Abstract
The theory of the acceleration of auroral particles is reviewed, focusing on developments in the last 15 years. We discuss elementary plasma physics processes leading to acceleration of electrons to energies compatible with emission observed for quiet, discrete auroral arcs, defined as arcs that have time scales of minutes or more and spatial scales ranging from less than 1 km to tens of kilometers. For context, earlier observations are first described briefly. The theoretical fundamentals of auroral particle acceleration are based on the kinetic theory of plasmas, in particular the development of parallel electric fields. These parallel electric fields can either be distributed along the magnetic field lines, often associated with the mirror geometry of the geomagnetic field, or concentrated into narrow regions of charge separation known as double layers. Observations have indicated that the acceleration process depends on whether the field-aligned currents are directed away from the Earth, toward the Earth, or in mixed regions of currents often associated with the propagation of Alfvén waves. Recent observations from the NASA Fast Auroral SnapshoT (FAST) satellite, the ESA satellite constellation Cluster, and the Japanese Reimei satellite have provided new insights into the auroral acceleration process and have led to further refinements to the theory of auroral particle acceleration.
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References
H. Alfvén, On the theory of magnetic storms and aurorae. Tellus 10, 104 (1958)
H. Alfven (1986). Double layers and circuits in astrophysics (TRITA-EPP–86-04). Sweden
H. Alfvén, C.-G. Fälthammar, Cosmic Electrodynamics (Clarendon Press, Oxford, 1963)
L. Alm, B. Li, G.T. Marklund, T. Karlsson, Statistical altitude distribution of the auroral density cavity. J. Geophys. Res. Space Phys. 120, 996–1006 (2015a). https://doi.org/10.1002/2014JA020691
L. Alm, G.T. Marklund, T. Karlsson, Electron density and parallel electric field distribution of the auroral density cavity. J. Geophys. Res. Space Phys. 120, 9428–9441 (2015b). https://doi.org/10.1002/2015JA021593
L. Andersson, R.E. Ergun, D.L. Newman, J.P. McFadden, C.W. Carlson, Y.J. Su, Characteristics of parallel electric fields in the downward current region of the aurora. Phys. Plasmas 9(8), 3600–3609 (2002)
M. André, L. Eliasson, Electron acceleration by low frequency electric field fluctuations: electron conics. Geophys. Res. Lett. 19, 1073 (1992)
T.M. Antonsen Jr., B. Lane, Kinetic equations for low frequency instabilities in inhomogeneous plasma. Phys. Fluids 23, 1205–1214 (1980)
R.L. Arnoldy, T.E. Moore, L.J. Cahill, Low-altitude field-aligned electrons. J. Geophys. Res. 90, 8445 (1985)
A.V. Artemyev, R. Rankin, M. Blanco, Electron trapping and acceleration by kinetic Alfvén waves in the inner magnetosphere. J. Geophys. Res. Space Phys. 120, 10,305–10,316 (2015). https://doi.org/10.1002/2015JA021781
G. Atkinson, Auroral arcs: result of the interaction of a dynamic magnetosphere with the ionosphere. J. Geophys. Res. 75(25), 4746–4755 (1970)
M.A. Beer, G.W. Hammett, Toroidal gyrofluid equations for simulations of tokamak turbulence. Phys. Plasmas 3, 4046–4064 (1996)
