Higher-order Lagrangian perturbative theory for the Cosmic Web

Takayuki Tatekawa, Shuntaro Mizuno

Research output: Contribution to journalArticle

Abstract

Zel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.

Original languageEnglish
Pages (from-to)119-120
Number of pages2
JournalProceedings of the International Astronomical Union
Volume11
DOIs
Publication statusPublished - 2014
Externally publishedYes

Fingerprint

perturbation theory
perturbation
simulation
universe

Keywords

  • large-scale structure of universe
  • methods: analytical

ASJC Scopus subject areas

  • Astronomy and Astrophysics

Cite this

Higher-order Lagrangian perturbative theory for the Cosmic Web. / Tatekawa, Takayuki; Mizuno, Shuntaro.

In: Proceedings of the International Astronomical Union, Vol. 11, 2014, p. 119-120.

Research output: Contribution to journalArticle

Tatekawa, Takayuki ; Mizuno, Shuntaro. / Higher-order Lagrangian perturbative theory for the Cosmic Web. In: Proceedings of the International Astronomical Union. 2014 ; Vol. 11. pp. 119-120.
@article{402219ab3c464aaf9fc2382040579906,
title = "Higher-order Lagrangian perturbative theory for the Cosmic Web",
abstract = "Zel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.",
keywords = "large-scale structure of universe, methods: analytical",
author = "Takayuki Tatekawa and Shuntaro Mizuno",
year = "2014",
doi = "10.1017/S1743921316009728",
language = "English",
volume = "11",
pages = "119--120",
journal = "Proceedings of the International Astronomical Union",
issn = "1743-9213",
publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Higher-order Lagrangian perturbative theory for the Cosmic Web

AU - Tatekawa, Takayuki

AU - Mizuno, Shuntaro

PY - 2014

Y1 - 2014

N2 - Zel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.

AB - Zel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.

KW - large-scale structure of universe

KW - methods: analytical

UR - http://www.scopus.com/inward/record.url?scp=84991290264&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84991290264&partnerID=8YFLogxK

U2 - 10.1017/S1743921316009728

DO - 10.1017/S1743921316009728

M3 - Article

AN - SCOPUS:84991290264

VL - 11

SP - 119

EP - 120

JO - Proceedings of the International Astronomical Union

JF - Proceedings of the International Astronomical Union

SN - 1743-9213

ER -