Energy dynamics and current sheet structure in fluid and kinetic simulations of decaying magnetohydrodynamic turbulence
Abstract
We performed simulations of decaying magnetohydrodynamic (MHD) turbulence with a fluid and a kinetic code. The initial condition is an ensemble of long-wavelength, counter-propagating, shear-Alfvén waves, which interact and rapidly generate strong MHD turbulence. The total energy is conserved and the rate of turbulent energy decay is very similar in both codes, although the fluid code has numerical dissipation, whereas the kinetic code has kinetic dissipation. The inertial range power spectrum index is similar in both the codes. The fluid code shows a perpendicular wavenumber spectral slope of k-1.3⊥k⊥-1.3. The kinetic code shows a spectral slope of k-1.5⊥k⊥-1.5 for smaller simulation domain, and k-1.3⊥k⊥-1.3 for larger domain. We then estimate that collisionless damping mechanisms in the kinetic code can account for the dissipation of the observed nonlinear energy cascade. Current sheets are geometrically characterized. Their lengths and widths are in good agreement between the two codes. The length scales linearly with the driving scale of the turbulence. In the fluid code, their thickness is determined by the grid resolution as there is no explicit diffusivity. In the kinetic code, their thickness is very close to the skin-depth, irrespective of the grid resolution. Finally, this work shows that kinetic codes canmore »
- Authors:
-
- Univ. of Chicago, IL (United States)
- Univ. of Wisconsin, Madison, WI (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1291217
- Alternate Identifier(s):
- OSTI ID: 1228297
- Report Number(s):
- LA-UR-15-22879
Journal ID: ISSN 1070-664X; PHPAEN
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 4; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Astronomy and Astrophysics
Citation Formats
Makwana, K. D., Zhdankin, V., Li, H., Daughton, W., and Cattaneo, F. Energy dynamics and current sheet structure in fluid and kinetic simulations of decaying magnetohydrodynamic turbulence. United States: N. p., 2015.
Web. doi:10.1063/1.4916492.
Makwana, K. D., Zhdankin, V., Li, H., Daughton, W., & Cattaneo, F. Energy dynamics and current sheet structure in fluid and kinetic simulations of decaying magnetohydrodynamic turbulence. United States. https://doi.org/10.1063/1.4916492
Makwana, K. D., Zhdankin, V., Li, H., Daughton, W., and Cattaneo, F. Fri .
"Energy dynamics and current sheet structure in fluid and kinetic simulations of decaying magnetohydrodynamic turbulence". United States. https://doi.org/10.1063/1.4916492. https://www.osti.gov/servlets/purl/1291217.
@article{osti_1291217,
title = {Energy dynamics and current sheet structure in fluid and kinetic simulations of decaying magnetohydrodynamic turbulence},
author = {Makwana, K. D. and Zhdankin, V. and Li, H. and Daughton, W. and Cattaneo, F.},
abstractNote = {We performed simulations of decaying magnetohydrodynamic (MHD) turbulence with a fluid and a kinetic code. The initial condition is an ensemble of long-wavelength, counter-propagating, shear-Alfvén waves, which interact and rapidly generate strong MHD turbulence. The total energy is conserved and the rate of turbulent energy decay is very similar in both codes, although the fluid code has numerical dissipation, whereas the kinetic code has kinetic dissipation. The inertial range power spectrum index is similar in both the codes. The fluid code shows a perpendicular wavenumber spectral slope of k-1.3⊥k⊥-1.3. The kinetic code shows a spectral slope of k-1.5⊥k⊥-1.5 for smaller simulation domain, and k-1.3⊥k⊥-1.3 for larger domain. We then estimate that collisionless damping mechanisms in the kinetic code can account for the dissipation of the observed nonlinear energy cascade. Current sheets are geometrically characterized. Their lengths and widths are in good agreement between the two codes. The length scales linearly with the driving scale of the turbulence. In the fluid code, their thickness is determined by the grid resolution as there is no explicit diffusivity. In the kinetic code, their thickness is very close to the skin-depth, irrespective of the grid resolution. Finally, this work shows that kinetic codes can reproduce the MHD inertial range dynamics at large scales, while at the same time capturing important kinetic physics at small scales.},
doi = {10.1063/1.4916492},
journal = {Physics of Plasmas},
number = 4,
volume = 22,
place = {United States},
year = {Fri Apr 10 00:00:00 EDT 2015},
month = {Fri Apr 10 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
MHD Turbulence at the Laboratory Scale: Established Ideas and New Challenges
journal, March 1997
- Moreau, René
- Applied Scientific Research, Vol. 58, Issue 1/4, p. 131-147
Colloquium: Magnetohydrodynamic turbulence and time scales in astrophysical and space plasmas
journal, December 2004
- Zhou, Ye; Matthaeus, W.; Dmitruk, P.
