Theory of magnetic field line random walk in noisy reduced magnetohydrodynamic turbulence
Abstract
When a magnetic field consists of a mean part and fluctuations, the stochastic wandering of its field lines is often treated as a diffusive process. Under suitable conditions, a stable value is found for the mean square transverse displacement per unit parallel displacement relative to the mean field. Here, we compute the associated field line diffusion coefficient for a highly anisotropic 'noisy' reduced magnetohydrodynamic model of the magnetic field, which is useful in describing low frequency turbulence in the presence of a strong applied DC mean magnetic field, as may be found, for example, in the solar corona, or in certain laboratory devices. Our approach is nonperturbative, based on Corrsin's independence hypothesis, and makes use of recent advances in understanding factors that control decorrelation over a range of parameters described by the Kubo number. Both Bohm and quasilinear regimes are identified.
- Authors:
-
- Department of Physics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand and Thailand Center of Excellence in Physics, CHE, Ministry of Education, Bangkok 10400 (Thailand)
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716 (United States)
- Publication Date:
- OSTI Identifier:
- 22113346
- Resource Type:
- Journal Article
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 20; Journal Issue: 1; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; DIFFUSION; FLUCTUATIONS; GRAPH THEORY; KUBO FORMULA; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MEAN-FIELD THEORY; PLASMA; PLASMA SIMULATION; RANDOMNESS; SOLAR CORONA; STOCHASTIC PROCESSES; TURBULENCE
Citation Formats
Ruffolo, D., and Matthaeus, W. H. Theory of magnetic field line random walk in noisy reduced magnetohydrodynamic turbulence. United States: N. p., 2013.
Web. doi:10.1063/1.4789606.
Ruffolo, D., & Matthaeus, W. H. Theory of magnetic field line random walk in noisy reduced magnetohydrodynamic turbulence. United States. https://doi.org/10.1063/1.4789606
Ruffolo, D., and Matthaeus, W. H. 2013.
"Theory of magnetic field line random walk in noisy reduced magnetohydrodynamic turbulence". United States. https://doi.org/10.1063/1.4789606.
@article{osti_22113346,
title = {Theory of magnetic field line random walk in noisy reduced magnetohydrodynamic turbulence},
author = {Ruffolo, D. and Matthaeus, W. H.},
abstractNote = {When a magnetic field consists of a mean part and fluctuations, the stochastic wandering of its field lines is often treated as a diffusive process. Under suitable conditions, a stable value is found for the mean square transverse displacement per unit parallel displacement relative to the mean field. Here, we compute the associated field line diffusion coefficient for a highly anisotropic 'noisy' reduced magnetohydrodynamic model of the magnetic field, which is useful in describing low frequency turbulence in the presence of a strong applied DC mean magnetic field, as may be found, for example, in the solar corona, or in certain laboratory devices. Our approach is nonperturbative, based on Corrsin's independence hypothesis, and makes use of recent advances in understanding factors that control decorrelation over a range of parameters described by the Kubo number. Both Bohm and quasilinear regimes are identified.},
doi = {10.1063/1.4789606},
url = {https://www.osti.gov/biblio/22113346},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 1,
volume = 20,
place = {United States},
year = {Tue Jan 15 00:00:00 EST 2013},
month = {Tue Jan 15 00:00:00 EST 2013}
}