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arXiv 1907.09147astro-ph.COhep-th
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作为晕的模型,

Excursion set peaks in energy as a model for haloes

Marcello Musso, Ravi K. Sheth

摘要:

最简单的暗物质晕形成模型是基于启发式假设,由球形坍缩的动机,即维里化晕起源于平滑密度场的最大值的初始区域。在这里,我们取代这个概念的动力学要求,原晕补丁的地区,当地的引力流收敛到一个点。为此目的,我们寻找在边界处的重力加速度--相对于它们的质心--指向它们的几何中心的球体:也就是具有零偶极矩的球体。我们表明,这些配置是最小的总能量,即最有力的绑定领域。出于这个原因,我们研究的能量超密度场的峰值,并认为这种方法显示出相当大的希望。这种变化只需要修改标准的礼帽滤波器,还有一个额外的重要好处,对于宇宙学感兴趣的功率谱,所得到的模型不再受发散的困扰。虽然形式主义是没有更复杂的密度为基础的方法,该模型更丰富的意义上说,它自然地预测分散的原晕补丁,注定要形成相同质量的晕,在定性的协议与模拟晕的形成。

英文摘要:

The simplest models of dark matter halo formation are based on the heuristic assumption, motivated by spherical collapse, that virialized haloes originate from initial regions that are maxima of the smoothed density field. Here, we replace this notion with the dynamical requirement that protohalo patches be regions where the local gravitational flow converges to a point. For this purpose, we look for spheres whose gravitational acceleration at the boundary -- relative to their center of mass -- points towards their geometric center: that is, spheres with null dipole moment. We show that these configurations are minima of the total energy, i.e. the most energetically bound spheres. For this reason, we study peaks of the energy overdensity field, and argue that the approach shows considerable promise. This change simply requires that one modify the standard top-hat filter, with the added important benefit that, for power spectra of cosmological interest, the resulting model is no longer plagued by divergences. Although the formalism is no more complicated than the overdensity based approach, the model is richer in the sense that it naturally predicts scatter in the overdensities of protohalo patches that are destined to form haloes of the same mass, in qualitative agreement with simulations of halo formation.

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