- Reviews of Modern Physics, Vol. 76, Issue 4
Inertial-Range Spectrum of Hydromagnetic Turbulence
journal, January 1965
- Kraichnan, Robert H.
- Physics of Fluids, Vol. 8, Issue 7
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence
journal, January 1995
- Goldreich, P.; Sridhar, S.
- The Astrophysical Journal, Vol. 438
MHD‐driven Kinetic Dissipation in the Solar Wind and Corona
journal, July 2000
- Leamon, R. J.; Matthaeus, W. H.; Smith, C. W.
- The Astrophysical Journal, Vol. 537, Issue 2
Turbulent heating in galaxy clusters brightest in X-rays
journal, October 2014
- Zhuravleva, I.; Churazov, E.; Schekochihin, A. A.
- Nature, Vol. 515, Issue 7525
A model of turbulence in magnetized plasmas: Implications for the dissipation range in the solar wind: DISSIPATION OF THE SOLAR WIND
journal, May 2008
- Howes, G. G.; Cowley, S. C.; Dorland, W.
- Journal of Geophysical Research: Space Physics, Vol. 113, Issue A5
Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional Plasmas
journal, May 2009
- Schekochihin, A. A.; Cowley, S. C.; Dorland, W.
- The Astrophysical Journal Supplement Series, Vol. 182, Issue 1
Kinetic Simulations of Magnetized Turbulence in Astrophysical Plasmas
journal, February 2008
- Howes, G. G.; Dorland, W.; Cowley, S. C.
- Physical Review Letters, Vol. 100, Issue 6
Spectral features of solar wind turbulent plasma: Spectral features of solar wind turbulent plasma
journal, December 2009
- Shaikh, Dastgeer; Zank, G. P.
- Monthly Notices of the Royal Astronomical Society, Vol. 400, Issue 4
Test Particle Energization by Current Sheets and Nonuniform Fields in Magnetohydrodynamic Turbulence
journal, December 2004
- Dmitruk, Pablo; Matthaeus, W. H.; Seenu, N.
- The Astrophysical Journal, Vol. 617, Issue 1
On the Spectrum of Magnetohydrodynamic Turbulence
journal, May 2005
- Boldyrev, Stanislav
- The Astrophysical Journal, Vol. 626, Issue 1
Intermittent Dissipation at Kinetic Scales in Collisionless Plasma Turbulence
journal, November 2012
- Wan, M.; Matthaeus, W. H.; Karimabadi, H.
- Physical Review Letters, Vol. 109, Issue 19
Statistical Analysis of Current Sheets in Three-Dimensional Magnetohydrodynamic Turbulence
journal, June 2013
- Zhdankin, Vladimir; Uzdensky, Dmitri A.; Perez, Jean C.
- The Astrophysical Journal, Vol. 771, Issue 2
Coherent structures, intermittent turbulence, and dissipation in high-temperature plasmas
journal, January 2013
- Karimabadi, H.; Roytershteyn, V.; Wan, M.
- Physics of Plasmas, Vol. 20, Issue 1
Current Sheets and Collisionless Damping in Kinetic Plasma Turbulence
journal, June 2013
- TenBarge, J. M.; Howes, G. G.
- The Astrophysical Journal, Vol. 771, Issue 2
Collisionless Damping at Electron Scales in Solar wind Turbulence
journal, August 2013
- TenBarge, J. M.; Howes, G. G.; Dorland, W.
- The Astrophysical Journal, Vol. 774, Issue 2
An oscillating Langevin antenna for driving plasma turbulence simulations
journal, February 2014
- TenBarge, J. M.; Howes, G. G.; Dorland, W.