J. Birn, A.V. Artemyev, D.N. Baker, M. Echim, M. Hoshino, L.M. Zelenyi, Particle acceleration in the magnetotail and aurora. Space Sci. Rev. 173, 49 (2012)
E.M. Blixt, A. Brekke, A model of currents and electric fields in a discrete auroral arc. Geophys. Res. Lett. 23(18), 2553–2556 (1996)
L.P. Block, Potential double layers in the ionosphere. Cosm. Electrodyn. 3, 349 (1972)
J.E. Borovsky, Double layers do accelerate particles in the auroral zone. Phys. Rev. Lett. 69, 1054 (1992)
J.E. Borovsky, J. Birn, M.M. Echim, S. Fujita, R.L. Lysak, D.J. Knudsen, O. Marghitu, A. Otto, T.-H. Watanabe, T. Tanaka, Quiescent discrete auroral arcs: a review of magnetospheric generator mechanisms. Space Sci. Rev. 216, 1 (2020). https://doi.org/10.1007/s11214-019-0619-5
R. Boström, Kinetic and space charge control of current flow and voltage drops along magnetic flux tubes: kinetic effects. J. Geophys. Res. 108(A4), 8004 (2003). https://doi.org/10.1029/2002JA009295
R. Boström, Kinetic and space charge control of current flow and voltage drops along magnetic flux tubes: 2. Space charge effects. J. Geophys. Res. 109(A18), A01208 (2004). https://doi.org/10.1029/2003JA010078
A.J. Brizard, T.S. Hahm, Foundations of nonlinear gyrokinetic theory. Rev. Mod. Phys. 79, 421–468 (2007)
D.A. Bryant, R. Bingham, U. de Angelis, Double layers are not particle accelerators. Phys. Rev. Lett. 68, 37 (1992)
J.L. Burch, J.D. Winningham, V.A. Blevins, N. Eaker, W.C. Gibson, R.A. Hoffman, High altitude plasma instrument for Dynamics Explorer-A. Space Sci. Instrum. 5, 455 (1981)
P. Carlqvist, R. Boström, Space-charge regions above the aurora. J. Geophys. Res. 75(34), 7140–7146 (1970)
C.W. Carlson, R.P. Pfaff, J.G. Watzin, The Fast Auroral SnapshoT (FAST) mission. Geophys. Res. Lett. 25, 2013 (1998a)
C. Carlson et al., FAST observations in the downward auroral current region: energetic upgoing electron beams, parallel potential drop, and ion heating. Geophys. Res. Lett. 25, 2017–2021 (1998b)
C.C. Chaston, J.W. Bonnell, L.M. Peticolas, C.W. Carlson, J.P. McFadden, R.E. Ergun, Driven Alfven waves and electron acceleration: a FAST case study. Geophys. Res. Lett. 29(11), 1535 (2002). https://doi.org/10.1029/2001GL013842
C.C. Chaston, J.W. Bonnell, C.W. Carlson, J.P. McFadden, R.E. Ergun, R.J. Strangeway, Properties of small-scale Alfvén waves and accelerated electrons from FAST. J. Geophys. Res. 108, 8003 (2003a). https://doi.org/10.1029/2002JA009420
C.C. Chaston, J.W. Bonnell, C.W. Carlson, J.P. McFadden, R.J. Strangeway, R.E. Ergun, Kinetic effects in the acceleration of auroral electrons in small scale Alfven waves: a FAST case study. Geophys. Res. Lett. 30(6), 1289 (2003b). https://doi.org/10.1029/2002GL015777
C.C. Chaston, K. Seki, T. Sakanoi, K. Asamura, M. Hirahara, C.W. Carlson, Cross–scale coupling in the auroral acceleration region. Geophys. Res. Lett. 38, L20101 (2011). https://doi.org/10.1029/2011GL049185
Y.T. Chiu, J.M. Cornwall, Electrostatic model of a quiet auroral arc. J. Geophys. Res. 85, 543 (1980)
Y.T. Chiu, M. Schulz, Self-consistent particle and parallel electrostatic field distributions in the magnetospheric-ionospheric auroral region. J. Geophys. Res. 83, 629 (1978)
