Resistive evolution of toroidal field distributions and their relation to magnetic clouds
Abstract
We study the resistive evolution of a localized self-organizing magnetohydrodynamic equilibrium. In this configuration the magnetic forces are balanced by a pressure force caused by a toroidal depression in the pressure. Equilibrium is attained when this low-pressure region prevents further expansion into the higher-pressure external plasma. We find that, for the parameters investigated, the resistive evolution of the structures follows a universal pattern when rescaled to resistive time. The finite resistivity causes both a decrease in the magnetic field strength and a finite slip of the plasma fluid against the static equilibrium. This slip is caused by a Pfirsch–Schlüter-type diffusion, similar to what is seen in tokamak equilibria. The net effect is that the configuration remains in magnetostatic equilibrium whilst it slowly grows in size. The rotational transform of the structure becomes nearly constant throughout the entire structure, and decreases according to a power law. In simulations this equilibrium is observed when highly tangled field lines relax in a high-pressure (relative to the magnetic field strength) environment, a situation that occurs when the twisted field of a coronal loop is ejected into the interplanetary solar wind. In this study we relate this localized magnetohydrodynamic equilibrium to magnetic clouds in themore »
- Authors:
-
[1];
[3];
- Princeton Univ., Princeton, NJ (United States). Princeton Plasma Physics Lab; Leiden Univ., Leiden (The Netherlands). Huygens-Kamerlingh Onnes Lab
- DIFFER – Dutch Institute for Fundamental Energy Research, Eindhoven (The Netherlands)
- Leiden Univ., Leiden (The Netherlands). Huygens-Kamerlingh Onnes Lab
- Leiden Univ., Leiden (The Netherlands). Huygens-Kamerlingh Onnes Lab; Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1558790
- Grant/Contract Number:
- AC02-09CH11466
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Plasma Physics
- Additional Journal Information:
- Journal Volume: 85; Journal Issue: 1; Journal ID: ISSN 0022-3778
- Publisher:
- Cambridge University Press
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; astrophysical plasmas
Citation Formats
Smiet, C. B., de Blank, H. J., de Jong, T. A., Kok, D. N. L., and Bouwmeester, D. Resistive evolution of toroidal field distributions and their relation to magnetic clouds. United States: N. p., 2019.
Web. doi:10.1017/s0022377818001290.
Smiet, C. B., de Blank, H. J., de Jong, T. A., Kok, D. N. L., & Bouwmeester, D. Resistive evolution of toroidal field distributions and their relation to magnetic clouds. United States. https://doi.org/10.1017/s0022377818001290
Smiet, C. B., de Blank, H. J., de Jong, T. A., Kok, D. N. L., and Bouwmeester, D. Tue .
"Resistive evolution of toroidal field distributions and their relation to magnetic clouds". United States. https://doi.org/10.1017/s0022377818001290. https://www.osti.gov/servlets/purl/1558790.
@article{osti_1558790,
title = {Resistive evolution of toroidal field distributions and their relation to magnetic clouds},
author = {Smiet, C. B. and de Blank, H. J. and de Jong, T. A. and Kok, D. N. L. and Bouwmeester, D.},
abstractNote = {We study the resistive evolution of a localized self-organizing magnetohydrodynamic equilibrium. In this configuration the magnetic forces are balanced by a pressure force caused by a toroidal depression in the pressure. Equilibrium is attained when this low-pressure region prevents further expansion into the higher-pressure external plasma. We find that, for the parameters investigated, the resistive evolution of the structures follows a universal pattern when rescaled to resistive time. The finite resistivity causes both a decrease in the magnetic field strength and a finite slip of the plasma fluid against the static equilibrium. This slip is caused by a Pfirsch–Schlüter-type diffusion, similar to what is seen in tokamak equilibria. The net effect is that the configuration remains in magnetostatic equilibrium whilst it slowly grows in size. The rotational transform of the structure becomes nearly constant throughout the entire structure, and decreases according to a power law. In simulations this equilibrium is observed when highly tangled field lines relax in a high-pressure (relative to the magnetic field strength) environment, a situation that occurs when the twisted field of a coronal loop is ejected into the interplanetary solar wind. In this study we relate this localized magnetohydrodynamic equilibrium to magnetic clouds in the solar wind.},
doi = {10.1017/s0022377818001290},
journal = {Journal of Plasma Physics},
number = 1,
volume = 85,
place = {United States},
year = {Tue Jan 22 00:00:00 EST 2019},
month = {Tue Jan 22 00:00:00 EST 2019}
}
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Works referenced in this record:
Intuitive approach to magnetic reconnection
journal, November 2011
- Kulsrud, Russell M.
- Physics of Plasmas, Vol. 18, Issue 11
The degree of knottedness of tangled vortex lines
journal, January 1969
- Moffatt, H. K.