- Computer Physics Communications, Vol. 185, Issue 2
PLUTO: A Numerical Code for Computational Astrophysics
journal, May 2007
- Mignone, A.; Bodo, G.; Massaglia, S.
- The Astrophysical Journal Supplement Series, Vol. 170, Issue 1
Ultrahigh performance three-dimensional electromagnetic relativistic kinetic plasma simulation
journal, May 2008
- Bowers, K. J.; Albright, B. J.; Yin, L.
- Physics of Plasmas, Vol. 15, Issue 5
Shell-to-shell energy transfer in magnetohydrodynamics. I. Steady state turbulence
journal, October 2005
- Alexakis, Alexandros; Mininni, Pablo D.; Pouquet, Annick
- Physical Review E, Vol. 72, Issue 4
Scale Locality of Magnetohydrodynamic Turbulence
journal, February 2010
- Aluie, Hussein; Eyink, Gregory L.
- Physical Review Letters, Vol. 104, Issue 8
On Weak and Strong Magnetohydrodynamic Turbulence
journal, December 2007
- Perez, Jean Carlos; Boldyrev, Stanislav
- The Astrophysical Journal, Vol. 672, Issue 1
Quantifying energetics and dissipation in magnetohydrodynamic turbulence
journal, December 2013
- Salvesen, Greg; Beckwith, Kris; Simon, Jacob B.
- Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 2
Dissipation Wavenumbers for Turbulence in Electron–Positron Plasmas
journal, August 2009
- Peter Gary, S.; Karimabadi, Homa; Roytershteyn, Vadim S.
- The Astrophysical Journal, Vol. 701, Issue 2
Energy Dissipation in Magnetohydrodynamic Turbulence: Coherent Structures or “Nanoflares”?
journal, October 2014
- Zhdankin, Vladimir; Boldyrev, Stanislav; Perez, Jean Carlos
- The Astrophysical Journal, Vol. 795, Issue 2
Streaming sausage, kink and tearing instabilities in a current sheet with applications to the Earth's magnetotail
journal, January 1988
- Lee, L. C.; Wang, S.; Wei, C. Q.
- Journal of Geophysical Research, Vol. 93, Issue A7
Kinetic theory of the drift kink instability in a current sheet
journal, December 1998
- Daughton, William
- Journal of Geophysical Research: Space Physics, Vol. 103, Issue A12
Decay Laws for Three-Dimensional Magnetohydrodynamic Turbulence
journal, September 1999
- Biskamp, Dieter; Müller, Wolf-Christian
- Physical Review Letters, Vol. 83, Issue 11
Spectral Scaling laws in Magnetohydrodynamic Turbulence Simulations and in the Solar wind
journal, October 2011
- Boldyrev, Stanislav; Carlos Perez, Jean; Borovsky, Joseph E.
- The Astrophysical Journal, Vol. 741, Issue 1
Dissipation in Compressible Magnetohydrodynamic Turbulence
journal, November 1998
- Stone, James M.; Ostriker, Eve C.; Gammie, Charles F.
- The Astrophysical Journal, Vol. 508, Issue 1
Compressible Sub-Alfvénic MHD Turbulence in Low- Plasmas
journal, May 2002
- Cho, Jungyeon; Lazarian, A.
- Physical Review Letters, Vol. 88, Issue 24
Magnetic Reconnection in Two-Dimensional Magnetohydrodynamic Turbulence
journal, March 2009
- Servidio, S.; Matthaeus, W. H.; Shay, M. A.
- Physical Review Letters, Vol. 102, Issue 11
Energy transfer in Hall-MHD turbulence: cascades, backscatter, and dynamo action
journal, June 2007
- Mininni, Pablo D.; Alexakis, Alexandros; Pouquet, Annick
- Journal of Plasma Physics, Vol. 73, Issue 3
Works referencing / citing this record:
Slab magnetised non-relativistic low-beta electron–positron plasmas: collisionless heating, linear waves and reconnecting instabilities
journal, December 2017
- Zocco, Alessandro
- Journal of Plasma Physics, Vol. 83, Issue 6
Kinetic Properties of Solar Wind Discontinuities at 1 AU Observed by ARTEMIS
journal, June 2019
- Artemyev, A. V.; Angelopoulos, V.; Vasko, I. Y.
