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Higher-order Lagrangian perturbative theory for the Cosmic Web

Published online by Cambridge University Press:  12 October 2016

Takayuki Tatekawa  and
Shuntaro Mizuno
Takayuki Tatekawa
Affiliation:
Center for Infromation Initiative, University of Fukui, 3-9-1 Bunkyo, Fukui, Fukui, 910-8507, Japan email: [email protected] Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo, 169-8555, Japan
Shuntaro Mizuno
Affiliation:
Waseda Institute for Advanced Study, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku, Tokyo, 169-8050, Japan
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Abstract

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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 universemethods: analytical
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 11 , Symposium S308: The Zeldovich Universe: Genesis and Growth of the Cosmic Web , June 2014 , pp. 119 - 120
Copyright
Copyright © International Astronomical Union 2016 

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