Gradient Technique Theory: Tracing magnetic field and obtaining magnetic field strength

Fuente: arXiv
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Autores principales: Lazarian, Alex, Yuen, Ka Ho, Pogosyan, Dmitri
Formato: Preprint
Publicado: 2024
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author Lazarian, Alex
Yuen, Ka Ho
Pogosyan, Dmitri
author_facet Lazarian, Alex
Yuen, Ka Ho
Pogosyan, Dmitri
contents The gradient technique is a promising tool with theoretical foundations based on the fundamental properties of MHD turbulence and turbulent reconnection. Its various incarnations use spectroscopic, synchrotron, and intensity data to trace the magnetic field and measure the media magnetization in terms of Alfven Mach number. We provide an analytical theory of gradient measurements and quantify the effects of averaging gradients along the line of sight and over the plane of the sky. We derive analytical expressions that relate the properties of gradient distribution with the Alfven Mach number $M_A$. We show that these measurements can be combined with measures of sonic Mach number or line broadening to obtain the magnetic field strength. The corresponding technique has advantages to Davis-Chandrasekhar-Fermi way of obtaining the magnetic field strength.
format Preprint
id arxiv_https___arxiv_org_abs_2406_01545
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gradient Technique Theory: Tracing magnetic field and obtaining magnetic field strength
Lazarian, Alex
Yuen, Ka Ho
Pogosyan, Dmitri
Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
The gradient technique is a promising tool with theoretical foundations based on the fundamental properties of MHD turbulence and turbulent reconnection. Its various incarnations use spectroscopic, synchrotron, and intensity data to trace the magnetic field and measure the media magnetization in terms of Alfven Mach number. We provide an analytical theory of gradient measurements and quantify the effects of averaging gradients along the line of sight and over the plane of the sky. We derive analytical expressions that relate the properties of gradient distribution with the Alfven Mach number $M_A$. We show that these measurements can be combined with measures of sonic Mach number or line broadening to obtain the magnetic field strength. The corresponding technique has advantages to Davis-Chandrasekhar-Fermi way of obtaining the magnetic field strength.
title Gradient Technique Theory: Tracing magnetic field and obtaining magnetic field strength
topic Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2406.01545