焦散煎饼的新配方：论宇宙网中壁结构的真实性
A New Recipe for Caustic Pancakes: On the Reality of Walls in the Cosmic Web
AI总结：
该研究利用受约束N体模拟与焦散骨架框架，推导原壁中心条件、分析其演化，首次计算宇宙壁拉格朗日空间体积，推断壁周围场与暗晕分布，并与原初势鞍点条件对比，探究宇宙网壁结构的真实性。
摘要：
焦散骨架模型是一个数学上严谨的框架，用于从底层暗物质流的焦散面研究正在形成的宇宙网的形成历史。在两篇系列论文中，我们使用受约束N体模拟来研究不同的宇宙网环境。在本研究中，我们聚焦于宇宙壁结构。我们推导了原壁中心的条件，并通过N体模拟分析了它们的演化过程。接下来，我们通过研究尺度空间中宇宙壁中心的数密度来探究Zel'dovich煎饼的统计性质，并且首次计算了宇宙壁的拉格朗日空间体积。最后，我们通过一组物理真实的仅含暗物质的模拟，推断了宇宙壁周围的平均密度场、速度场以及暗晕分布。我们将通过焦散骨架框架得到的宇宙壁，与先前提出的原初势和密度扰动的鞍点条件进行了比较。
英文摘要：
The caustic skeleton model is a mathematically rigorous framework for studying the formation history of the emerging cosmic web from the caustics in the underlying dark matter flow. In a series of two papers, we use constrained N-body simulations to investigate the different cosmic web environments. For the current study, we focus on the cosmic walls. We derive the conditions of the centres of proto-walls and analyse their evolution with N-body simulations. Next, we investigate the statistical properties of Zel'dovich pancakes by studying the number density of the cosmic wall centres in scale space and, for the first time, we calculate the Lagrangian-space volume of cosmic walls. Finally, we infer the mean density and velocity fields and the distribution of haloes around cosmic walls with a suite of physically realistic dark-matter-only simulations. We compare the cosmic walls obtained with the caustic skeleton framework with previously proposed saddle point conditions on the primordial potential and density perturbation.
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