Abstract
Kelvin–Helmholtz instability plays a particularly important role in plasma transport at magnetospheric boundaries because it can control the development of a turbulent boundary layer, which governs the transport of mass, momentum, and energy across the boundary. Waves generated at the interface can also couple into body modes in the plasma sheet and inner magnetosphere where they can play an important role in plasma sheet transport and particle energization in the inner magnetosphere. Kinetic and electron-scale effects are important for the development of K–H instability, leading to secondary instabilities and plasma mixing. The development of vortices that entwine magnetosheath field lines with magnetospheric field lines also allows reconnection and the interchange of plasma blobs from open to closed field lines. Dawn-dusk asymmetries in Kelvin–Helmholtz development at planetary boundary layers may result from several effects including plasma corotation, kinetic effects, magnetic geometry, or asymmetric distribution of plasma. Examples are provided throughout the solar system illustrating the pervasive effects of the Kelvin–Helmholtz instability on plasma transport.
Similar content being viewed by others
References
U.V. Amerstorfer, H. Gunell, N.V. Erkaev, H.K. Biernat, Shear driven waves in the induced magnetosphere of Mars: parameter dependence. Astrophys. Space Sci. Trans. 5, 39–42 (2009). doi:10.5194/astra-5-39-2009
E.E. Antonova, I.L. Ovchinnikov, Magnetostatically equilibrated plasma sheet with developed medium-scale turbulence: structure and implications for substorm dynamics. J. Geophys. Res. 104, 17289–17298 (1999). doi:10.1029/1999JA900141
K. Asamura, C.C. Chaston, Y. Itoh, M. Fujimoto, T. Sakanoi, Y. Ebihara, A. Yamazaki, M. Hirahara, K. Seki, Y. Kasaba, M. Okada, Sheared flows and small-scale Alfvén wave generation in the auroral acceleration region. Geophys. Res. Lett. 36, 5105 (2009). doi:10.1029/2008GL036803
J.W. Belcher, L. Davis Jr., Large-amplitude Alfvén waves in the interplanetary medium, 2. J. Geophys. Res. 76, 3534 (1971). doi:10.1029/JA076i016p03534
J. Birn, M. Hesse, K. Schindler, Entropy conservation in simulations of magnetic reconnection. Phys. Plasmas 13(9), 092117 (2006). doi:10.1063/1.2349440
S.A. Boardsen, T. Sundberg, J.A. Slavin, B.J. Anderson, H. Korth, S.C. Solomon, L.G. Blomberg, Observations of Kelvin–Helmholtz waves along the dusk-side boundary of Mercury’s magnetosphere during MESSENGER’s third flyby. Geophys. Res. Lett. 37, 12101 (2010). doi:10.1029/2010GL043606
J.E. Borovsky, H.O. Funsten, Role of solar wind turbulence in the coupling of the solar wind to the Earth’s magnetosphere. J. Geophys. Res. 108, 1246 (2003). doi:10.1029/2002JA009601
M. Bouhram, B. Klecker, G. Paschmann, S. Haaland, H. Hasegawa, A. Blagau, H. Rème, J.-A. Sauvaud, L.M. Kistler, A. Balogh, Survey of energetic O+ ions near the dayside mid-latitude magnetopause with cluster. Ann. Geophys. 23, 1281–1294 (2005)
N. Bucciantini, E. Amato, L. Del Zanna, Relativistic MHD simulations of pulsar bow-shock nebulae. Astron. Astrophys. 434, 189–199 (2005). doi:10.1051/0004-6361:20042205
L.J. Cahill Jr., J.R. Winckler, Periodic magnetopause oscillations observed with the GOES satellites on March 24, 1991. J. Geophys. Res. 97, 8239–8243 (1992). doi:10.1029/92JA00433
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, Oxford, 1961)
C.R. Chappell, T.E. Moore, J.H. Waite Jr., The ionosphere as a fully adequate source of plasma for the Earth’s magnetosphere. J. Geophys. Res. 92, 5896–5910 (1987)
C.C. Chaston, K. Seki, Small-scale auroral current sheet structuring. J. Geophys. Res. 115, 11221 (2010). doi:10.1029/2010JA015536
C.C. Chaston, M. Wilber, F.S. Mozer, M. Fujimoto, M.L. Goldstein, M. Acuna, H. Reme, A. Fazakerley, Mode conversion and anomalous transport in Kelvin–Helmholtz vortices and kinetic Alfvén waves at the Earth’s magnetopause. Phys. Rev. Lett. 99(17), 175004 (2007). doi:10.1103/PhysRevLett.99.175004
C.C. Chaston, Y. Yao, N. Lin, C. Salem, G. Ueno, Ion heating by broadband electromagnetic waves in the magnetosheath and across the magnetopause. J. Geophys. Res. 118, 5579–5591 (2013). doi:10.1002/jgra.50506
C. Chaston, J. Bonnell, J.P. McFadden, C.W. Carlson, C. Cully, O. Le Contel, A. Roux, H.U. Auster, K.H. Glassmeier, V. Angelopoulos, C.T. Russell, Turbulent heating and cross-field transport near the magnetopause from THEMIS. Geophys. Res. Lett. 35 (2008). doi:10.1029/2008GL033601
L. Chen, Theory of plasma transport induced by low-frequency hydromagnetic waves. J. Geophys. Res. 104, 2421–2428 (1999). doi:10.1029/1998JA900051
Q. Chen, A. Otto, L.C. Lee, Tearing instability, Kelvin–Helmholtz instability, and magnetic reconnection. J. Geophys. Res. 102, 151–162 (1997). doi:10.1029/96JA03144
