Modelling non-linear large scale structure using Lagrangian perturbation theory re-expansions

7th International Conference on Gravitation and Cosmology

Nadkarni-Ghosh, S.^1,2 ; Chernoff, D.F.^3

Department of Theoretical Sciences, S. N. Bose NCBS, Kolkata 700098, India^1

Department of Physics, Indian Institute of Technology, Kanpur 208016, India^2

Department of Astronomy, Cornell University, Ithaca, NY 14850, United States^3

关键词: Finite time;    Initial conditions;    Large scale structures;    Non linear;    Nonlinear growth;    Perturbation theory;    Random fields;    Re-expansion;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/484/1/012043/pdf
DOI  :  10.1088/1742-6596/484/1/012043

来源: IOP

【 摘 要 】

Lagrangian perturbation theory (LPT) has been widely used to model the nonlinear growth of large scale structure analytically. However, the LPT series converges only for a finite time. In recent work, the authors have examined this issue in great detail, and proposed a new algorithm (called LPT re-expansions), to extend the domain of validity of the series. This article outlines the main ideas of the algorithm, first developed for the spherical top-hat system, and later generalized to deal with inhomogeneous initial conditions arising from random fields.