@article{a9e1627b8c4b46229587078cf54328f4,
title = "Statistical Tracing of Magnetic Fields: Comparing and Improving the Techniques",
abstract = "Magnetohydrodynamic turbulence displays velocity anisotropies that reflect the direction of the magnetic field. This anisotropy has led to the development of a number of statistical techniques for studying magnetic fields in the interstellar medium. In this paper, we review and compare three techniques that use radio position-position-velocity data to determine magnetic field strength and morphology: the correlation function anisotropy (CFA), principal component analysis of anisotropies (PCAA), and the more recent velocity gradient technique (VGT). We compare these three techniques and suggest improvements to the CFA and PCAA techniques to increase their accuracy and versatility. In particular, we suggest and successfully implement a much faster way to calculate nonperiodic correlation functions for the CFA. We discuss possible improvements to the current implementation of the PCAA. We show the advantages of the VGT in terms of magnetic field tracing and stress the complementary nature with the other two techniques.",
keywords = "ISM: general, ISM: magnetic fields, ISM: structure, magnetohydrodynamics (MHD), methods: numerical",
author = "Yuen, {Ka Ho} and Junda Chen and Yue Hu and Ho, {Ka Wai} and A. Lazarian and Victor Lazarian and Bo Yang and Blakesley Burkhart and Caio Correia and Jungyeon Cho and Bruno Canto and Medeiros, {J. R.De}",
note = "Funding Information: The research activities of the Observational Astronomy Board at the Federal University of Rio Grande do Norte (UFRN) are supported by continuous grants from the Brazilian agencies CNPq and FAPERN and by the INCT-INEspao. B.L.C.M. acknowledges a PDE/CAPES fellowship. A.L. acknowledges the support from the NSF grants DMS 1622353 and AST 1715754, a Distinguished Visiting Professor PVE/CAPES appointment at the Physics Graduate Program at UFRN, Natal, Brazil, and a Visiting Professor Fellowship from UFRN. B.B. acknowledges support from an Institute for Theory and Computation (ITC) fellowship at the Harvard-Smithsonian Center for Astrophysics. We acknowledge Rachel and Vera for their kind support of our numerical calculations. J.C.ʼs work is supported by National Research Foundation of Korea grants funded by the Korean Government (NRF-2016R1A5A1013277). We acknowledge Jeff Godsey from the Writing Center of UW-Madison for pointing out language improvements to our paper. Software: Julia, Matlab, Python. Publisher Copyright: {\textcopyright} 2018. The American Astronomical Society. All rights reserved.",
year = "2018",
month = sep,
day = "20",
doi = "10.3847/1538-4357/aada88",
language = "English (US)",
volume = "865",
journal = "Astrophysical Journal",
issn = "0004-637X",
publisher = "IOP Publishing Ltd.",
number = "1",
}