Perturbation theory in Lagrangian hydrodynamics for a cosmological fluid with velocity dispersion

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Author: TATEKAWA, Takayukiほか

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Publication date: 2002-09

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Note (General)：: 出版タイプ： AOWe extensively develop a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. We so...

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Material Type: その他
Title: Perturbation theory in Lagrangian hydrodynamics for a cosmological fluid with velocity dispersion
Author/Editor: TATEKAWA, Takayuki
SUDA, Momoko
MAEDA, Kei-ichi
MORITA, Masaaki
ANZAI, Hiroki
Author Heading: TATEKAWA, Takayuki
SUDA, Momoko
MAEDA, Kei-ichi
MORITA, Masaaki
ANZAI, Hiroki
Publication Date: 2002-09
Publication Date (W3CDTF): 2002
Periodical title: Physical review. [Series III.] D
No. or year of volume/issue: 66
Volume: 66
Pages: 64014-
ISSN (Periodical Title): ISSN : 1089-4918
Subject Heading: cosmology
perturbation
large-scale structure
Target Audience: 一般
Note (General): 出版タイプ： AO
We extensively develop a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. We solve the hydrodynamic equations for a self-gravitating fluid with pressure, given by a polytropic equation of state, using a perturbation method up to second order. This perturbative approach is an extension of the usual Lagrangian perturbation theory for a pressureless fluid, in view of the inclusion of the pressure effect, which should be taken into account on the occurrence of velocity dispersion. We obtain the first-order solutions in generic background universes and the second-order solutions in a wider range of a polytropic index, whereas our previous work gives the first-order solutions only in the Einstein?de Sitter background and the second-order solutions for the polytropic index 4/3. Using the perturbation solutions, we present illustrative examples of our formulation in one- and two-dimensional systems, and discuss how the evolution of inhomogeneities changes for the variation of the polytropic index.
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 福井大学 : 福井大学学術機関リポジトリ