arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1111.6617astro-ph.COastro-ph.IM
收藏

用宇宙学扰动理论进行线性化

Linearisation with Cosmological Perturbation Theory

F. S. Kitaura, R. E. Angulo

摘要:

提出了一种利用高阶拉格朗日微扰理论(LPT)线性化宇宙质量密度场的新方法。我们证明,一个给定的密度场可以表示为一个线性和非线性分量的总和,这是紧耦合到彼此的潮汐场张量的LPT框架内。线性分量对应于欧拉坐标中的初始密度场,其与总场的平均关系可以近似为对数(为最近试图找到这种分量提供理论支持)。我们还建议使用的线性化方法和连续性方程的组合,找到欧拉和拉格朗日坐标之间的映射。此外,我们注意到,这种方法打开了直接使用高阶LPT的非线性领域的可能性。我们通过将其应用于N体模拟的z~0.5密度场来测试我们的线性化方案。我们发现,线性化的全密度场可以在>~5 h^{-1}Mpc上成功恢复,分布的偏度和峰度分别降低了大约一个和两个数量级。这个分量也可以成功地在时间上追溯,在z~100处朝向初始未演化的密度场收敛。我们预计我们的研究结果的一些应用,从预测速度场的宇宙的初始条件的估计,通过改进的约束来自星系聚类通过重建方法的宇宙学参数。

英文摘要:

We propose a new method to linearise cosmological mass density fields using higher order Lagrangian perturbation theory (LPT). We demonstrate that a given density field can be expressed as the sum of a linear and a nonlinear component which are tightly coupled to each other by the tidal field tensor within the LPT framework. The linear component corresponds to the initial density field in Eulerian coordinates, and its mean relation with the total field can be approximated by a logarithm (giving theoretical support to recent attempts to find such component). We also propose to use a combination of the linearisation method and the continuity equation to find the mapping between Eulerian and Lagrangian coordinates. In addition, we note that this method opens the possibility of use directly higher order LPT on nonlinear fields. We test our linearization scheme by applying it to the z~0.5 density field from an N-body simulation. We find that the linearised version of the full density field can be successfully recovered on >~5 h^{-1}Mpc, reducing the skewness and kurtosis of the distribution by about one and two orders of magnitude, respectively. This component can also be successfully traced back in time, converging towards the initial unevolved density field at z~100. We anticipate a number of applications of our results, from predicting velocity fields to estimates of the initial conditions of the universe, passing by improved constraints on cosmological parameters derived from galaxy clustering via reconstruction methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