S.-H. Chen, M.G. Kivelson, J.T. Gosling, R.J. Walker, A.J. Lazarus, Anomalous aspects of magnetosheath flow and of the shape and oscillations of the magnetopause during an interval of strongly northward interplanetary magnetic field. J. Geophys. Res. 98, 5727–5742 (1993)
S.G. Claudepierre, S.R. Elkington, M. Wiltberger, Solar wind driving of magnetospheric ULF waves: pulsations driven by velocity shear at the magnetopause. J. Geophys. Res. 113, 5218 (2008). doi:10.1029/2007JA012890
H.L. Collin, E.G. Shelley, A.G. Ghielmetti, R.D. Sharp, Observations of transverse and parallel acceleration of terrestrial ions at high latitudes, in Ion Acceleration in the Magnetosphere and Ionosphere; Proceedings of the Chapman Conference on Ion Acceleration in the Magnetosphere (Am. Geophys. Union, Washington, 1986), pp. 67–71
H.L. Collin, W.K. Peterson, O.W. Lennartsson, J.F. Drake, The seasonal variation of auroral ion beams. Geophys. Res. Lett. 25, 4071–4074 (1998). doi:10.1029/1998GL900090
M.M. Cowee, D. Winske, S.P. Gary, Two-dimensional hybrid simulations of superdiffusion at the magnetopause driven by Kelvin–Helmholtz instability. J. Geophys. Res. 114, 10209 (2009). doi:10.1029/2009JA014222
M.M. Cowee, D. Winske, S.P. Gary, Hybrid simulations of plasma transport by Kelvin–Helmholtz instability at the magnetopause: density variations and magnetic shear. J. Geophys. Res. 115, 6214 (2010). doi:10.1029/2009JA015011
N.U. Crooker, T.E. Eastman, G.S. Stiles, Observations of plasma depletion in the magnetosheath at the dayside magnetopause. J. Geophys. Res. 84, 869–874 (1979). doi:10.1029/JA084iA03p00869
B. Cushman-Roisin, Kelvin–Helmholtz instability as a boundary-value problem. Environ. Fluid Mech. 5(6), 507–525 (2005). doi:10.1007/s10652-005-2234-0
J.C. Cutler, M.K. Dougherty, E. Lucek, A. Masters, Evidence of surface wave on the dusk flank of Saturn’s magnetopause possibly caused by the Kelvin–Helmholtz instability. J. Geophys. Res. 116, 10220 (2011). doi:10.1029/2011JA016643
A.W. Degeling, R. Rankin, K. Kabin, I.J. Rae, F.R. Fenrich, Modeling ULF waves in a compressed dipole magnetic field. J. Geophys. Res. 115, 10212 (2010). doi:10.1029/2010JA015410
P.A. Delamere, Hybrid code simulations of the solar wind interaction with Pluto. J. Geophys. Res. 114, 3220 (2009). doi:10.1029/2008JA013756
P.A. Delamere, F. Bagenal, Solar wind interaction with Jupiter’s magnetosphere. J. Geophys. Res. 115, 10201 (2010). doi:10.1029/2010JA015347
P.A. Delamere, R.J. Wilson, A. Masters, Kelvin–Helmholtz instability at Saturn’s magnetopause: hybrid simulations. J. Geophys. Res. 116, 10222 (2011). doi:10.1029/2011JA016724
P.A. Delamere, R.J. Wilson, S. Eriksson, F. Bagenal, Magnetic signatures of Kelvin–Helmholtz vortices on Saturn’s magnetopause: global survey. J. Geophys. Res. 118, 393–404 (2013). doi:10.1029/2012JA018197
M. Desroche, F. Bagenal, P.A. Delamere, N. Erkaev, Conditions at the expanded Jovian magnetopause and implications for the solar wind interaction. J. Geophys. Res. 117, 7202 (2012). doi:10.1029/2012JA017621
M. Desroche, F. Bagenal, P.A. Delamere, N. Erkaev, Conditions at the magnetopause of Saturn and implications for the solar wind interaction. J. Geophys. Res. 118, 3087–3095 (2013). doi:10.1002/jgra.50294
M. Engebretson, K.-H. Glassmeier, M. Stellmacher, W.J. Hughes, H. Lühr, The dependence of high-latitude Pc5 wave power on solar wind velocity and on the phase of high-speed solar wind streams. J. Geophys. Res. 103, 26271–26384 (1998). doi:10.1029/97JA03143
S. Eriksson, H. Hasegawa, W.-L. Teh, B.U.Ö. Sonnerup, J.P. McFadden, K.-H. Glassmeier, O. Le Contel, V. Angelopoulos, C.M. Cully, D.E. Larson, R.E. Ergun, A. Roux, C.W. Carlson, Magnetic island formation between large-scale flow vortices at an undulating postnoon magnetopause for northward interplanetary magnetic field. J. Geophys. Res. 114, A1 (2009). doi:10.1029/2008JA013505
M. Faganello, F. Califano, F. Pegoraro, T. Andreussi, S. Benkadda, Magnetic reconnection and Kelvin–Helmholtz instabilities at the Earth’s magnetopause. Plasma Phys. Control. Fusion 54(12), 124037 (2012). doi:10.1088/0741-3335/54/12/124037
D.H. Fairfield, A. Otto, T. Mukai, S. Kokubun, R.P. Lepping, J.T. Steinberg, A.J. Lazarus, T. Yamamoto, Geotail observations of the Kelvin–Helmholtz instability at the equatorial magnetotail boundary for parallel northward fields. J. Geophys. Res. 105, 21159 (2000). doi:10.1029/1999JA000316
D.H. Fairfield, C.J. Farrugia, T. Mukai, T. Nagai, A. Fedorov, Motion of the dusk flank boundary layer caused by solar wind pressure changes and the Kelvin–Helmholtz instability: 10–11 January 1997. J. Geophys. Res. 108, 1460 (2003). doi:10.1029/2003JA010134
J.C. Foster, A.J. Coster, P.J. Erickson, J.M. Holt, F.D. Lind, W. Rideout, M. McCready, A. van Eyken, R.J. Barnes, R.A. Greenwald, F.J. Rich, Multiradar observations of the polar tongue of ionization. J. Geophys. Res. 110, 9 (2005). doi:10.1029/2004JA010928
