论文标题
分层聚类III的随机理论。光环质量功能的非大学性和非平稳性
A Stochastic Theory of the Hierarchical Clustering III. The Non-universality and Non-stationarity of the Halo Mass Function
论文作者
论文摘要
在层次聚类的随机理论的框架中，我们研究了描述暗物质光环的统计数据的Fokker-Planck方程的时间依赖性解决方案，并讨论了这些方程的统计数据，并讨论了它们所需的典型时间表，这些时间表与固定状态相聚，远离初始条件。尽管我们表明固定解决方案可以重现$ z \ 0 $的最先进的$ n- $车身模拟的结果，但要精确，但必须超越超越模拟的Halo质量功能向高红速度的宇宙演变。具体而言，我们证明了Fokker-Planck方程的时间依赖性解决方案可以描述，对于合理的初始条件，模拟的Halo质量函数的非普遍演变。与标准理论估计值相比，我们的随机理论预测，晕光密度高于$ z \ gtrsim 10 $的晕光密度，这一结果可能有助于阐明JWST的早期和即将到来的数据。最后，我们指出了方法在设计，解释和模拟当前和未来的$ n- $身体实验方面的相关性。
In the framework of the stochastic theory for hierarchical clustering, we investigate the time-dependent solutions of the Fokker-Planck equation describing the statistics of dark matter halos, and discuss the typical timescales needed for these to converge toward stationary states, far away enough from initial conditions. Although we show that the stationary solutions can reproduce the outcomes of state-of-the-art $N-$body simulations at $z\approx 0$ to a great accuracy, one needs to go beyond to fully account for the cosmic evolution of the simulated halo mass function toward high-redshift. Specifically, we demonstrate that the time-dependent solutions of the Fokker-Planck equation can describe, for reasonable initial conditions, the non-universal evolution of the simulated halo mass functions. Compared to standard theoretical estimates, our stochastic theory predicts a halo number density higher by factor of several toward $z\gtrsim 10$, an outcome which can be helpful in elucidating early and upcoming data from JWST. Finally, we point out the relevance of our approach in designing, interpreting and emulating present and future $N-$body experiments.
