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Title: 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 » solar wind.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [3];  [4]
  1. Princeton Univ., Princeton, NJ (United States). Princeton Plasma Physics Lab; Leiden Univ., Leiden (The Netherlands). Huygens-Kamerlingh Onnes Lab
  2. DIFFER – Dutch Institute for Fundamental Energy Research, Eindhoven (The Netherlands)
  3. Leiden Univ., Leiden (The Netherlands). Huygens-Kamerlingh Onnes Lab
  4. 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 Lab. (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. doi: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. doi: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 = {2019},
month = {1}
}

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Works referenced in this record:

Intuitive approach to magnetic reconnection
journal, November 2011


The degree of knottedness of tangled vortex lines
journal, January 1969


Ideal relaxation of the Hopf fibration
journal, July 2017

  • Smiet, Christopher Berg; Candelaresi, Simon; Bouwmeester, Dirk
  • Physics of Plasmas, Vol. 24, Issue 7
  • DOI: 10.1063/1.4990076

The topological properties of magnetic helicity
journal, October 1984


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
  • DOI: 10.1029/96JA00544

On Force-Free Magnetic Fields.
journal, July 1957

  • Chandrasekhar, S.; Kendall, P. C.
  • The Astrophysical Journal, Vol. 126
  • DOI: 10.1086/146413

Relaxation and magnetic reconnection in plasmas
journal, July 1986


Rapid planetesimal formation in turbulent circumstellar disks
journal, August 2007

  • Johansen, Anders; Oishi, Jeffrey S.; Low, Mordecai-Mark Mac
  • Nature, Vol. 448, Issue 7157
  • DOI: 10.1038/nature06086

Hydromagnetic turbulence in computer simulations
journal, August 2002


�ber die Abbildungen der dreidimensionalen Sph�re auf die Kugelfl�che
journal, December 1931


Interplanetary hydromagnetic clouds as flare-generated spheromaks
journal, August 1985

  • Ivanov, K. G.; Harshiladze, A. F.
  • Solar Physics, Vol. 98, Issue 2
  • DOI: 10.1007/BF00152467

Magnetohydrodynamic kinks in astrophysics
journal, March 1978

  • Finkelstein, David; Weil, Daniel
  • International Journal of Theoretical Physics, Vol. 17, Issue 3
  • DOI: 10.1007/BF00680372

Lorentz self‐forces on curved current loops
journal, October 1994

  • Garren, David A.; Chen, James
  • Physics of Plasmas, Vol. 1, Issue 10
  • DOI: 10.1063/1.870491

Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005


Self-Organizing Knotted Magnetic Structures in Plasma
journal, August 2015


A Theorem on Force-Free Magnetic Fields
journal, June 1958

  • Woltjer, L.
  • Proceedings of the National Academy of Sciences, Vol. 44, Issue 6
  • DOI: 10.1073/pnas.44.6.489

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
  • DOI: 10.1093/mnrasl/sly020

Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields
journal, November 1974


    Works referencing / citing this record:

    Astrophysical magnetic fields and nonlinear dynamo theory
    journal, October 2005


    Rapid planetesimal formation in turbulent circumstellar disks
    journal, August 2007

    • Johansen, Anders; Oishi, Jeffrey S.; Low, Mordecai-Mark Mac
    • Nature, Vol. 448, Issue 7157
    • DOI: 10.1038/nature06086

    Intuitive approach to magnetic reconnection
    journal, November 2011


    Ideal relaxation of the Hopf fibration
    journal, July 2017

    • Smiet, Christopher Berg; Candelaresi, Simon; Bouwmeester, Dirk
    • Physics of Plasmas, Vol. 24, Issue 7
    • DOI: 10.1063/1.4990076

    Lorentz self‐forces on curved current loops
    journal, October 1994

    • Garren, David A.; Chen, James
    • Physics of Plasmas, Vol. 1, Issue 10
    • DOI: 10.1063/1.870491

    A Theorem on Force-Free Magnetic Fields
    journal, June 1958

    • Woltjer, L.
    • Proceedings of the National Academy of Sciences, Vol. 44, Issue 6
    • DOI: 10.1073/pnas.44.6.489

    On Force-Free Magnetic Fields.
    journal, July 1957

    • Chandrasekhar, S.; Kendall, P. C.
    • The Astrophysical Journal, Vol. 126
    • DOI: 10.1086/146413

    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
    • DOI: 10.1093/mnrasl/sly020