Y.T. Chiu, A.L. Newman, J.M. Cornwall, On the structure and mapping of auroral electrostatic potentials. J. Geophys. Res. 86, 10,029 (1981)
Y. Chiu, J. Cornwall, J. Fennell, D. Gorney, P. Mizera, Auroral plasma in the evening sector: satellite observations and theoretical interpretations. Space Sci. Rev. 35, 211–257 (1983)
A.E. Clark, C.E. Seyler, Electron beam formation by small-scale oblique inertial Alfvén waves. J. Geophys. Res. 104, 17 233–17 249 (1999)
J.H. Clemmons, M.H. Boehm, G.E. Paschmann, G. Haerendel, Signatures of energy-time dispersed electron fluxes observed by Freja. Geophys. Res. Lett. 21, 1899 (1994)
A.P. Cran-McGreehin, A.N. Wright, Electron acceleration in downward auroral field-aligned currents. J. Geophys. Res. Space Phys. 110, A10S15 (2005a)
A.P. Cran-McGreehin, A.N. Wright, Current-voltage relationship in downward field-aligned current region. J. Geophys. Res. Space Phys. 110, A10S10 (2005b)
A.P. Cran-McGreehin, A.N. Wright, A.W. Hood, Ionospheric depletion in auroral downward currents. J. Geophys. Res. Space Phys. 112, A10309 (2007)
D.R. Croley Jr., P.F. Mizera, J.F. Fennell, Signature of a parallel electric field in ion and electron distributions in velocity space. J. Geophys. Res. 83, 2701 (1978)
P.A. Damiano, A.N. Wright, Two-dimensional hybrid MHD-kinetic electron simulations of an Alfvén wave pulse. J. Geophys. Res. 110, A01201 (2005). https://doi.org/10.1029/2004JA010603
P.A. Damiano, R.D. Sydora, J.C. Samson, Hybrid magnetohydrodynamic-kinetic model of standing shear Alfvén waves. J. Plasma Phys. 69, 277–304 (2003)
P.A. Damiano, A.N. Wright, R.D. Sydora, J.C. Samson, Energy dissipation via electron energization in standing shear Alfvén waves. Phys. Plasmas 14, 062904 (2007)
P.A. Damiano, J.R. Johnson, C.C. Chaston, Ion temperature effects on magnetotail Alfvén wave propagation and electron energization. J. Geophys. Res. Space Phys. 120, 5623–5632 (2015). https://doi.org/10.1002/2015JA021074
P.A. Damiano, J.R. Johnson, C.C. Chaston, Ion gyroradius effects on particle trapping in kinetic Alfvén waves along auroral field lines. J. Geophys. Res. Space Phys. 121, 10,831–10,844 (2016). https://doi.org/10.1002/2016JA022566
R.A. Doe, J.F. Vickrey, M. Mendillo, Electrodynamic model for the formation of auroral ionospheric cavities. J. Geophys. Res. Space Phys. 100(A6), 9683–9696 (1995)
W. Dorland, G.W. Hammett, Gyrofluid turbulence models with kinetic effects. Phys. Fluids B 5, 812–835 (1993)
R.H. Eather, Majestic Lights: The Aurora in Science, History, and the Arts (American Geophysical Union, Washington, 1980)
M.M. Echim, M. Roth, J. DeKeyser, Sheared magnetospheric plasma flows and discrete auroral arcs: a quasi-static coupling model. Ann. Geophys. 25, 317 (2007)
R.C. Elphic et al., The auroral current circuit and field-aligned currents observed by FAST. Geophys. Res. Lett. 25, 2033–2036 (1998)
R.E. Ergun, L. Andersson, D.S. Main, Y.J. Su, C.W. Carlson, J.P. McFadden, F.S. Mozer, Parallel electric fields in the upward current region of the aurora: indirect and direct observations. Phys. Plasmas 9(9), 3685–3694 (2002)
R.E. Ergun, L. Andersson, C.W. Carlson, D.L. Newman, M.V. Goldman, Double layers in the downward current region of the aurora. Nonlinear Process. Geophys. 10, 45–52 (2003). https://doi.org/10.5194/npg-10-45-2003