C. Foullon, C.J. Farrugia, A.N. Fazakerley, C.J. Owen, F.T. Gratton, R.B. Torbert, Evolution of Kelvin–Helmholtz activity on the dusk flank magnetopause. J. Geophys. Res. 113, 11203 (2008). doi:10.1029/2008JA013175
C. Foullon, C.J. Farrugia, C.J. Owen, A.N. Fazakerley, F.T. Gratton, Kelvin–Helmholtz multi-spacecraft studies at the Earth’s magnetopause boundaries, in Twelfth International Solar Wind Conference, vol. 1216 (2010), pp. 483–486. doi:10.1063/1.3395908
M. Fujimoto, T. Terasawa, Ion inertia effect on the Kelvin–Helmholtz instability. J. Geophys. Res. 96, 15725 (1991). doi:10.1029/91JA01312
M. Fujimoto, T. Terasawa, Anomalous ion mixing within an MHD scale Kelvin–Helmholtz vortex. J. Geophys. Res. 99, 8601–8613 (1994). doi:10.1029/93JA02722
M. Fujimoto, T. Terasawa, Anomalous ion mixing within an MHD scale Kelvin–Helmholtz vortex. 2: effects of inhomogeneity. J. Geophys. Res. 100, 12025 (1995). doi:10.1029/94JA02219
M. Fujimoto, T. Tonooka, T. Mukai, Vortex-like fluctuations in the magnetotail flanks and their possible roles in plasma transport, in Earth’s Low-Latitude Boundary Layer, ed. by P. Newell, T. Onsager Geophysical Monograph (Am. Geophys. Union, Washington, 2003), pp. 241–251
M. Fujimoto, T. Terasawa, T. Mukai, Y. Saito, T. Yamamoto, S. Kokubun, Plasma entry from the flanks of the near-Earth magnetotail. J. Geophys. Res. 103, 4391–4408 (1998)
G. Ganguli, Stability of an inhomogeneous transverse plasma flow. Phys. Plasmas 4, 1544–1551 (1997). doi:10.1063/1.872285
G. Ganguli, Y.C. Lee, P.J. Palmadesso, Kinetic theory for electrostatic waves due to transverse velocity shears. Phys. Fluids 31, 823–838 (1988). doi:10.1063/1.866818
E. Golbraikh, M. Gedalin, M. Balikhin, T.L. Zhang, Large amplitude nonlinear waves in Venus magnetosheath. J. Geophys. Res. 118, 1706–1710 (2013). doi:10.1002/jgra.50094
H. Gunell, U.V. Amerstorfer, H. Nilsson, C. Grima, M. Koepke, M. Fränz, J.D. Winningham, R.A. Frahm, J.-A. Sauvaud, A. Fedorov, N.V. Erkaev, H.K. Biernat, M. Holmström, R. Lundin, S. Barabash, Shear driven waves in the induced magnetosphere of Mars. Plasma Phys. Control. Fusion 50(7), 074018 (2008). doi:10.1088/0741-3335/50/7/074018
X.C. Guo, C. Wang, Y.Q. Hu, Global MHD simulation of the Kelvin–Helmholtz instability at the magnetopause for northward interplanetary magnetic field. J. Geophys. Res. 115, 10218 (2010). doi:10.1029/2009JA015193
T.J. Hallinan, T.N. Davis, Small-scale auroral arc distortions. Planet. Space Sci. 18, 1735 (1970). doi:10.1016/0032-0633(70)90007-3
A. Hasegawa, L. Chen, Kinetic processes in plasma heating by resonant mode conversion of Alfvén wave. Phys. Fluids 19, 1924–1934 (1976). doi:10.1063/1.861427
H. Hasegawa, M. Fujimoto, K. Maezawa, Y. Saito, T. Mukai, Geotail observations of the dayside outer boundary region. J. Geophys. Res. 108, 9–1916 (2003)
H. Hasegawa, B. Sonnerup, M. Dunlop, A. Balogh, S. Haaland, B. Klecker, G. Paschmann, B. Lavraud, I. Dandouras, H. Rème, Reconstruction of two-dimensional magnetopause structures from cluster observations: verification of method. Ann. Geophys. 22, 1251–1266 (2004a). doi:10.5194/angeo-22-1251-2004
H. Hasegawa, M. Fujimoto, T.-D. Phan, H. Rème, A. Balogh, M.W. Dunlop, C. Hashimoto, R. TanDokoro, Transport of solar wind into Earth’s magnetosphere through rolled-up Kelvin–Helmholtz vortices. Nature 430, 755–758 (2004b). doi:10.1038/nature02799
H. Hasegawa, B.U.Ö. Sonnerup, B. Klecker, G. Paschmann, M.W. Dunlop, H. Rème, Optimal reconstruction of magnetopause structures from cluster data. Ann. Geophys. 23, 973–982 (2005). doi:10.5194/angeo-23-973-2005
H. Hasegawa, M. Fujimoto, K. Takagi, Y. Saito, T. Mukai, H. RèMe, Single-spacecraft detection of rolled-up Kelvin–Helmholtz vortices at the flank magnetopause. J. Geophys. Res. 111, 9203 (2006). doi:10.1029/2006JA011728
H. Hasegawa, A. Retinò, A. Vaivads, Y. Khotyaintsev, M. André, T.K.M. Nakamura, W.-L. Teh, B.U.Ö. Sonnerup, S.J. Schwartz, Y. Seki, M. Fujimoto, Y. Saito, H. Rème, P. Canu, Kelvin–Helmholtz waves at the Earth’s magnetopause: multiscale development and associated reconnection. J. Geophys. Res. 114, 12207 (2009). doi:10.1029/2009JA014042
M. Hesse, J. Birn, On the cessation of magnetic reconnection. Ann. Geophys. 22, 603–612 (2004). doi:10.5194/angeo-22-603-2004
J.L. Horwitz, R.H. Comfort, C.R. Chappell, Thermal ion composition measurements of the formation of the new outer plasmasphere and double plasmapause during storm recovery phase. Geophys. Res. Lett. 11, 701–704 (1984)
Z.-J. Hu, H.-G. Yang, H.-Q. Hu, B.-C. Zhang, D.-H. Huang, Z.-T. Chen, Q. Wang, The hemispheric conjugate observation of postnoon ”bright spots”/auroral spirals. J. Geophys. Res. 118, 1428–1434 (2013). doi:10.1002/jgra.50243