- Journal of Geophysical Research: Space Physics, Vol. 124, Issue 6
Particle acceleration during magnetic reconnection in a low-beta pair plasma
journal, May 2016
- Guo, Fan; Li, Hui; Daughton, William
- Physics of Plasmas, Vol. 23, Issue 5
Driving reconnection in sheared magnetic configurations with forced fluctuations
journal, February 2018
- Pongkitiwanichakul, Peera; Makwana, Kirit D.; Ruffolo, David
- Physics of Plasmas, Vol. 25, Issue 2
Study of magnetic reconnection in large-scale magnetic island coalescence via spatially coupled MHD and PIC simulations
journal, August 2018
- Makwana, Kirit D.; Keppens, Rony; Lapenta, Giovanni
- Physics of Plasmas, Vol. 25, Issue 8
3D turbulent reconnection: Theory, tests, and astrophysical implications
journal, January 2020
- Lazarian, Alex; Eyink, Gregory L.; Jafari, Amir
- Physics of Plasmas, Vol. 27, Issue 1
Observations of AlfvÉN and slow Waves in the Solar wind near 1 au
journal, December 2015
- Shi, M. J.; Xiao, C. J.; Li, Q. S.
- The Astrophysical Journal, Vol. 815, Issue 2
Stochastic reacceleration of relativistic electrons by turbulent reconnection: a mechanism for cluster-scale radio emission?
journal, March 2016
- Brunetti, G.; Lazarian, A.
- Monthly Notices of the Royal Astronomical Society, Vol. 458, Issue 3
Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime
journal, February 2018
- Comisso, L.; Huang, Y. -M.; Lingam, M.
- The Astrophysical Journal, Vol. 854, Issue 2
Parametric Decay Instability and Dissipation of Low-frequency Alfvén Waves in Low-beta Turbulent Plasmas
journal, March 2018
- Fu, Xiangrong; Li, Hui; Guo, Fan
- The Astrophysical Journal, Vol. 855, Issue 2
Dissipation Scale Lengths of Solar Wind Turbulence
journal, February 2019
- Raja, K. Sasikumar; Subramanian, Prasad; Ingale, Madhusudan
- The Astrophysical Journal, Vol. 872, Issue 1
Contextual Predictions for the Parker Solar Probe . I. Critical Surfaces and Regions
journal, March 2019
- Chhiber, Rohit; Usmanov, Arcadi V.; Matthaeus, William H.
- The Astrophysical Journal Supplement Series, Vol. 241, Issue 1
Turbulence in Magnetized Pair Plasmas
journal, October 2018
- Loureiro, Nuno F.; Boldyrev, Stanislav
- The Astrophysical Journal, Vol. 866, Issue 1
Stochastic reacceleration of relativistic electrons by turbulent reconnection: a mechanism for cluster-scale radio emission ?
text, January 2016
- Brunetti, G.; Lazarian, A.
- arXiv
Particle Acceleration during Magnetic Reconnection in a Low-beta Pair Plasma
text, January 2016
- Guo, Fan; Li, Hui; Daughton, William
- arXiv
Parametric Decay Instability and Dissipation of Low-frequency Alfvén Waves in Low-beta Turbulent Plasmas
text, January 2017
- Fu, Xiangrong; Li, Hui; Guo, Fan
- arXiv
Magnetohydrodynamic Turbulence in the Plasmoid-Mediated Regime
text, January 2018
- Comisso, L.; Huang, Y. -M.; Lingam, M.
- arXiv
Role of the Plasmoid Instability in Magnetohydrodynamic Turbulence
text, January 2018
- Dong, Chuanfei; Wang, Liang; Huang, Yi-Min
- arXiv
Contextual Predictions for Parker Solar Probe I: Critical Surfaces and Regions
text, January 2018
- Chhiber, Rohit; Usmanov, Arcadi V.; Matthaeus, William H.
- arXiv
3D Turbulent Reconnection: Theory, Tests and Astrophysical Implications
text, January 2020
- Lazarian, Alex; Eyink, Gregory L.; Jafari, Amir
- arXiv