesian coordinates of each of these fields is very well approximated by a Gaussian. In particular, their negentropies are small compared to those of the velocity divergence and density fields. We find that at these scales the relation between the velocity and acceleration fields follows linear theory to high accuracy. The non-linear correction of Kudlicki et al. (2000a) works still better: its reconstruction errors are several times smaller than those of the linear theory approximation.

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U2 - 10.1016/S0273-1177(02)00734-2

DO - 10.1016/S0273-1177(02)00734-2

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VL - 31

SP - 469

EP - 474

JO - Advances in Space Research

JF - Advances in Space Research

SN - 0273-1177

IS - 2

ER -

The cosmic gravity-velocity relation

Abstract

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