Measurements of the Canonical Helicity of a Gyrating Kink

von der Linden, Jens; Sears, Jason; Intrator, Thomas; You, Setthivoine

doi:10.1103/PhysRevLett.121.035001

Title: Measurements of the Canonical Helicity of a Gyrating Kink

Journal Article · Tue Jul 17 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.035001· OSTI ID:1460609

von der Linden, Jens; Sears, Jason; Intrator, Thomas; You, Setthivoine

Conversions between magnetic and kinetic energy occur over a range of plasma scales in astrophysical and solar dynamos and reconnection in the solar corona and the laboratory. Canonical flux tubes reconcile all plasma regimes with concepts of twists, writhes, and linkages. We present measurements of canonical flux tubes, their helicity, and their helicity transport in a gyrating plasma kink. The helicity gauge is removed with general techniques valid even if only a limited section of the plasma is measured. Temporal asymmetries in the helicities confirm irreducible 3D fields in the kink.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Aeronautics and Space Administration (NASA); National Science Foundation (NSF)

Grant/Contract Number:: SC0010340; AC52-07NA27344; NNHIOA044I-Basic

OSTI ID:: 1460609

Alternate ID(s):: OSTI ID: 1465280

Report Number(s):: LLNL-JRNL-747364; PRLTAO; 035001

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 121 Journal Issue: 3; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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References (36)