A.I. Eriksson, R. Boström, Are weak double layers important for auroral particle acceleration? in Auroral Plasma Dynamics, ed. by R.L. Lysak. Geophysical Monograph, vol. 80 (American Geophysical Union, Washington, 1993), p. 105
C.-G. Fälthammar, Non-resistive potential drops in cosmical plasmas, in Particle Acceleration in Astrophysics, ed. by J. Arons, C. Max, C. McKee (American Institute of Physics, New York, 1979), p. 27
C.-G. Fälthammar, Magnetic-field-aligned electric fields. ESA J. 7, 385–404 (1983)
B. Forget, J.-C. Cerisier, A. Berthelier, J.-J. Berthelier, Ionospheric closure of small-scale Birkeland currents. J. Geophys. Res. 96, 1843 (1991)
C. Forsyth et al., Temporal evolution and electric potential structure of the auroral acceleration region from multispacecraft measurements. J. Geophys. Res. 117, A12203 (2012). https://doi.org/10.1029/2012JA017655
L.A. Frank, K.L. Ackerson, Observations of charged particle precipitation into the auroral zone. J. Geophys. Res. 76, 3612 (1971)
H.U. Frey et al., Freja and ground-based analysis of inverted-V events. J. Geophys. Res. 103, 4303–4314 (1998)
H.U. Frey et al., Small and meso-scale properties of a substorm onset auroral arc. J. Geophys. Res. 115, A10209 (2010). https://doi.org/10.1029/2010JA015537
M. Fridman, J. Lemaire, Relationship between auroral electron fluxes and field aligned electric potential differences. J. Geophys. Res. 85, 664 (1980)
E.A. Frieman, L. Chen, Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria. Phys. Fluids 25, 502–508 (1982)
Y. Fukuda, M. Hirahara, K. Asamura, T. Sakanoi, Y. Miyoshi, T. Takada, A. Yamazaki, K. Seki, Y. Ebihara, Electron properties in inverted-V structures and their vicinities based on Reimei observations. J. Geophys. Res. Space Phys. 119, 3650–3663 (2014). https://doi.org/10.1002/2013JA018938
A. Ghielmetti, R. Johnson, R. Sharp, E. Shelley, The latitudinal, diurnal, and altitudinal distributions of upward flowing energetic ions of ionospheric origin. Geophys. Res. Lett. 5, 59–62 (1978)
D.M. Gillies, D. Knudsen, R. Rankin, S. Milan, E. Donovan, A statistical survey of the 630.0-nm optical signature of periodic auroral arcs resulting from magnetospheric field line resonances. Geophys. Res. Lett. 45, 4648–4655 (2018). https://doi.org/10.1029/2018GL077491
C.K. Goertz, Double layers and electrostatic shocks in space. Rev. Geophys. Space Phys. 17, 418 (1979)
C.K. Goertz, R.W. Boswell, Magnetosphere-ionosphere coupling. J. Geophys. Res. 84, 7239 (1979)
M.V. Goldman, M.M. Oppenheim, D.L. Newman, Theory of localized bipolar wave-structures and nonthermal particle distributions in the auroral ionosphere. Nonlinear Process. Geophys. 6(3/4), 221–228 (1999)
M.V. Goldman, D.L. Newman, A. Mangeney, Theory of weak bipolar fields and electron holes with applications to space plasmas. Phys. Rev. Lett. 99(14), 145002 (2007)
D.J. Gorney, A. Clarke, D. Croley, J. Fennell, J. Luhmann, P. Mizera, The distribution of ion beams and conics below 8000 km. J. Geophys. Res. 86, 83 (1981)
D.J. Gorney, Y.T. Chiu, D.R. Croley, Trapping of ion conics by downward parallel electric fields. J. Geophys. Res. Space Phys. 90(A5), 4205–4210 (1985)
