Phenomenology treatment of magnetohydrodynamic turbulence with non-equipartition and anisotropy
Abstract
Magnetohydrodynamics (MHD) turbulence theory, often employed satisfactorily in astrophysical applications, has often focused on parameter ranges that imply nearly equal values of kinetic and magnetic energies and length scales. However, MHD flow may have disparity magnetic Prandtl number, dissimilar kinetic and magnetic Reynolds number, different kinetic and magnetic outer length scales, and strong anisotropy. Here a phenomenology for such ''non-equipartitioned'' MHD flow is discussed. Two conditions are proposed for a MHD flow to transition to strong turbulent flow, extensions of (1) Taylor's constant flux in an inertial range, and (2) Kolmogorov's scale separation between the large and small scale boundaries of an inertial range. For this analysis, the detailed information on turbulence structure is not needed. These two conditions for MHD transition are expected to provide consistent predictions and should be applicable to anisotropic MHD flows, after the length scales are replaced by their corresponding perpendicular components. Second, it is stressed that the dynamics and anisotropy of MHD fluctuations is controlled by the relative strength between the straining effects between eddies of similar size and the sweeping action by the large-eddies, or propagation effect of the large-scale magnetic fields, on the small scales, and analysis of this balance in principlemore »
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- US Department of Energy (US)
- OSTI Identifier:
- 15016027
- Report Number(s):
- UCRL-JRNL-209624
Journal ID: ISSN 1070-664X; PHPAEN; TRN: US0501787
- DOE Contract Number:
- W-7405-ENG-48
- Resource Type:
- Journal Article
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Other Information: Publication date is May 1, 2005; PDF-FILE: 27 ; SIZE: 0.2 MBYTES; PBD: 7 Feb 2005; Journal ID: ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANISOTROPY; FLUCTUATIONS; KINETICS; MAGNETIC FIELDS; MAGNETIC REYNOLDS NUMBER; MAGNETOHYDRODYNAMICS; PRANDTL NUMBER; TURBULENCE; TURBULENT FLOW
Citation Formats
Zhou, Y, and Matthaeus, W H. Phenomenology treatment of magnetohydrodynamic turbulence with non-equipartition and anisotropy. United States: N. p., 2005.
Web. doi:10.1063/1.1887187.
Zhou, Y, & Matthaeus, W H. Phenomenology treatment of magnetohydrodynamic turbulence with non-equipartition and anisotropy. United States. https://doi.org/10.1063/1.1887187
Zhou, Y, and Matthaeus, W H. 2005.
"Phenomenology treatment of magnetohydrodynamic turbulence with non-equipartition and anisotropy". United States. https://doi.org/10.1063/1.1887187. https://www.osti.gov/servlets/purl/15016027.
@article{osti_15016027,
title = {Phenomenology treatment of magnetohydrodynamic turbulence with non-equipartition and anisotropy},
author = {Zhou, Y and Matthaeus, W H},
abstractNote = {Magnetohydrodynamics (MHD) turbulence theory, often employed satisfactorily in astrophysical applications, has often focused on parameter ranges that imply nearly equal values of kinetic and magnetic energies and length scales. However, MHD flow may have disparity magnetic Prandtl number, dissimilar kinetic and magnetic Reynolds number, different kinetic and magnetic outer length scales, and strong anisotropy. Here a phenomenology for such ''non-equipartitioned'' MHD flow is discussed. Two conditions are proposed for a MHD flow to transition to strong turbulent flow, extensions of (1) Taylor's constant flux in an inertial range, and (2) Kolmogorov's scale separation between the large and small scale boundaries of an inertial range. For this analysis, the detailed information on turbulence structure is not needed. These two conditions for MHD transition are expected to provide consistent predictions and should be applicable to anisotropic MHD flows, after the length scales are replaced by their corresponding perpendicular components. Second, it is stressed that the dynamics and anisotropy of MHD fluctuations is controlled by the relative strength between the straining effects between eddies of similar size and the sweeping action by the large-eddies, or propagation effect of the large-scale magnetic fields, on the small scales, and analysis of this balance in principle also requires consideration of non-equipartition effects.},
doi = {10.1063/1.1887187},
url = {https://www.osti.gov/biblio/15016027},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = ,
volume = ,
place = {United States},
year = {Mon Feb 07 00:00:00 EST 2005},
month = {Mon Feb 07 00:00:00 EST 2005}
}
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