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arXiv 2305.09337astro-ph.CO
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优化ΛCDM宇宙中扰动的演化

Optimizing the Evolution of Perturbations in the $Λ$CDM Universe

Nicholas Choustikov, Zvonimir Vlah, Anthony Challinor

AI总结:

本文提出基于切比雪夫多项式的谱方法,高效求解ΛCDM宇宙中引力耦合核的全阶微扰动力学演化,比直接数值求解快数个数量级,并公开发布了代码实现。

摘要:

扰动理论是研究宇宙大尺度结构形成以及计算功率谱或双谱等可观测量的一种有力工具。然而,在超出线性阶之后,通常的做法是假设物质涨落与速度涨落之间的引力耦合核在时间依赖性上存在某种简化。尽管对于Λ冷暗物质宇宙学而言,真实的依赖关系是已知的,但由于完整考虑这些依赖关系会带来巨大的计算代价,它们通常被忽略,并被适用于爱因斯坦-德西特宇宙学的更简单依赖关系所替代。本文中,我们开发、实现并展示了一种新的数值方法的有效性,该方法基于使用切比雪夫多项式的谱方法,用于求解这些核在所有微扰阶上的完整动力学演化。我们发现该方法比直接数值求解器高效数个数量级,同时仍能产生高度精确且可靠的结果。随后,我们给出并描述了切比雪夫谱方法的代码实现。该代码已随本文一同公开发布。我们期望该方法有助于解释即将到来的星系成团性测量。

英文摘要:

Perturbation theory is a powerful tool for studying large-scale structure formation in the universe and calculating observables such as the power spectrum or bispectrum. However, beyond linear order, typically this is done by assuming a simplification in the time-dependence of gravitational-coupling kernels between the matter and velocity fluctuations. Though the true dependencies are known for Lambda cold dark matter cosmologies, they are ignored due to the computational costs associated with considering them in full and, instead, are replaced by simpler dependencies valid for an Einstein--de-Sitter cosmology. Here we develop, implement and demonstrate the effectiveness of a new numerical method for finding the full dynamical evolution of these kernels to all perturbative orders based upon spectral methods using Chebyshev polynomials. This method is found to be orders of magnitude more efficient than direct numerical solvers while still producing highly accurate and reliable results. A code implementation of the Chebyshev spectral method is then presented and characterised. The code has been made publicly available alongside this paper. We expect our method to be of use for interpretation of upcoming galaxy clustering measurements.

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。

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