H. Gunell, J. De Keyser, E. Gamby, I. Mann, Vlasov simulations of parallel potential drops. Ann. Geophys. 31(7), 1227–1240 (2013). https://doi.org/10.5194/angeo-31-1227-2013. 2013
H. Gunell, L. Andersson, J. De Keyser, I. Mann, Vlasov simulations of trapping and loss of auroral electrons. Ann. Geophys. 33, 279–293 (2015). https://doi.org/10.5194/angeo-33-279-2015
D.A. Gurnett, INJUN-5 observations of magnetospheric electric fields and plasma convection, in Earth’s Magnetospheric Processes, ed. by B.M. McCormac (1972a), p. 253
D.A. Gurnett, Electric field and plasma observations in the magnetosphere, in Critical Problems of Magnetospheric Physics, ed. by E.R. Dyer (1972b), pp. 123–138
D.A. Gurnett, L.A. Frank, Observed relationships between electric fields and auroral particle precipitation. J. Geophys. Res. 78, 145 (1973)
G. Haerendel, An Alfvén wave model of auroral arcs, in High-Latitude Space Plasma Physics, ed. by B. Hultqvist, T. Hagfors (Plenum, New York, 1983), p. 515
T.J. Hallinan, H.C. Stenbaek-Nielsen, C.S. Deehr, Enhanced aurora. J. Geophys. Res. Space Phys. 90(A9), 8461–8475 (1985)
G.W. Hammett, F.W. Perkins, Fluid moment models for Landau damping with application to the ion-temperature-gradient instability. Phys. Rev. Lett. 64, 3019–3022 (1990)
A. Hasegawa, Particle acceleration by MHD surface wave and formation of aurora. J. Geophys. Res. 81, 5083 (1976)
S.M. Hatch, J. LaBelle, C.C. Chaston, Inferring source properties of monoenergetic electron precipitation from kappa and Maxwellian moment-voltage relationships. J. Geophys. Res. Space Phys. 124, 1548–1567 (2019). https://doi.org/10.1029/2018JA026158
R.D. Hazeltine, J.D. Meiss, Plasma Confinement (Addison-Wesley, Redwood City, 1992)
N. Hershkowitz, Review of recent laboratory double layer experiments. Space Sci. Rev. 41, 351–391 (1985). https://doi.org/10.1007/BF00190655
B. Hultqvist, On the production of a magnetic-field-aligned electric field by the interaction between the hot magnetospheric plasma and the cold ionosphere. Planet. Space Sci. 19, 749 (1971)
B. Hultqvist, The Viking project. Geophys. Res. Lett. 14, 379 (1987)
B. Hultqvist, Downward ion acceleration at auroral latitudes: cause of parallel electric field. Ann. Geophys. 20(8), 1117–1136 (2002)
K.J. Hwang, R.E. Ergun, L. Andersson, D.L. Newman, C.W. Carlson, Test particle simulations of the effect of moving DLs on ion outflow in the auroral downward-current region. J. Geophys. Res. Space Phys. 113(A1) (2008). https://doi.org/10.1029/2007JA012640
K.J. Hwang, R.E. Ergun, D.L. Newman, J.B. Tao, L. Andersson, Self-consistent evolution of auroral downward-current region ion outflow and moving double layer. Geophys. Res. Lett. 36(21) (2009). https://doi.org/10.1029/2009GL040585
L. Jago, The Northern Lights (Vintage Books, New York, 2001)
J.R. Jasperse, Ion heating, electron acceleration, and the self-consistent parallel E-field in downward auroral current regions. Geophys. Res. Lett. 25(18), 3485–3488 (1998)
J.R. Jasperse, N.J. Grossbard, The Alfven-Falthammar formula for the parallel E-field and its analogue in downward auroral-current regions. IEEE Trans. Plasma Sci. 28(6), 1874–1886 (2000)
J.R. Jasperse, B. Basu, E.J. Lund, N. Grossbard, The self-consistent parallel electric field due to electrostatic ion-cyclotron turbulence in downward auroral-current regions of the Earth’s magnetosphere. IV. Phys. Plasmas 17(6), 062904 (2010)