- Journal of Fluid Mechanics, Vol. 35, Issue 1
Interplanetary magnetic clouds, helicity conservation, and current-core flux-ropes
journal, July 1996
- Kumar, Ashok; Rust, D. M.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A7
Relaxation and magnetic reconnection in plasmas
journal, July 1986
- Taylor, J. B.
- Reviews of Modern Physics, Vol. 58, Issue 3
Rapid planetesimal formation in turbulent circumstellar disks
journal, August 2007
- Johansen, Anders; Oishi, Jeffrey S.; Low, Mordecai-Mark Mac
- Nature, Vol. 448, Issue 7157
Hydromagnetic turbulence in computer simulations
journal, August 2002
- Brandenburg, A.; Dobler, W.
- Computer Physics Communications, Vol. 147, Issue 1-2
�ber die Abbildungen der dreidimensionalen Sph�re auf die Kugelfl�che
journal, December 1931
- Hopf, Heinz
- Mathematische Annalen, Vol. 104, Issue 1
Self-Organizing Knotted Magnetic Structures in Plasma
journal, August 2015
- Smiet, C. B.; Candelaresi, S.; Thompson, A.
- Physical Review Letters, Vol. 115, Issue 9
Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields
journal, November 1974
- Taylor, J. B.
- Physical Review Letters, Vol. 33, Issue 19
Ideal relaxation of the Hopf fibration
journal, July 2017
- Smiet, Christopher Berg; Candelaresi, Simon; Bouwmeester, Dirk
- Physics of Plasmas, Vol. 24, Issue 7
The topological properties of magnetic helicity
journal, October 1984
- Berger, Mitchell A.; Field, George B.
- Journal of Fluid Mechanics, Vol. 147, Issue -1
On Force-Free Magnetic Fields.
journal, July 1957
- Chandrasekhar, S.; Kendall, P. C.
- The Astrophysical Journal, Vol. 126
Interplanetary hydromagnetic clouds as flare-generated spheromaks
journal, August 1985
- Ivanov, K. G.; Harshiladze, A. F.
- Solar Physics, Vol. 98, Issue 2
Magnetohydrodynamic kinks in astrophysics
journal, March 1978
- Finkelstein, David; Weil, Daniel
- International Journal of Theoretical Physics, Vol. 17, Issue 3
Lorentz self‐forces on curved current loops
journal, October 1994
- Garren, David A.; Chen, James
- Physics of Plasmas, Vol. 1, Issue 10
Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005
- Brandenburg, Axel; Subramanian, Kandaswamy
- Physics Reports, Vol. 417, Issue 1-4
A Theorem on Force-Free Magnetic Fields
journal, June 1958
- Woltjer, L.
- Proceedings of the National Academy of Sciences, Vol. 44, Issue 6
The first in situ observation of torsional Alfvén waves during the interaction of large-scale magnetic clouds
journal, February 2018
- Raghav, Anil N.; Kule, Ankita
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 476, Issue 1
TAdeJong/plasma-analysis: Reference release for citation
software, December 2018
- Jong, Tobias A. De; Kok, David N. L.; Smiet, Christopher B.
- Zenodo
In-Situ Solar Wind and Magnetic Field Signatures of Interplanetary Coronal Mass Ejections
journal, September 2006
- Zurbuchen, Thomas H.; Richardson, Ian G.
- Space Science Reviews, Vol. 123, Issue 1-3
On Force-Free Magnetic Fields
journal, April 1958
- Chandrasekhar, S.; Woltjer, L.
- Proceedings of the National Academy of Sciences, Vol. 44, Issue 4
Magnetic reconnection
journal, January 1984
- Hones, Edward W.
- Eos, Transactions American Geophysical Union, Vol. 65, Issue 13
TAdeJong/plasma-analysis: Reference release for citation
software, December 2018
- Jong, Tobias A. De; Kok, David N. L.; Smiet, Christopher B.
- Zenodo
Rapid planetesimal formation in turbulent circumstellar discs
text, January 2007
- Johansen, Anders; Oishi, Jeffrey S.; Mac Low, Mordecai-Mark
- arXiv
Self-organizing Knotted Magnetic Structures in Plasma
text, January 2015
- Smiet, C. B.; Candelaresi, S.; Thompson, A.
- arXiv
Hydromagnetic turbulence in computer simulations
text, January 2001
- Brandenburg, A.; Dobler, W.
- arXiv
Astrophysical magnetic fields and nonlinear dynamo theory
text, January 2004
- Brandenburg, Axel; Subramanian, Kandaswamy
- arXiv
Equilibrium of a three-dimensional plasma filament in a longitudinal magnetic field under steady conditions
journal, January 1966
- Shafranov, V. D.
- Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, Vol. 8, Issue 2
Decay of helical and non-helical magnetic knots
text, January 2011
- Candelaresi, Simon; Brandenburg, Axel
- arXiv
Ideal Relaxation of the Hopf Fibration
text, January 2016
- Smiet, Christopher Berg; Candelaresi, Simon; Bouwmeester, Dirk
- arXiv