A hybrid Rayleigh-Taylor-current-driven coupled instability in a magnetohydrodynamically collimated cylindrical plasma with lateral gravity

Zhai, Xiang; Bellan, Paul M.

doi:10.1063/1.4943896

A hybrid Rayleigh-Taylor-current-driven coupled instability in a magnetohydrodynamically collimated cylindrical plasma with lateral gravity

Journal Article · Tue Mar 01 00:00:00 EST 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4943896· OSTI ID:1468770

Zhai, Xiang ^[1]; ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Applied Physics; California Institute of Technology
California Inst. of Technology (CalTech), Pasadena, CA (United States). Applied Physics

Here we present an MHD theory of Rayleigh-Taylor instability on the surface of a magnetically confined cylindrical plasma flux rope in a lateral external gravity field. The Rayleigh-Taylor instability is found to couple to the classic current-driven instability, resulting in a new type of hybrid instability that cannot be described by either of the two instabilities alone. The lateral gravity breaks the axisymmetry of the system and couples all azimuthal modes together. The coupled instability, produced by combination of helical magnetic field, curvature of the cylindrical geometry, and lateral gravity, is fundamentally different from the classic magnetic Rayleigh-Taylor instability occurring at a two-dimensional planar interface. The theory successfully explains the lateral Rayleigh-Taylor instability observed in the Caltech plasma jet experiment [Moser and Bellan, Nature 482, 379 (2012)]. Finally, potential applications of the theory include magnetic controlled fusion, solar emerging flux, solar prominences, coronal mass ejections, and other space and astrophysical plasma processes.

View Accepted Manuscript (DOE)

Research Organization:: California Inst. of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: FG02-04ER54755; SC0010471

OSTI ID:: 1468770

Alternate ID(s):: OSTI ID: 1242862
OSTI ID: 22599026

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 23; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (43)