T. Karlsson, The acceleration region of stable auroral arcs, in Auroral Phenomenology and Magnetospheric Processes: Earth and Other Planets, ed. by A. Keiling, E. Donovan, F. Bagenal, T. Karlsson. AGU Monograph, vol. 197 (American Geophysical Union, Washington, 2012)
T. Karlsson, G. Marklund, Simulations of effects of small-scale auroral current closure in the return current region. Phys. Space Plasmas 15, 401 (1998)
T. Karlsson, G. Marklund, N. Brenning, I. Axnäs, On enhanced aurora and low-altitude parallel electric fields. Phys. Scr. 72(5), 419 (2005)
T. Karlsson, N. Brenning, O. Marghitu, G. Marklund, S. Buchert, High-altitude signatures of ionospheric density depletions caused by field-aligned currents (2007). ArXiv preprint. arXiv:0704.1610
T. Karlsson, L. Andersson, D.M. Gilies, K. Lynch, O. Marghitu, N. Paramies, N. Sivadas, J. Wu, Quiet, discrete aurora arcs: observations. Space Sci. Rev. 216, 16 (2020). https://doi.org/10.1007/s11214-020-0641-7
R. Kataoka, C. Chaston, D. Knudsen, K.A. Lynch, R. Lysak, Y. Song, K. Murase, T. Sakanoi, J. Semeter, T.-H. Watanabe, D. Whiter, Small-scale dynamic aurora. Space Sci. Rev. (2020), submitted
G.V. Khazanov, M.W. Liemohn, E.N. Krivorutsky, T.E. Moore, Generalized kinetic description of a plasma in an arbitrary field-aligned potential energy structure. J. Geophys. Res. 103, 6871–6890 (1998)
S. Knight, Parallel electric fields. Planet. Space Sci. 21, 741 (1973)
G. Knorr, C.K. Goertz, Existence and stability of strong potential double layers. Astrophys. Space Sci. 31, 209 (1974)
D.J. Knudsen, Spatial modulation of electron energy and density by nonlinear stationary inertial Alfvén waves. J. Geophys. Res. 101, 10,761 (1996)
D.J. Knudsen, J.H. Clemmons, J.-E. Wahlund, Correlation between core ion energization, suprathermal electron beams, and broadband ELF plasma waves. J. Geophys. Res. 103, 4171 (1998)
D.J. Knudsen, E.F. Donovan, L.L. Cogger, B. Jackel, W.D. Shaw, Width and structure of mesoscale optical auroral arcs. Geophys. Res. Lett. 28, 705 (2001)
J. Lemaire, M. Scherer, Model of the polar ion-exosphere. Planet. Space Sci. 18, 103–120 (1970)
J. Lemaire, M. Scherer, Kinetic models of the solar wind. J. Geophys. Res. 76, 7479 (1971)
J. Lemaire, M. Scherer, Plasma sheet particle precipitation: a kinetic model. Planet. Space Sci. 21, 281–289 (1973)
M.R. Lessard, D.J. Knudsen, Ionospheric reflection of small-scale Alfvén waves. Geophys. Res. Lett. 28, 3573 (2001)
M.W. Liemohn, G.V. Khazanov, Collisionless plasma modeling in an arbitrary potential energy distribution. Phys. Plasmas 5, 580–589 (1998)
S. Liu, J. Liao, Numerical analysis of double layers in the downward current region of the aurora. J. Plasma Phys. 77(3), 345–356 (2011)
P. Louarn, J.-E. Wahlund, T. Chust, H. deFeraudy, A. Roux, B. Holback, P.O. Dovner, A.I. Eriksson, G. Holmgren, Observation of kinetic Alfvén waves by the Freja spacecraft. Geophys. Res. Lett. 21, 1847 (1994)
G. Lu et al., On the auroral current-voltage relationship. J. Geophys. Res. 96, 3523–3531 (1991)
