Bayesian Revisit of the Relationship between the Total Field Strength and the Volume Density of Interstellar Clouds
Publication in refereed journal


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摘要The Zeeman effect has been the only method to directly probe the magnetic field strength in molecular clouds. The Bayesian analysis of Zeeman measurements carried out by Crutcher et al. is the only reference for cloud magnetic field strength. Here we extended their model and Bayesian analysis of the relation between field strength (B) and volume density (n) in the following three directions based on the recent observational and theoretical development. First, we take R, the observational uncertainty of n, as a parameter to be estimated from data. Second, the restriction of α, the index of the B–n relationship, is relieved from [0, 0.75] to [0, 1]. Third, we allow f, the minimum-to-maximum B ratio, to vary with n. Our results show that taking R as a parameter provides a better fitting to the B–n relationship and much more reliable estimates on R, f, and the changing point of α. Arguably our most important finding is that α cannot be reliably estimated by any of the models studied here, either from us or Crutcher et al., if R > 2, which is indeed the case from our estimate. This is the so-called errors-in-variables bias, a well known problem for statisticians.
出版社接受日期24.02.2020
著者Hangjin Jiang, Hua-bai Li, Xiaodan Fan
期刊名稱Astrophysical Journal
出版年份2020
月份2
日期24
卷號890
期次2
文章號碼153
國際標準期刊號0004-637X
電子國際標準期刊號1538-4357
語言美式英語
關鍵詞Star formation, Magnetic field, Molecular clouds, Bayesian statistics

上次更新時間 2020-21-11 於 23:57