J.D. Huba, Hall dynamics of the Kelvin–Helmholtz instability. Phys. Rev. Lett. 72, 2033–2036 (1994)
J.D. Huba, The Kelvin–Helmholtz instability: finite Larmor radius magnetohydrodynamics. Geophys. Res. Lett. 23, 2907–2910 (1996). doi:10.1029/96GL02767
K.-J. Hwang, M.M. Kuznetsova, F. Sahraoui, M.L. Goldstein, E. Lee, G.K. Parks, Kelvin–Helmholtz waves under southward interplanetary magnetic field. J. Geophys. Res. 116, 8210 (2011). doi:10.1029/2011JA016596
T. Iijima, T.A. Potemra, Large-scale characteristics of field-aligned currents associated with substorms. J. Geophys. Res. 83, 599–615 (1978). doi:10.1029/JA083iA02p00599
J.R. Johnson, C.Z. Cheng, Kinetic Alfvén waves and plasma transport at the magnetopause. Geophys. Res. Lett. 24, 1423–1426 (1997). doi:10.1029/97GL01333
J.R. Johnson, C.Z. Cheng, Stochastic ion heating at the magnetopause due to kinetic Alfvén waves. Geophys. Res. Lett. 28, 4421–4424 (2001). doi:10.1029/2001GL013509
J.R. Johnson, S. Wing, Northward interplanetary magnetic field plasma sheet entropies. J. Geophys. Res. 114, A9 (2009). doi:10.1029/2008JA014017
J.R. Johnson, C.Z. Cheng, P. Song, Signatures of mode conversion and kinetic Alfvén waves at the magnetopause. Geophys. Res. Lett. 28, 227–230 (2001). doi:10.1029/2000GL012048
J. Johnson, A. Otto, Y. Lin, S. Wing, E. Kim, Heavy ion effects on magnetopause transport. AGU Fall Meeting Abstracts, 2 (2009)
H. Karimabadi, V. Roytershteyn, C.G. Mouikis, L.M. Kistler, W. Daughton, Flushing effect in reconnection: effects of minority species of oxygen ions. Planet. Space Sci. 59, 526–536 (2011). doi:10.1016/j.pss.2010.07.014
M.C. Kelley, M.N. Vlasov, J.C. Foster, A.J. Coster, A quantitative explanation for the phenomenon known as storm-enhanced density. Geophys. Res. Lett. 31, 19809 (2004). doi:10.1029/2004GL020875
M.G. Kivelson, S.-H. Chen, The magnetopause: surface waves and instabilities and their possible dynamical consequences, in Physics of the Magnetopause, ed. by P. Song, B.U.O. Sonnerup, M.F. Thomsen Geophysical Monograph (Am. Geophys. Union, Washington, 1995), pp. 257–268
Y. Kobayashi, M. Kato, K.T.A. Nakamura, T.K.M. Nakamura, M. Fujimoto, The structure of Kelvin Helmholtz vortices with super-sonic flow. Adv. Space Res. 41, 1325–1330 (2008). doi:10.1016/j.asr.2007.04.016
L.C. Lee, R.K. Albano, J.R. Kan, Kelvin–Helmholtz instability in the magnetopause-boundary layer region. J. Geophys. Res. 86, 54–58 (1981). doi:10.1029/JA086iA01p00054
W. Li, C. Wang, B. Tang, X. Guo, D. Lin, Global features of Kelvin–Helmholtz waves at the magnetopause for northward interplanetary magnetic field. J. Geophys. Res. 118, 5118–5126 (2013). doi:10.1002/jgra.50498
A.P. Lobanov, J.A. Zensus, A cosmic double helix in the archetypical quasar 3C273. Science 294, 128–131 (2001). doi:10.1126/science.1063239
W. Lotko, The magnetosphere ionosphere system from the perspective of plasma circulation: a tutorial. J. Atmos. Sol.-Terr. Phys. 69, 191–211 (2007). doi:10.1016/j.jastp.2006.08.011
A.T.Y. Lui, D. Venkatesan, J.S. Murphree, Auroral bright spots on the dayside oval. J. Geophys. Res. 94, 5515–5522 (1989). doi:10.1029/JA094iA05p05515
R.L. Lysak, Y. Song, Coupling of Kelvin–Helmholtz and current sheet instabilities to the ionosphere: a dynamic theory of auroral spirals. J. Geophys. Res. 101, 15411–15422 (1996). doi:10.1029/96JA00521
X. Ma, A. Otto, P.A. Delamere, Interaction of magnetic reconnection and kelvin–Helmholtz modes for large magnetic shear: 1. Kelvin–Helmholtz trigger. J. Geophys. Res. (2014a). doi:10.1002/2013JA019224
X. Ma, A. Otto, P.A. Delamere, Interaction of magnetic reconnection and Kelvin–Helmholtz modes for large magnetic shear: 2. reconnection trigger. J. Geophys. Res. (2014b). doi:10.1002/2013JA019225
I.R. Mann, A.N. Wright, K.J. Mills, V.M. Nakariakov, Excitation of magnetospheric waveguide modes by magnetosheath flows. J. Geophys. Res. 104, 333–354 (1999). doi:10.1029/1998JA900026
S. Markidis, G. Lapenta, L. Bettarini, M. Goldman, D. Newman, L. Andersson, Kinetic simulations of magnetic reconnection in presence of a background O+ population. J. Geophys. Res. 116, A1 (2011). doi:10.1029/2011JA016429
A. Masters, N. Achilleos, C. Bertucci, M.K. Dougherty, S.J. Kanani, C.S. Arridge, H.J. McAndrews, A.J. Coates, Surface waves on Saturn’s dawn flank magnetopause driven by the Kelvin–Helmholtz instability. Planet. Space Sci. 57, 1769–1778 (2009). doi:10.1016/j.pss.2009.02.010
A. Masters, N. Achilleos, M.G. Kivelson, N. Sergis, M.K. Dougherty, M.F. Thomsen, C.S. Arridge, S.M. Krimigis, H.J. McAndrews, S.J. Kanani, N. Krupp, A.J. Coates, Cassini observations of a Kelvin–Helmholtz vortex in Saturn’s outer magnetosphere. J. Geophys. Res. 115, 7225 (2010). doi:10.1029/2010JA015351
