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arXiv 0802.3713astro-ph
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Halo并合的自洽理论- II:CDM功率谱

Self-Consistent Theory of Halo Mergers - II: CDM Power Spectra

Andrew J. Benson

摘要:

我们放置额外的约束的三个参数的暗物质晕合并率函数最近提出的帕金森,科尔和Helly利用Smoluchowski的凝聚方程,这必须遵守任何二进制合并过程,保持质量。我们发现,从Smoluchowski方程的约束退化,限制在一个薄的平面在三维参数空间。这种约束是一致的,从拟合到N体措施的祖质量函数,并提供了一个更好的匹配的整体暗物质晕质量函数的演变,特别是对于最大质量的晕。我们表明,拟议的合并率函数不允许Smoluchowski方程的精确解,因此,参数的选择必须反映拟合质量函数的各个部分之间的妥协。本文描述的技术适用于更一般的合并率函数,其可以允许Smoluchowski方程的更准确的解。目前的合并率解决方案对于绝大多数应用程序来说可能足够准确。

英文摘要:

We place additional constraints on the three parameters of the dark matter halo merger rate function recently proposed by Parkinson, Cole & Helly by utilizing Smoluchowski's coagulation equation, which must be obeyed by any binary merging process which conserves mass. We find that the constraints from Smoluchowski's equation are degenerate, limiting to a thin plane in the three dimensional parameter space. This constraint is consistent with those obtained from fitting to N-body measures of progenitor mass functions, and provides a better match to the evolution of the overall dark matter halo mass function, particularly for the most massive halos. We demonstrate that the proposed merger rate function does not permit an exact solution of Smoluchowski's equation and, therefore, the choice of parameters must reflect a compromise between fitting various parts of the mass function. The techniques described herein are applicable to more general merger rate functions, which may permit a more accurate solution of Smoluchowski's equation. The current merger rate solutions are most probably sufficiently accurate for the vast majority of applications.

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