R. Lundin, I. Sandahl, Some characteristics of the parallel electric field acceleration of electrons over discrete auroral arcs as observed from two rocket flights, in European Sounding-Rocket, Balloon and Related Research, with Emphasis on Experiments at High Latitudes, vol. SP–135 (1978), pp. 125–136. ESA
R. Lundin, G. Haerendel, S. Grahn, The Freja project. Geophys. Res. Lett. 21, 1823 (1994)
K.A. Lynch, R.L. Arnoldy, P.M. Kintner, J.L. Vago, Electron distribution function behavior during localized transverse ion acceleration events in the topside auroral zone. J. Geophys. Res. 99, 2227 (1994)
K.A. Lynch, D. Pietrowski, R.B. Torbert, N. Ivchenko, G. Marklund, F. Primdahl, Multiple-point electron measurements in a nightside auroral arc: Auroral Turbulence II particle observations. Geophys. Res. Lett. 26, 3361 (1999)
L.R. Lyons, Generation of large-scale regions of auroral currents, electric potentials, and precipitation by the divergence of the convection electric field. J. Geophys. Res. 85, 17 (1980)
L. Lyons, D. Evans, R. Lundin, An observed relation between magnetic field aligned electric fields and downward energy fluxes in the vicinity of auroral forms. J. Geophys. Res. 84, 457–461 (1979)
R.L. Lysak, Electrodynamic coupling of the magnetosphere and ionosphere. Space Sci. Rev. 52, 33 (1990)
R.L. Lysak, Feedback instability of the ionospheric resonant cavity. J. Geophys. Res. 96, 1553–1568 (1991)
R.L. Lysak, Generalized model of the ionospheric Alfven resonator, in Auroral Plasma Dynamics, ed. by R.L. Lysak. AGU Monograph, vol. 80 (1993), p. 121
R.L. Lysak, C.W. Carlson, Effect of microscopic turbulence on magnetosphere-ionosphere coupling. Geophys. Res. Lett. 8, 269 (1981)
R.L. Lysak, C.T. Dum, Dynamics of magnetosphere-ionosphere coupling including turbulent transport. J. Geophys. Res. 88, 365 (1983)
R.L. Lysak, M.K. Hudson, Coherent anomalous resistivity in the region of electrostatic shocks. Geophys. Res. Lett. 6, 661 (1979)
R.L. Lysak, W. Lotko, On the kinetic dispersion relation for shear Alfvén waves. J. Geophys. Res. 101, 5085 (1996)
R.L. Lysak, Y. Song, Energetics of the ionospheric feedback interaction. J. Geophys. Res. Space Phys. 107(A8), SIA-6 (2002)
R.L. Lysak, Y. Song, Non-local interactions between electrons and Alfvén waves on auroral field lines. J. Geophys. Res. 110, A10S06 (2005). https://doi.org/10.1029/2004JA010803
R.L. Lysak, Y. Song, Propagation of kinetic Alfvén waves in the ionospheric Alfvén resonator in the presence of density cavities. Geophys. Res. Lett. 35, L20101 (2008). https://doi.org/10.1029/2008GL035728
R.L. Lysak, Y. Song, Development of parallel electric fields at the plasma sheet boundary layer. J. Geophys. Res. 116, A00K14 (2011). https://doi.org/10.1029/2010JA016424
J.E. Maggs, T.N. Davis, Measurements of the thickness of auroral structures. Planet. Space Sci. 16, 205 (1968)
D.S. Main, D.L. Newman, R.E. Ergun, Double layers and ion phase-space holes in the auroral upward-current region. Phys. Rev. Lett. 97, 185001 (2006)
D.S. Main, D.L. Newman, R.E. Ergun, Conditions for establishing quasistable double layers in the Earth’s auroral upward current region. Phys. Plasmas 17, 122901 (2010)
A.J. Mallinckrodt, C.W. Carlson, Relations between transverse electric fields and field-aligned currents. J. Geophys. Res. 83, 1426 (1978)
