Chasing the nonlinear evolution of matter power spectrum with a numerical resummation method: Solution of closure equations
Chasing the nonlinear evolution of matter power spectrum with a numerical resummation method: Solution of closure equations
复制标题
用数值求和法追踪物质功率谱的非线性演化：闭包方程的解
DOI：
10.1103/physrevd.79.103526
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发表时间：
2009
影响因子：
5
通讯作者：
A. Taruya
中科院分区：
文献类型：
--
作者：
T. Hiramatsu;A. Taruya
本文提出了一种新的数值方法来处理宇宙学功率谱的非线性演化。物质功率谱的控制方程已经推导出封闭近似的非微扰技术。由此产生的封闭方程的解决方案，只是对应于一个无限类的摄动修正的重新确认，他们一贯地再现标准微扰理论的单圈结果。我们开发了一个数值算法来解决封闭演化在微扰和非微扰制度。本数值方案特别适合于检查非线性物质的功率谱在一般的宇宙学模型，包括修改后的引力理论。作为示范，我们研究了一类修正引力模型以及各种暗能量模型中功率谱的弱非线性演化。
We present a new numerical scheme to treat the nonlinear evolution of cosmological power spectra. Governing equations for matter power spectra have been previously derived by a nonperturbative technique with closure approximation. Solutions of the resultant closure equations just correspond to the resummation of an infinite class of perturbation corrections, and they consistently reproduce the one-loop results of standard perturbation theory. We develop a numerical algorithm to solve closure evolutions in both perturbative and nonperturbative regimes. The present numerical scheme is particularly suited for examining nonlinear matter power spectrum in general cosmological models, including modified theory of gravity. As a demonstration, we study weakly nonlinear evolution of power spectrum in a class of modified gravity models, as well as various dark energy models.