A. Masters, N. Achilleos, J.C. Cutler, A.J. Coates, M.K. Dougherty, G.H. Jones, Surface waves on Saturn’s magnetopause. Planet. Space Sci. 65, 109–121 (2012). doi:10.1016/j.pss.2012.02.007
R.A. Mathie, I.R. Mann, Observations of Pc5 field line resonance azimuthal phase speeds: a diagnostic of their excitation mechanism. J. Geophys. Res. 105, 10713–10728 (2000). doi:10.1029/1999JA000174
Y. Matsumoto, M. Hoshino, Onset of turbulence induced by a Kelvin–Helmholtz vortex. Geophys. Res. Lett. 31, 2807 (2004). doi:10.1029/2003GL018195
Y. Matsumoto, M. Hoshino, Turbulent mixing and transport of collisionless plasmas across a stratified velocity shear layer. J. Geophys. Res. 111, 5213 (2006). doi:10.1029/2004JA010988
Y. Matsumoto, K. Seki, Formation of a broad plasma turbulent layer by forward and inverse energy cascades of the Kelvin–Helmholtz instability. J. Geophys. Res. 115, 10231 (2010). doi:10.1029/2009JA014637
B.H. Mauk, D.C. Hamilton, T.W. Hill, G.B. Hospodarsky, R.E. Johnson, C. Paranicas, E. Roussos, C.T. Russell, D.E. Shemansky, E.C. Sittler, R.M. Thorne, Fundamental plasma processes in Saturn’s magnetosphere, in Saturn from Cassini–Huygens, ed. by M.K. Dougherty, L.W. Esposito, S.M. Krimigis (Springer, Berlin, 2009), p. 281. doi:10.1007/978-1-4020-9217-6_11
H. Mavromichalaki, X. Moussas, J.J. Quenby, J.F. Valdes-Galicia, E.J. Smith, Relatively stable, large-amplitude Alfvénic waves seen at 2.5 and 5.0 AU. Sol. Phys. 116, 377–390 (1988). doi:10.1007/BF00157485
D.J. McComas, F. Bagenal, Reply to comment by S.W.H. Cowley et al. on “Jupiter: a fundamentally different magnetospheric interaction with the solar wind”. Geophys. Res. Lett. 35, 10103 (2008). doi:10.1029/2008GL034351
M.G. McHarg, J.V. Olson, Correlated optical and ULF magnetic observations of the winter cusp-boundary layer system. Geophys. Res. Lett. 19, 817–820 (1992). doi:10.1029/92GL00117
V.G. Merkin, Effects of ionospheric O+ on the magnetopause boundary wave activity, in American Institute of Physics Conference Series, ed. by D. Vassiliadis, S.F. Fung, X. Shao, I.A. Daglis, J.D. Huba American Institute of Physics Conference Series, vol. 1320, 2011, pp. 208–212. doi:10.1063/1.3544326
V.G. Merkin, J.G. Lyon, S.G. Claudepierre, Kelvin–Helmholtz instability of the magnetospheric boundary in a three-dimensional global MHD simulation during northward IMF conditions. J. Geophys. Res. 118, 5478–5496 (2013). doi:10.1002/jgra.50520
A. Miura, Anomalous transport by magnetohydrodynamic Kelvin–Helmholtz instabilities in the solar wind-magnetosphere interaction. J. Geophys. Res. 89, 801–818 (1984)
A. Miura, Simulation of Kelvin–Helmholtz instability at the magnetospheric boundary. J. Geophys. Res. 92, 3195–3206 (1987). doi:10.1029/JA092iA04p03195
A. Miura, Kelvin–Helmholtz instability at the magnetospheric boundary—dependence on the magnetosheath sonic Mach number. J. Geophys. Res. 97, 10655 (1992). doi:10.1029/92JA00791
A. Miura, Stabilization of the Kelvin–Helmholtz instability by the transverse magnetic field in the magnetosphere–ionosphere coupling system. Geophys. Res. Lett. 23, 761–764 (1996). doi:10.1029/96GL00598
A. Miura, Compressible magnetohydrodynamic Kelvin–Helmholtz instability with vortex pairing in the two-dimensional transverse configuration. Phys. Plasmas 4, 2871–2885 (1997). doi:10.1063/1.872419
A. Miura, Nonideal magnetohydrodynamic Kelvin–Helmholtz instability driven by the shear in the ion diamagnetic drift velocity in a high-β plasma. Phys. Plasmas 8, 5291–5295 (2001). doi:10.1063/1.1421618
A. Miura, P.L. Pritchett, Nonlocal stability analysis of the MHD Kelvin–Helmholtz instability in a compressible plasma. J. Geophys. Res. 87, 7431–7444 (1982). doi:10.1029/JA087iA09p07431
H. Nakai, G. Ueno, Plasma structures of Kelvin–Helmholtz billows at the duskside flank of the magnetotail. J. Geophys. Res. 116, 8212 (2011). doi:10.1029/2010JA016286
T.K.M. Nakamura, M. Fujimoto, Magnetic effects on the coalescence of Kelvin–Helmholtz vortices. Phys. Rev. Lett. 101(16), 165002 (2008). doi:10.1103/PhysRevLett.101.165002
T.K.M. Nakamura, M. Fujimoto, A. Otto, Magnetic reconnection induced by weak Kelvin–Helmholtz instability and the formation of the low-latitude boundary layer. Geophys. Res. Lett. 33, 14106 (2006). doi:10.1029/2006GL026318
T.K.M. Nakamura, H. Hasegawa, I. Shinohara, Kinetic effects on the Kelvin–Helmholtz instability in ion-to-magnetohydrodynamic scale transverse velocity shear layers: particle simulations. Phys. Plasmas 17(4), 042119 (2010). doi:10.1063/1.3385445
T.K.M. Nakamura, H. Hasegawa, I. Shinohara, M. Fujimoto, Evolution of an MHD-scale Kelvin–Helmholtz vortex accompanied by magnetic reconnection: two-dimensional particle simulations. J. Geophys. Res. 116, 3227 (2011). doi:10.1029/2010JA016046
T.K.M. Nakamura, W. Daughton, H. Karimabadi, S. Eriksson, Three-dimensional dynamics of vortex-induced reconnection and comparison with THEMIS observations. J. Geophys. Res. 118, 5742–5757 (2013). doi:10.1002/jgra.50547
