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arXiv 2302.09134astro-ph.CO
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改进宇宙学中微子模拟的初始化与演化精度

Improving initialization and evolution accuracy of cosmological neutrino simulations

James M. Sullivan, J. D. Emberson, Salman Habib, Nicholas Frontiere

AI总结:

本文改进宇宙学中微子模拟的初始化与演化精度,在HACC中实现对称中微子动量采样并用傅里叶滤波消除数值伪影,同时提出自洽反向缩放方法,使总物质增长函数达到亚百分比精度。

摘要:

中微子质量约束是当前和未来大尺度结构(LSS)巡天的一个主要关注点。非线性LSS模型在很大程度上依赖于宇宙学模拟——因此,大质量中微子的影响应当以现实、计算上可行且可控的方式纳入这些模拟中。最近一项旨在降低相关计算成本的提议在初始条件中采用了对称中微子动量采样策略。我们将该策略的一个修改版本实现到硬件/混合加速宇宙学代码(HACC)中,并对其内部参数进行了收敛性测试。我们说明,与先前发现类似,该方法会在小尺度上对总物质场产生$\mathcal{O}(1\\%)$量级的数值伪影,并提出一种利用中微子密度场的傅里叶空间滤波来消除这些伪影的方法。此外,我们表明,收敛后的中微子功率谱在早期相对较大的尺度上并不遵循线性理论预测,偏差达到$15\\%$水平,这促使我们对基于粒子的中微子模拟中的系统误差进行更仔细的研究。我们还提出了一种改进的方法,用于在大质量中微子宇宙学中为初始条件反向缩放线性转移函数,该方法基于实现与玻尔兹曼求解器计算所得相同的中微子相对增长。我们的自洽反向缩放方法在总物质增长函数上实现了亚百分比的精度。在中微子质量$m_ν=0.15~\mathrm{eV}$下,与Mira-Titan仿真器的非线性功率谱比较结果与仿真器及直接N体模拟中预期的误差水平非常一致。

英文摘要:

Neutrino mass constraints are a primary focus of current and future large-scale structure (LSS) surveys. Non-linear LSS models rely heavily on cosmological simulations -- the impact of massive neutrinos should therefore be included in these simulations in a realistic, computationally tractable, and controlled manner. A recent proposal to reduce the related computational cost employs a symmetric neutrino momentum sampling strategy in the initial conditions. We implement a modified version of this strategy into the Hardware/Hybrid Accelerated Cosmology Code (HACC) and perform convergence tests on its internal parameters. We illustrate that this method can impart $\mathcal{O}(1\%)$ numerical artifacts on the total matter field on small scales, similar to previous findings, and present a method to remove these artifacts using Fourier-space filtering of the neutrino density field. Moreover, we show that the converged neutrino power spectrum does not follow linear theory predictions on relatively large scales at early times at the $15\%$ level, prompting a more careful study of systematics in particle-based neutrino simulations. We also present an improved method for backscaling linear transfer functions for initial conditions in massive neutrino cosmologies that is based on achieving the same relative neutrino growth as computed with Boltzmann solvers. Our self-consistent backscaling method yields sub-percent accuracy in the total matter growth function. Comparisons for the non-linear power spectrum with the Mira-Titan emulator at a neutrino mass of $m_ν=0.15~\mathrm{eV}$ are in very good agreement with the expected level of errors in the emulator and in the direct N-body simulation.

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