Tridiagonal Toeplitz matrices: properties and novel applications: TRIDIAGONAL TOEPLITZ MATRICES Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar Numerical Linear Algebra with Applications, Vol. 20, Issue 2 https://doi.org/10.1002/nla.1811	journal	March 2012
Fundamentals of Plasma Physics Bittencourt, J. A. https://doi.org/10.1007/978-1-4757-4030-1	book	January 2004
Instability by magnetic buoyancy Acheson, D. J. Solar Physics, Vol. 62, Issue 1 https://doi.org/10.1007/BF00150129	journal	May 1979
Island arc and mid-ocean ridge volcanism, modelled by diapirism from linear source regions Kerr, Ross C.; Lister, John R. Earth and Planetary Science Letters, Vol. 88, Issue 1-2 https://doi.org/10.1016/0012-821X(88)90053-2	journal	April 1988
An overview of Rayleigh-Taylor instability Sharp, D. H. Physica D: Nonlinear Phenomena, Vol. 12, Issue 1-3 https://doi.org/10.1016/0167-2789(84)90510-4	journal	July 1984
Fundamentals of Plasma Physics Bellan, Paul M. Cambridge University Press https://doi.org/10.1017/CBO9780511807183	book	January 2006
Rayleigh–Taylor instability of an inclined buoyant viscous cylinder Lister, John R.; Kerr, Ross C.; Russell, Nick J. Journal of Fluid Mechanics, Vol. 671 https://doi.org/10.1017/S0022112010005689	journal	February 2011
The effect of geometry on the gravitational instability of a buoyant region of viscous fluid Lister, John R.; Kerr, Ross C. Journal of Fluid Mechanics, Vol. 202 https://doi.org/10.1017/S0022112089001308	journal	May 1989
The ballooning instability in space plasmas Hameiri, E.; Laurence, P.; Mond, M. Journal of Geophysical Research: Space Physics, Vol. 96, Issue A2 https://doi.org/10.1029/90JA02100	journal	February 1991
Filamentary structure on the Sun from the magnetic Rayleigh–Taylor instability Isobe, Hiroaki; Miyagoshi, Takehiro; Shibata, Kazunari Nature, Vol. 434, Issue 7032 https://doi.org/10.1038/nature03399	journal	March 2005
Magneto-thermal convection in solar prominences Berger, Thomas; Testa, Paola; Hillier, Andrew Nature, Vol. 472, Issue 7342 https://doi.org/10.1038/nature09925	journal	April 2011
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
Toward detailed prominence seismology: I. Computing accurate 2.5D magnetohydrodynamic equilibria Blokland, J. W. S.; Keppens, R. Astronomy & Astrophysics, Vol. 532 https://doi.org/10.1051/0004-6361/201117013	journal	August 2011
Toward detailed prominence seismology: II. Charting the continuous magnetohydrodynamic spectrum Blokland, J. W. S.; Keppens, R. Astronomy & Astrophysics, Vol. 532 https://doi.org/10.1051/0004-6361/201117014	journal	July 2011
Synergistic mitigation of the Rayleigh–Taylor instability in Z-pinch implosions by sheared axial flow and finite Larmor radius effect Qiu, X. M.; Huang, L.; Jian, G. D. Physics of Plasmas, Vol. 10, Issue 7 https://doi.org/10.1063/1.1582472	journal	July 2003
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field Harris, E. G. Physics of Fluids, Vol. 5, Issue 9 https://doi.org/10.1063/1.1724473	journal	January 1962
Plasma tubes becoming collimated as a result of magnetohydrodynamic pumping Yun, Gunsu S.; Bellan, Paul M. Physics of Plasmas, Vol. 17, Issue 6 https://doi.org/10.1063/1.3437075	journal	June 2010
Extreme ultra-violet burst, particle heating, and whistler wave emission in fast magnetic reconnection induced by kink-driven Rayleigh-Taylor instability Chai, Kil-Byoung; Zhai, Xiang; Bellan, Paul M. Physics of Plasmas, Vol. 23, Issue 3 https://doi.org/10.1063/1.4944390	journal	March 2016
Self-consistent growth rate of the Rayleigh–Taylor instability in an ablatively accelerating plasma Takabe, H.; Mima, K.; Montierth, L. Physics of Fluids, Vol. 28, Issue 12 https://doi.org/10.1063/1.865099	journal	January 1985
Two‐dimensional modeling of magnetically driven Rayleigh–Taylor instabilities in cylindrical Z pinches Peterson, D. L.; Bowers, R. L.; Brownell, J. H. Physics of Plasmas, Vol. 3, Issue 1 https://doi.org/10.1063/1.871862	journal	January 1996
Z pinches as intense x-ray sources for high-energy density physics applications Matzen, M. Keith Physics of Plasmas, Vol. 4, Issue 5 https://doi.org/10.1063/1.872323	journal	May 1997
Growth rates of the ablative Rayleigh–Taylor instability in inertial confinement fusion Betti, R.; Goncharov, V. N.; McCrory, R. L. Physics of Plasmas, Vol. 5, Issue 5 https://doi.org/10.1063/1.872802	journal	May 1998
A new look at the instability of a stratified horizontal magnetic field Hughes, D. W.; Cattaneo, F. Geophysical & Astrophysical Fluid Dynamics, Vol. 39, Issue 1-2 https://doi.org/10.1080/03091928708208806	journal	July 1987
The Dynamical State of the Interstellar Gas and Field Parker, E. N. The Astrophysical Journal, Vol. 145 https://doi.org/10.1086/148828	journal	August 1966
High‐Beta Disruption in the Solar Atmosphere Shibasaki, Kiyoto The Astrophysical Journal, Vol. 557, Issue 1 https://doi.org/10.1086/321651	journal	August 2001
Observational Consequences of a Magnetic Flux Rope Emerging into the Corona Gibson, S. E.; Fan, Y.; Mandrini, C. The Astrophysical Journal, Vol. 617, Issue 1 https://doi.org/10.1086/425294	journal	December 2004
The Magnetic Rayleigh‐Taylor Instability in Three Dimensions Stone, James M.; Gardiner, Thomas The Astrophysical Journal, Vol. 671, Issue 2 https://doi.org/10.1086/523099	journal	December 2007
INITIATION OF CORONAL MASS EJECTION AND ASSOCIATED FLARE CAUSED BY HELICAL KINK INSTABILITY OBSERVED BY SDO /AIA Kumar, Pankaj; Cho, K. -S.; Bong, S. -C. The Astrophysical Journal, Vol. 746, Issue 1 https://doi.org/10.1088/0004-637X/746/1/67	journal	January 2012
Three-Dimensional mhd Simulation of the Caltech Plasma jet Experiment: First Results Zhai, Xiang; Li, Hui; Bellan, Paul M. The Astrophysical Journal, Vol. 791, Issue 1 https://doi.org/10.1088/0004-637X/791/1/40	journal	July 2014
Morphology and Dynamics of Solar Prominences from 3d mhd Simulations Terradas, J.; Soler, R.; Luna, M. The Astrophysical Journal, Vol. 799, Issue 1 https://doi.org/10.1088/0004-637X/799/1/94	journal	January 2015
Fundamentals of Plasma Physics Cargill, P. J. Plasma Physics and Controlled Fusion, Vol. 49, Issue 2 https://doi.org/10.1088/0741-3335/49/2/b01	journal	January 2007
Numerical Simulations of the Magnetic Rayleigh-Taylor Instability in the Kippenhahn-SchlÜTer Prominence Model Hillier, Andrew; Isobe, Hiroaki; Shibata, Kazunari The Astrophysical Journal, Vol. 736, Issue 1 https://doi.org/10.1088/2041-8205/736/1/L1	journal	June 2011
Solar Prominences: “Double, Double… boil and Bubble” Keppens, R.; Xia, C.; Porth, O. The Astrophysical Journal, Vol. 806, Issue 1 https://doi.org/10.1088/2041-8205/806/1/L13	journal	June 2015
Three-Dimensional Simulation of Solar Emerging Flux Using the Earth Simulator I. Magnetic Rayleigh-Taylor Instability at the Top of the Emerging Flux as the Origin of Filamentary Structure Isobe, Hiroaki; Miyagoshi, Takehiro; Shibata, Kazunari Publications of the Astronomical Society of Japan, Vol. 58, Issue 2 https://doi.org/10.1093/pasj/58.2.423	journal	April 2006
Some instabilities of a completely ionized plasma Kruskal, Martin DAvid; Schwarzschild, Martin Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 223, Issue 1154, p. 348-360 https://doi.org/10.1098/rspa.1954.0120	journal	May 1954
Nonequilibrium Alfvénic Plasma Jets Associated with Spheromak Formation Kumar, Deepak; Bellan, Paul M. Physical Review Letters, Vol. 103, Issue 10 https://doi.org/10.1103/PhysRevLett.103.105003	journal	September 2009
Theory of Ballooning Modes in Tokamaks with Finite Shear Dobrott, D.; Nelson, D. B.; Greene, J. M. Physical Review Letters, Vol. 39, Issue 15 https://doi.org/10.1103/PhysRevLett.39.943	journal	October 1977
Experimental Identification of the Kink Instability as a Poloidal Flux Amplification Mechanism for Coaxial Gun Spheromak Formation Hsu, S. C.; Bellan, P. M. Physical Review Letters, Vol. 90, Issue 21 https://doi.org/10.1103/PhysRevLett.90.215002	journal	May 2003
Torus Instability Kliem, B.; Török, T. Physical Review Letters, Vol. 96, Issue 25 https://doi.org/10.1103/PhysRevLett.96.255002	journal	June 2006
Fundamentals of Plasma Physics Schmidt, George Nuclear Science and Engineering, Vol. 79, Issue 4 https://doi.org/10.13182/nse81-a21396	journal	December 1981
The Magnetic Rayleigh-Taylor Instability in Three Dimensions Stone, James M.; Gardiner, Thomas arXiv https://doi.org/10.48550/arxiv.0709.0452	text	January 2007
Numerical Simulations of the Magnetic Rayleigh-Taylor Instability in the Kippenhahn-Schlüter Prominence Model Hillier, Andrew; Isobe, Hiroaki; Shibata, Kazunari arXiv https://doi.org/10.48550/arxiv.1106.2613	text	January 2011
Three-Dimensional MHD Simulation of Caltech Plasma Jet Experiment: First Results Zhai, Xiang; Li, Hui; Bellan, Paul M. arXiv https://doi.org/10.48550/arxiv.1407.3498	text	January 2014