T.K. Nakamura, D. Hayashi, M. Fujimoto, I. Shinohara, Decay of MHD-scale Kelvin–Helmholtz vortices mediated by parasitic electron dynamics. Phys. Rev. Lett. 92(14), 145001 (2004). doi:10.1103/PhysRevLett.92.145001
M. Neugebauer, B. Buti, A search for evidence of the evolution of rotational discontinuities in the solar wind from nonlinear Alfvén waves. J. Geophys. Res. 95, 13–20 (1990). doi:10.1029/JA095iA01p00013
M.N. Nishino, M. Fujimoto, G. Ueno, T. Mukai, Y. Saito, Origin of temperature anisotropies in the cold plasma sheet: geotail observations around the Kelvin–Helmholtz vortices. Ann. Geophys. 25, 2069–2086 (2007). doi:10.5194/angeo-25-2069-2007
K. Nykyri, Impact of MHD shock physics on magnetosheath asymmetry and Kelvin–Helmholtz instability. J. Geophys. Res. 118, 5068–5081 (2013). doi:10.1002/jgra.50499
K. Nykyri, C. Foullon, First magnetic seismology of the CME reconnection outflow layer in the low corona with 2.5-D MHD simulations of the Kelvin–Helmholtz instability. J. Geophys. Res. 40, 4154–4159 (2013). doi:10.1002/grl.50807
K. Nykyri, A. Otto, Plasma transport at the magnetospheric boundary due to reconnection in Kelvin–Helmholtz vortices. Geophys. Res. Lett. 28, 3565–3568 (2001). doi:10.1029/2001GL013239
K. Nykyri, A. Otto, Influence of the Hall term on KH instability and reconnection inside KH vortices. Ann. Geophys. 22, 935–949 (2004). doi:10.5194/angeo-22-935-2004
K. Nykyri, A. Otto, B. Lavraud, C. Mouikis, L.M. Kistler, A. Balogh, H. Rème, Cluster observations of reconnection due to the Kelvin–Helmholtz instability at the dawnside magnetospheric flank. Ann. Geophys. 24, 2619–2643 (2006)
K.W. Ogilvie, R.J. Fitzenreiter, The Kelvin–Helmholtz instability at the magnetopause and inner boundary layer surface. J. Geophys. Res. 94, 15113–15123 (1989). doi:10.1029/JA094iA11p15113
M. Øieroset, J. Raeder, T.D. Phan, S. Wing, J.P. McFadden, W. Li, M. Fujimoto, H. Rème, A. Balogh, Global cooling and densification of the plasma sheet during an extended period of purely northward IMF on October 22–24, 2003. Geophys. Res. Lett. 32, 12 (2005). doi:10.1029/2004GL021523
A. Otto, D.H. Fairfield, Kelvin–Helmholtz instability at the magnetotail boundary: MHD simulation and comparison with Geotail observations. J. Geophys. Res. 105, 21175 (2000). doi:10.1029/1999JA000312
A. Otto, Mass transport at the magnetospheric flanks associated with three-dimensional Kelvin–Helmholtz modes, abstract #SM33B-0365, in AGU Fall Meeting Abstracts, 2006. AGU Fall Meeting Abstracts
J. Paral, R. Rankin, Dawn-dusk asymmetry in the Kelvin–Helmholtz instability at Mercury. Nature Communications 4 (2013). doi:10.1038/ncomms2676
J.R. Peñano, G. Ganguli, Generation of ELF electromagnetic waves in the ionosphere by localized transverse dc electric fields: subcyclotron frequency regime. J. Geophys. Res. 105, 7441–7458 (2000). doi:10.1029/1999JA000303
T. Penz, N.V. Erkaev, H.K. Biernat, H. Lammer, U.V. Amerstorfer, H. Gunell, E. Kallio, S. Barabash, S. Orsini, A. Milillo, W. Baumjohann, Ion loss on Mars caused by the Kelvin Helmholtz instability. Planet. Space Sci. 52, 1157–1167 (2004). doi:10.1016/j.pss.2004.06.001
W.K. Peterson, L. Andersson, B.C. Callahan, H.L. Collin, J.D. Scudder, A.W. Yau, Solar-minimum quiet time ion energization and outflow in dynamic boundary related coordinates. J. Geophys. Res. 113, 7222 (2008). doi:10.1029/2008JA013059
W.K. Peterson, L. Andersson, B. Callahan, S.R. Elkington, R.W. Winglee, J.D. Scudder, H.L. Collin, Geomagnetic activity dependence of O+ in transit from the ionosphere. J. Atmos. Sol.-Terr. Phys. 71, 1623–1629 (2009). doi:10.1016/j.jastp.2008.11.003
T.D. Phan, D.E. Larson, R.P. Lin, J.P. McFadden, K.A. Anderson, C.W. Carlson, R.E. Ergun, S.M. Ashford, M.P. McCarthy, G.K. Parks, H. Rème, J.M. Bosqued, C. D’Uston, K.-P. Wenzel, T.R. Sanderson, A. Szabo, The subsolar magnetosheath and magnetopause for high solar wind ram pressure: WIND observations. Geophys. Res. Lett. 23, 1279–1282 (1996). doi:10.1029/96GL00845
S.A. Pope, M.A. Balikhin, T.L. Zhang, A.O. Fedorov, M. Gedalin, S. Barabash, Giant vortices lead to ion escape from Venus and re-distribution of plasma in the ionosphere. J. Geophys. Res. 36, 7202 (2009). doi:10.1029/2008GL036977
T.A. Potemra, R.E. Erlandson, H. Vo, D. Venkatesan, L.L. Cogger, Periodic auroral forms and geomagnetic field oscillations in the 1400 MLT region. J. Geophys. Res. 95, 5835–5844 (1990). doi:10.1029/JA095iA05p05835
Z.-Y. Pu, M.G. Kivelson, Kelvin–Helmholtz instability at the magnetopause. I—Solution for compressible plasmas. II—Energy flux into the magnetosphere. J. Geophys. Res. 88, 841–861 (1983). doi:10.1029/JA088iA02p00841
