论文标题
速度和密度贡献与光谱通道图的相关性:Kalberla et.al(2022)的现实检查
Correlation of velocity and density contributions to spectroscopic channel maps: Reality check on Kalberla et.al (2022)
论文作者
论文摘要
星际HI中磁化的湍流的存在已被广泛接受。已经开发了许多获得湍流光谱和磁场方向和强度的技术,并成功地应用于HI光谱数据。为了更好地将密度和速度波动的烙印与通道图的烙印,已经创建了一种新的基于理论的技术,即速度分解算法(VDA,Yuen et.Al 2021)。该技术表明,强度波动被分成成分PV,该PV主要由速度波动和PD产生,而PD主要由密度波动引起。 VDA有助于阐明在通道图中观察到的丝状结构的性质。最近的出版物(Kalberla et.Al 2022,K22)声称,将VDA应用于HI4PI数据提供了PV和PD的负相关性,根据作者的说法,该技术使该技术无效,因为它要求PV和PD的相关性为零。但是,VDA给出的数量PV和PD自然是正交的,可以在分析或数值上进行琐碎的检查。这意味着将VDA正确应用于任何数据必须提供零相关性。这是我们在本文中澄清的观点,并在K22中搜索VDA在应用中造成错误的原因,这导致了错误的结论。我们可以分析地证明,通过施工PV和PD不相关。我们确定了K22使用不正确表达的VDA表达中可能的错误。我们发现K22中15个数字中有14个是无效的,因此他们对VDA的批评是不根据的,并且源于它们对不正确表达的使用。我们得出的结论是,K22在他们的分析中犯的有害错误完全使他们的科学说法无效,即Y21与观察不兼容。
The existence of magnetized turbulence in the interstellar HI is well accepted. A number of techniques to obtain turbulence spectrum and magnetic field direction and strength have been developed and successfully applied to HI spectroscopic data. To better separate the imprints of density and velocity fluctuations to the channel maps, a new theory-based technique, the Velocity Decomposition Algorithm (VDA,Yuen et.al 2021), has been created. The technique demonstrates that the intensity fluctuations are separated into a component pv that mostly arises from velocity fluctuations and pd that mostly arise from density fluctuations. The VDA helps to clarify the nature of the filamentary structure observed in channel maps. A recent publication (Kalberla et.al 2022,K22) claims that the application of VDA to HI4PI data provides negative correlation of pv and pd,which according to the authors invalidates the technique since it requires that pv and pd have zero correlation. However, the quantities pv and pd given by VDA are naturally orthogonal which can be trivially checked analytically or numerically. That means the correct application of the VDA to any data must provide zero correlation. This is the point that we clarify in this paper and search for the cause of the mistake in the application of the VDA in K22 that resulted in the erroneous conclusion. We prove analytically that by construction pv and pd are not correlated. We identify the likely mistake in the VDA expression that K22 used and reproduce their figures with the incorrect expression. We find that 14 out of 15 figures in K22 are invalid, and thus their criticism of the VDA is ill-founded and arises from their use of incorrect expressions. We conclude that the detrimental mistake that K22 made at their analysis completely invalidate their scientific claim that Y21 isnt compatible to observation.