Some stationary solutions of two‐fluid magnetohydrodynamic equations Avinash, K. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 12 https://doi.org/10.1063/1.860342	journal	December 1992
The degree of knottedness of tangled vortex lines Moffatt, H. K. Journal of Fluid Mechanics, Vol. 35, Issue 1 https://doi.org/10.1017/S0022112069000991	journal	January 1969
Geometrical investigation of the kinetic evolution of the magnetic field in a periodic flux rope Restante, A. L.; Markidis, S.; Lapenta, G. Physics of Plasmas, Vol. 20, Issue 8 https://doi.org/10.1063/1.4817167	journal	August 2013
Reconnection scaling experiment: A new device for three-dimensional magnetic reconnection studies Furno, I.; Intrator, T.; Torbert, E. Review of Scientific Instruments, Vol. 74, Issue 4 https://doi.org/10.1063/1.1544051	journal	April 2003
Sausage instabilities on top of kinking lengthening current-carrying magnetic flux tubes von der Linden, Jens; You, Setthivoine Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4981231	journal	May 2017
A field theory approach to the evolution of canonical helicity and energy You, S. Physics of Plasmas, Vol. 23, Issue 7 https://doi.org/10.1063/1.4956465	journal	July 2016
Magnetic Helicity Generation by Solar Differential Rotation DeVore, C. Richard The Astrophysical Journal, Vol. 539, Issue 2 https://doi.org/10.1086/309274	journal	August 2000
Creation and dynamics of knotted vortices Kleckner, Dustin; Irvine, William T. M. Nature Physics, Vol. 9, Issue 4 https://doi.org/10.1038/nphys2560	journal	March 2013
Flux rope dynamics in three dimensions Sears, J.; Feng, Y.; Intrator, T. P. Plasma Physics and Controlled Fusion, Vol. 56, Issue 9 https://doi.org/10.1088/0741-3335/56/9/095022	journal	August 2014
Lessons from laboratory experiments on reconnection Stenzel, R. L.; Gekelman, W.; Urrutia, J. M. Advances in Space Research, Vol. 6, Issue 1 https://doi.org/10.1016/0273-1177(86)90025-6	journal	January 1986
Generalized relaxation theory and vortices in plasmas Oliveira, Samuel R.; Tajima, Toshiki Physical Review E, Vol. 52, Issue 4 https://doi.org/10.1103/PhysRevE.52.4287	journal	October 1995
Invariants and Geometric Structures in Nonlinear Hamiltonian Magnetic Reconnection Cafaro, E.; Grasso, D.; Pegoraro, F. Physical Review Letters, Vol. 80, Issue 20 https://doi.org/10.1103/PhysRevLett.80.4430	journal	May 1998
Hamiltonian formulation of low-frequency, nonlinear plasma dynamics Kuvshinov, B. N.; Pegoraro, F.; Schep, T. J. Physics Letters A, Vol. 191, Issue 3-4 https://doi.org/10.1016/0375-9601(94)90143-0	journal	August 1994
A two-fluid helicity transport model for flux-rope merging You, S. Plasma Physics and Controlled Fusion, Vol. 56, Issue 6 https://doi.org/10.1088/0741-3335/56/6/064007	journal	March 2014
Magnetic field line reconnection in the current systems of flux ropes and Alfvén waves Gekelman, W.; Lawrence, E.; Collette, A. Physica Scripta, Vol. T142 https://doi.org/10.1088/0031-8949/2010/T142/014032	journal	December 2010
Long-lifetime current-driven rotating kink modes in a non-line-tied plasma column with a free end: KINK MODES IN A FLUX ROPE WITH FREE END Intrator, T. P.; Furno, I.; Ryutov, D. D. Journal of Geophysical Research: Space Physics, Vol. 112, Issue A5 https://doi.org/10.1029/2006JA011995	journal	May 2007
Magnetic reconnection from a multiscale instability cascade Moser, Auna L.; Bellan, Paul M. Nature, Vol. 482, Issue 7385 https://doi.org/10.1038/nature10827	journal	February 2012
A three dimensional probe positioner Intrator, T.; Sun, X.; Dorf, L. Review of Scientific Instruments, Vol. 79, Issue 10 https://doi.org/10.1063/1.2956746	journal	October 2008
Appearance and Dynamics of Helical Flux Tubes under Electron Cyclotron Resonance Heating in the Core of KSTAR Plasmas Yun, G. S.; Park, H. K.; Lee, W. Physical Review Letters, Vol. 109, Issue 14 https://doi.org/10.1103/PhysRevLett.109.145003	journal	October 2012
Coalescence of Macroscopic Flux Ropes at the Subsolar Magnetopause: Magnetospheric Multiscale Observations Zhou, M.; Berchem, J.; Walker, R. J. Physical Review Letters, Vol. 119, Issue 5 https://doi.org/10.1103/PhysRevLett.119.055101	journal	August 2017
Pulsed currents carried by whistlers. VI. Nonlinear effects Urrutia, J. M.; Stenzel, R. L. Physics of Plasmas, Vol. 3, Issue 7 https://doi.org/10.1063/1.872080	journal	July 1996
The transport of relative canonical helicity You, S. Physics of Plasmas, Vol. 19, Issue 9 https://doi.org/10.1063/1.4752215	journal	September 2012
Helicity transformation under the collision and merging of two magnetic flux ropes DeHaas, Timothy; Gekelman, Walter Physics of Plasmas, Vol. 24, Issue 7 https://doi.org/10.1063/1.4991413	journal	July 2017
Solar chromospheric spicules from the leakage of photospheric oscillations and flows De Pontieu, Bart; Erdélyi, Robert; James, Stewart P. Nature, Vol. 430, Issue 6999 https://doi.org/10.1038/nature02749	journal	July 2004
Conservation of Magnetic Helicity during Plasma Relaxation Ji, H.; Prager, S. C.; Sarff, J. S. Physical Review Letters, Vol. 74, Issue 15 https://doi.org/10.1103/PhysRevLett.74.2945	journal	April 1995
Evolution of Magnetic Helicity During Eruptive Flares and Coronal Mass Ejections Priest, E. R.; Longcope, D. W.; Janvier, M. Solar Physics, Vol. 291, Issue 7 https://doi.org/10.1007/s11207-016-0962-6	journal	August 2016
Relaxation of a Two-Specie Magnetofluid Steinhauer, L. C.; Ishida, A. Physical Review Letters, Vol. 79, Issue 18 https://doi.org/10.1103/PhysRevLett.79.3423	journal	November 1997
Magnetic Helicity Estimations in Models and Observations of the Solar Magnetic Field. Part I: Finite Volume Methods Valori, Gherardo; Pariat, Etienne; Anfinogentov, Sergey Space Science Reviews, Vol. 201, Issue 1-4 https://doi.org/10.1007/s11214-016-0299-3	journal	October 2016
Hall Effects on Magnetic Relaxation Turner, Leaf IEEE Transactions on Plasma Science, Vol. 14, Issue 6 https://doi.org/10.1109/TPS.1986.4316633	journal	January 1986
Phenomenological theory of the kink instability in a slender plasma column Ryutov, D. D.; Furno, I.; Intrator, T. P. Physics of Plasmas, Vol. 13, Issue 3 https://doi.org/10.1063/1.2180667	journal	March 2006
The Topology of Canonical flux Tubes in Flared jet Geometry Lavine, Eric Sander; You, Setthivoine The Astrophysical Journal, Vol. 835, Issue 1 https://doi.org/10.3847/1538-4357/835/1/89	journal	January 2017
A generalized two-fluid picture of non-driven collisionless reconnection and its relation to whistler waves Yoon, Young Dae; Bellan, Paul M. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4982812	journal	May 2017
Complete measurement of helicity and its dynamics in vortex tubes Scheeler, Martin W.; van Rees, Wim M.; Kedia, Hridesh Science, Vol. 357, Issue 6350 https://doi.org/10.1126/science.aam6897	journal	August 2017
Demonstration of helicity conservation during magnetic reconnection using Christmas ribbons Pfister, Hans; Gekelman, Walter American Journal of Physics, Vol. 59, Issue 6 https://doi.org/10.1119/1.16808	journal	June 1991
Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields Taylor, J. B. Physical Review Letters, Vol. 33, Issue 19 https://doi.org/10.1103/PhysRevLett.33.1139	journal	November 1974
Microphysics of Cosmic Plasmas: Hierarchies of Plasma Instabilities from MHD to Kinetic Brown, M. R.; Browning, P. K.; Dieckmann, M. E. Space Science Reviews, Vol. 178, Issue 2-4 https://doi.org/10.1007/s11214-013-0005-7	journal	August 2013

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