M. Rubin, K.C. Hansen, M.R. Combi, L.K.S. Daldorff, T.I. Gombosi, V.M. Tenishev, Kelvin–Helmholtz instabilities at the magnetic cavity boundary of comet 67P/Churyumov–Gerasimenko. J. Geophys. Res. 117, 6227 (2012). doi:10.1029/2011JA017300
J. Semeter, C.J. Heinselman, J.P. Thayer, R.A. Doe, H.U. Frey, Ion upflow enhanced by drifting F-region plasma structure along the nightside polar cap boundary. Geophys. Res. Lett. 30, 2139 (2003)
J. Seon, L.A. Frank, A.J. Lazarus, R.P. Lepping, Surface waves on the tailward flanks of the Earth’s magnetopause. J. Geophys. Res. 100, 11907 (1995)
C.E. Seyler, A mathematical model of the structure and evolution of small-scale discrete auroral arcs. J. Geophys. Res. 95, 17199–17215 (1990). doi:10.1029/JA095iA10p17199
M.A. Shay, M. Swisdak, Three-species collisionless reconnection: effect of O+ on magnetotail reconnection. Phys. Rev. Lett. 93(17), 175001 (2004). doi:10.1103/PhysRevLett.93.175001
E.G. Shelley, H.L. Collin, Auroral ion acceleration and its relationship to ion composition, in Auroral Physics, ed. by C.-I. Meng, M.J. Rycroft, L.A. Frank, 1991, p. 129
E.G. Shelley, R.G. Johnson, R.D. Sharp, Satellite observations of energetic heavy ions during a geomagnetic storm. J. Geophys. Res. 77, 6104–6110 (1972). doi:10.1029/JA077i031p06104
J.A. Slavin, M.H. Acuña, B.J. Anderson, D.N. Baker, M. Benna, G. Gloeckler, R.E. Gold, G.C. Ho, R.M. Killen, H. Korth, S.M. Krimigis, R.L. McNutt, L.R. Nittler, J.M. Raines, D. Schriver, S.C. Solomon, R.D. Starr, P. Trávníček, T.H. Zurbuchen, Mercury’s magnetosphere after MESSENGER’s first flyby. Science 321, 85 (2008). doi:10.1126/science.1159040
R. Smets, D. Delcourt, G. Chanteur, T.E. Moore, On the incidence of Kelvin–Helmholtz instability for mass exchange process at the Earth’s magnetopause. Ann. Geophys. 20, 757–769 (2002). doi:10.5194/angeo-20-757-2002
R. Smets, G. Belmont, D. Delcourt, L. Rezeau, Diffusion at the Earth magnetopause: enhancement by Kelvin–Helmholtz instability. Ann. Geophys. 25, 271–282 (2007). doi:10.5194/angeo-25-271-2007
T. Sundberg, S.A. Boardsen, J.A. Slavin, L.G. Blomberg, J.A. Cumnock, S.C. Solomon, B.J. Anderson, H. Korth, Reconstruction of propagating Kelvin–Helmholtz vortices at Mercury’s magnetopause. Planet. Space Sci. 59, 2051–2057 (2011). doi:10.1016/j.pss.2011.05.008
T. Sundberg, S.A. Boardsen, J.A. Slavin, B.J. Anderson, H. Korth, T.H. Zurbuchen, J.M. Raines, S.C. Solomon, MESSENGER orbital observations of large-amplitude Kelvin–Helmholtz waves at Mercury’s magnetopause. J. Geophys. Res. 117, 4216 (2012). doi:10.1029/2011JA017268
K. Takagi, C. Hashimoto, H. Hasegawa, M. Fujimoto, R. Tandokoro, Kelvin–Helmholtz instability in a magnetotail flank-like geometry: three-dimensional MHD simulations. J. Geophys. Res. 111, 8202 (2006). doi:10.1029/2006JA011631
Y. Taroyan, R. Erdélyi, Resonant and Kelvin–Helmholtz instabilities on the magnetopause. Phys. Plasmas 9, 3121–3129 (2002). doi:10.1063/1.1481746
M.G.G.T. Taylor, B. Lavraud, Observation of three distinct ion populations at the Kelvin–Helmholtz-unstable magnetopause. Ann. Geophys. 26, 1559–1566 (2008). doi:10.5194/angeo-26-1559-2008
M.G.G.T. Taylor, B. Lavraud, C.P. Escoubet, S.E. Milan, K. Nykyri, M.W. Dunlop, J.A. Davies, R.H.W. Friedel, H. Frey, Y.V. Bogdanova, A. Åsnes, H. Laakso, P. Trávníček, A. Masson, H. Opgenoorth, C. Vallat, A.N. Fazakerley, A.D. Lahiff, C.J. Owen, F. Pitout, Z. Pu, C. Shen, Q.G. Zong, H. Rème, J. Scudder, T.L. Zhang, The plasma sheet and boundary layers under northward IMF: a multi-point and multi-instrument perspective. Adv. Space Res. 41, 1619–1629 (2008). doi:10.1016/j.asr.2007.10.013
M.G.G.T. Taylor, H. Hasegawa, B. Lavraud, T. Phan, C.P. Escoubet, M.W. Dunlop, Y.V. Bogdanova, A.L. Borg, M. Volwerk, J. Berchem, O.D. Constantinescu, J.P. Eastwood, A. Masson, H. Laakso, J. Soucek, A.N. Fazakerley, H.U. Frey, E.V. Panov, C. Shen, J.K. Shi, D.G. Sibeck, Z.Y. Pu, J. Wang, J.A. Wild, Spatial distribution of rolled up Kelvin–Helmholtz vortices at Earth’s dayside and flank magnetopause. Ann. Geophys. 30, 1025–1035 (2012). doi:10.5194/angeo-30-1025-2012
N. Terada, S. Machida, H. Shinagawa, Global hybrid simulation of the Kelvin–Helmholtz instability at the Venus ionopause. J. Geophys. Res. 107, 1471 (2002). doi:10.1029/2001JA009224
V.A. Thomas, D. Winske, Kinetic simulation of the Kelvin–Helmholtz instability at the Venus ionopause. Geophys. Res. Lett. 18, 1943–1946 (1991). doi:10.1029/91GL02552
V.A. Thomas, D. Winske, Kinetic simulations of the Kelvin–Helmholtz instability at the magnetopause. J. Geophys. Res. 98, 11425 (1993). doi:10.1029/93JA00604
M.F. Thomsen, D.B. Reisenfeld, D.M. Delapp, R.L. Tokar, D.T. Young, F.J. Crary, E.C. Sittler, M.A. McGraw, J.D. Williams, Survey of ion plasma parameters in Saturn’s magnetosphere. J. Geophys. Res. 115, 10220 (2010). doi:10.1029/2010JA015267
