Higher-order Lagrangian perturbative theory for the Cosmic Web

Takayuki Tatekawa*, Shuntaro Mizuno

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Publication statusPublished - 2014
Externally publishedYes


  • large-scale structure of universe
  • methods: analytical

ASJC Scopus subject areas

  • Astronomy and Astrophysics


Dive into the research topics of 'Higher-order Lagrangian perturbative theory for the Cosmic Web'. Together they form a unique fingerprint.

Cite this