On Scaling Laws and Alfvenic Magnetic Fluctuations in Molecular Clouds

Under the basic assumption that the observed turbulent motions in molecular clouds are Alfvenic waves or turbulence, we emphasize that the Doppler broadening of molecular line profiles directly measures the velocity amplitudes of the waves instead of the Alfven velocity. Assuming an equipartition be...

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Main Author: Xie, Taoling
Format: Journal Article
Language:English
Published: 20-11-1996
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Abstract Under the basic assumption that the observed turbulent motions in molecular clouds are Alfvenic waves or turbulence, we emphasize that the Doppler broadening of molecular line profiles directly measures the velocity amplitudes of the waves instead of the Alfven velocity. Assuming an equipartition between the kinetic energy and the Alfvenic magnetic energy, we further propose the hypothesis that observed standard scaling laws in molecular clouds imply a roughly scale-independent fluctuating magnetic field, which might be understood as a result of strong wave-wave interactions and subsequent energy cascade. We predict that $\sigma_{v}\propto \rho^{-0.5}$ is a more basic and robust relation in that it may approximately hold in any regions where the spatial energy density distribution is primarily determined by wave-wave interactions, including gravitationally unbound regions. We also discuss the fact that a scale-independent $\sigma_{B}^{2}$ appears to contradict existing 1-D and 2-D computer simulations of MHD turbulence in molecular clouds.
AbstractList Under the basic assumption that the observed turbulent motions in molecular clouds are Alfvenic waves or turbulence, we emphasize that the Doppler broadening of molecular line profiles directly measures the velocity amplitudes of the waves instead of the Alfven velocity. Assuming an equipartition between the kinetic energy and the Alfvenic magnetic energy, we further propose the hypothesis that observed standard scaling laws in molecular clouds imply a roughly scale-independent fluctuating magnetic field, which might be understood as a result of strong wave-wave interactions and subsequent energy cascade. We predict that $\sigma_{v}\propto \rho^{-0.5}$ is a more basic and robust relation in that it may approximately hold in any regions where the spatial energy density distribution is primarily determined by wave-wave interactions, including gravitationally unbound regions. We also discuss the fact that a scale-independent $\sigma_{B}^{2}$ appears to contradict existing 1-D and 2-D computer simulations of MHD turbulence in molecular clouds.
Author Xie, Taoling
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BackLink https://doi.org/10.48550/arXiv.astro-ph/9611153$$DView paper in arXiv
https://doi.org/10.1086/310467$$DView published paper (Access to full text may be restricted)
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Snippet Under the basic assumption that the observed turbulent motions in molecular clouds are Alfvenic waves or turbulence, we emphasize that the Doppler broadening...
SourceID arxiv
SourceType Open Access Repository
SubjectTerms Physics - Astrophysics of Galaxies
Physics - Cosmology and Nongalactic Astrophysics
Physics - Earth and Planetary Astrophysics
Physics - High Energy Astrophysical Phenomena
Physics - Instrumentation and Methods for Astrophysics
Physics - Solar and Stellar Astrophysics
Title On Scaling Laws and Alfvenic Magnetic Fluctuations in Molecular Clouds
URI https://arxiv.org/abs/astro-ph/9611153
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