H. Turkakin, R. Rankin, I.R. Mann, Primary and secondary compressible Kelvin–Helmholtz surface wave instabilities on the Earth’s magnetopause. Journal of Geophysical Research: Space Physics, 4161–4175 (2013). doi:10.1002/jgra.50394. http://dx.doi.org/10.1002/jgra.50394
J.S. Wagner, R.D. Sydora, T. Tajima, T. Hallinan, L.C. Lee, S.-I. Akasofu, Small-scale auroral Arc deformations. J. Geophys. Res. 88, 8013–8019 (1983). doi:10.1029/JA088iA10p08013
R.J. Walker, K. Fukazawa, T. Ogino, D. Morozoff, A simulation study of Kelvin–Helmholtz waves at Saturn’s magnetopause. J. Geophys. Res. 116, 3203 (2011). doi:10.1029/2010JA015905
C. Wang, J.W. Belcher, Numerical investigation of hydrodynamic instabilities of the heliopause. J. Geophys. Res. 103, 247 (1998). doi:10.1029/97JA02773
C.-P. Wang, L.R. Lyons, T. Nagai, J.M. Weygand, A.T.Y. Lui, Evolution of plasma sheet particle content under different interplanetary magnetic field conditions. J. Geophys. Res. 115, 6210 (2010). doi:10.1029/2009JA015028
C.Q. Wei, L.C. Lee, Coupling of magnetopause-boundary layer to the polar ionosphere. J. Geophys. Res. 98, 5707–5725 (1993). doi:10.1029/92JA02232
M. Wilber, R.M. Winglee, Dawn-dusk asymmetries in the low-latitude boundary layer arising from the Kelvin–Helmholtz instability: a particle simulation. J. Geophys. Res. 100, 1883–1898 (1995). doi:10.1029/94JA02488
R.J. Wilson, P.A. Delamere, F. Bagenal, A. Masters, Kelvin–Helmholtz instability at Saturn’s magnetopause: Cassini ion data analysis. J. Geophys. Res. 117, 3212 (2012). doi:10.1029/2011JA016723
C.D. Winant, F.K. Browand, Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237–255 (1974). doi:10.1017/S0022112074001121
S. Wing, J.R. Johnson, Substorm entropies. J. Geophys. Res. 114, A9 (2009). doi:10.1029/2008JA013989
S. Wing, J.R. Johnson, Introduction to special section on entropy properties and constraints related to space plasma transport. J. Geophys. Res. 115, A1 (2010). doi:10.1029/2009JA014911
S. Wing, J.R. Johnson, M. Fujimoto, Timescale for the formation of the cold-dense plasma sheet: a case study. Geophys. Res. Lett. 33, 23106 (2006). doi:10.1029/2006GL027110
S. Wing, J.R. Johnson, P.T. Newell, C.-I. Meng, Dawn-dusk asymmetries, ion spectra, and sources in the northward interplanetary magnetic field plasma sheet. J. Geophys. Res. 110, 8205 (2005). doi:10.1029/2005JA011086
S. Wing, J.W. Gjerloev, J.R. Johnson, R.A. Hoffman, Substorm plasma sheet ion pressure profiles. Geophys. Res. Lett. 34, 16110 (2007). doi:10.1029/2007GL030453
S. Wing, M. Gkioulidou, J.R. Johnson, P.T. Newell, C.-P. Wang, Auroral particle precipitation characterized by the substorm cycle. J. Geophys. Res. 118, 1022–1039 (2013). doi:10.1002/jgra.50160
S. Wing, J.R. Johnson, C.C. Chaston, M. Echim, C.P. Escoubet, B. Lavraud, J. Lemaire, C. Lemon, J. Raeder, K. Nykyri, A. Otto, C.-P. Wang, Review of solar wind entry and transport within the plasma sheet. Space Science Reviews (2014). Submitted
K. Wu, C.E. Seyler, Instability of inertial Alfvén waves in transverse sheared flow. J. Geophys. Res. 108, 1236 (2003). doi:10.1029/2002JA009631
T. Yamamoto, A linear analysis of the hybrid Kelvin–Helmholtz/Rayleigh–Taylor instability in an electrostatic magnetosphere-ionosphere coupling system. J. Geophys. Res. 113, 6206 (2008). doi:10.1029/2007JA012850
A.W. Yau, M. Andre, Sources of ion outflow in the high latitude ionosphere. Space Sci. Rev. 80, 1–25 (1997)
A.W. Yau, B.A. Whalen, W.K. Peterson, E.G. Shelley, Distribution of upflowing ionospheric ions in the high-altitude polar cap and auroral ionosphere. J. Geophys. Res. 89, 5507–5522 (1984)
Y. Yu, A.J. Ridley, Exploring the influence of ionospheric O+ outflow on magnetospheric dynamics: the effect of outflow intensity. J. Geophys. Res. 118, 5522–5531 (2013). doi:10.1002/jgra.50528
Acknowledgements
Simon Wing gratefully acknowledges support from NSF Grants ATM-0802715, and AGS-1058456 and NASA Grant NNX13AE12G. Jay Johnson was funded by NASA grants (NNH09AM53I, NNH09AK63I, and NNH11AR07I), NSF Grants ATM0902730 and AGS-1203299, and DOE contract DE-AC02-09CH11466. We acknowledge the support of the International Space Science Institute (ISSI) International Teams Program, which made it possible for a small team of scientists to convene and have in-depth, informal discussions on topics relevant to this paper. Last but not least, we also thank NSF GEM for supporting Plasma entry and transport into and within the magnetotail (PET) Focus Group, which provided a forum for fruitful discussions of the topics covered in this paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Johnson, J.R., Wing, S. & Delamere, P.A. Kelvin Helmholtz Instability in Planetary Magnetospheres. Space Sci Rev 184, 1–31 (2014). https://doi.org/10.1007/s11214-014-0085-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11214-014-0085-z