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Experiments relevant to astrophysical jets Bellan, P. M. Journal of Plasma Physics, Vol. 84, Issue 5 https://doi.org/10.1017/s002237781800079x	journal	September 2018
Laboratory Measurement of Large‐Amplitude Whistler Pulses Generated by Fast Magnetic Reconnection Haw, Magnus A.; Seo, Byonghoon; Bellan, Paul M. Geophysical Research Letters, Vol. 46, Issue 13 https://doi.org/10.1029/2019gl082621	journal	July 2019
An intuitive two-fluid picture of spontaneous 2D collisionless magnetic reconnection and whistler wave generation Yoon, Young Dae; Bellan, Paul M. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5016345	journal	May 2018
On the nature of the magnetic Rayleigh–Taylor instability in astrophysical plasma: the case of uniform magnetic field strength Hillier, Andrew S. Monthly Notices of the Royal Astronomical Society, Vol. 462, Issue 2 https://doi.org/10.1093/mnras/stw1805	journal	July 2016
Exploring astrophysics-relevant magnetohydrodynamics with pulsed-power laboratory facilities Lebedev, S. V.; Frank, A.; Ryutov, D. D. Reviews of Modern Physics, Vol. 91, Issue 2 https://doi.org/10.1103/revmodphys.91.025002	journal	April 2019
On the nature of the magnetic Rayleigh–Taylor instability in astrophysical plasma: the case of uniform magnetic field strength Hillier, Andrew S. Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.4385	text	January 2016
Magnetic Rayleigh–Taylor Instability in an Experiment Simulating a Solar Loop Zhang, Yang; Wongwaitayakornkul, Pakorn; Bellan, Paul M. The Astrophysical Journal, Vol. 889, Issue 2 https://doi.org/10.3847/2041-8213/ab6b2d	journal	January 2020

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