O. Marghitu, B. Klecker, J.P. McFadden, The anisotropy of precipitating auroral electrons: a FAST case study. Adv. Space Res. 38, 1694–1701 (2006). https://doi.org/10.1016/j.asr.2006.03.028
G. Marklund, L. Blomberg, C.-G. Fälthammar, P.-A. Lindqvist, On intense diverging electric fields associated with black aurora. Geophys. Res. Lett. 21, 1859–1862 (1994)
G.T. Marklund, N. Ivchenko, T. Karlsson et al., Temporal evolution of the electric field accelerating electrons away from the auroral ionosphere. Nature 414, 724–727 (2001a). https://doi.org/10.1038/414724a
G.T. Marklund, S. Sadeghi, J.A. Cumnock, T. Karlsson, P.-A. Lindqvist, H. Nilsson, A. Masson, A. Farakerley, E. Lucek, J. Pickett, Y. Zhang, Evolution in space and time of the quasi-static acceleration potential of inverted-V aurora and its interaction with Alfvénic boundary processes. J. Geophys. Res. 116, A00K13 (2001b). https://doi.org/10.1029/2011JA016237
G. Marklund, T. Johansson, S. Lileo, T. Karlsson, Cluster observations of an auroral potential and associated field-aligned current reconfiguration during thinning of the plasma sheet boundary layer. J. Geophys. Res. 112, A01208 (2007). https://doi.org/10.1029/2006JA011804
G.T. Marklund et al., Cluster multipoint study of the acceleration potential pattern and electrodynamics of an auroral surge and its associated horn arc. J. Geophys. Res. 117, A10223 (2012). https://doi.org/10.1029/2012JA018046
J.P. McFadden, C.W. Carlson, M.H. Boehm, Field-aligned electron precipitation at the edge of an arc. J. Geophys. Res. 91, 1723 (1986)
J.P. McFadden et al., Spatial structure and gradients of ion beams observed by FAST. Geophys. Res. Lett. 25, 2021–2024 (1998)
J.P. McFadden, C.W. Carlson, R.E. Ergun, Microstructure of the auroral acceleration region as observed by FAST. J. Geophys. Res. 104, 14453–14480 (1999)
C. McIlwain, Direct measurement of the particles producing visible aurora. J. Geophys. Res. 65, 2727 (1960)
D.M. Miles, I.R. Mann, I.P. Pakhotin, J.K. Burchill, A.D. Howarth, D.J. Knudsen, R.L. Lysak, D.D. Wallis, L.L. Cogger, A.W. Yau, Alfvénic dynamics and fine structuring of discrete auroral arcs: Swarm and e-POP observations. Geophys. Res. Lett. 45, 545–555 (2018). https://doi.org/10.1002/2017GL076051
R.H. Miller, G.V. Khazanov, Self-consistent electrostatic potential due to trapped plasma in the magnetosphere. Geophys. Res. Lett. 20, 1331 (1993)
A. Miura, T. Sato, Numerical simulation of the global formation of auroral arcs. J. Geophys. Res. 85, 73 (1980)
P. Mizera, J. Fennell, Signatures of electric fields from high and low altitude particles distributions. Geophys. Res. Lett. 4, 311–314 (1977)
P.F. Mizera, D.J. Gorney, J.F. Fennell, Experimental verification of an S-shaped potential structure. J. Geophys. Res. 87, 1535–1539 (1982)
H.M. Mott-Smith, I. Langmuir, The theory of collectors in gaseous discharges. Phys. Rev. 28, 727–763 (1926). https://doi.org/10.1103/PhysRev.28.727
F.S. Mozer, C.W. Carlson, M.K. Hudson, R.B. Torbert, B. Parady, J. Yatteau, M.C. Kelley, Observations of paired electrostatic shocks in the polar magnetosphere. Phys. Rev. Lett. 38, 292 (1977)
F.S. Mozer, C.A. Cattell, M.K. Hudson, R.L. Lysak, M. Temerin, R.B. Torbert, Satellite measurements and theories of auroral particle acceleration. Space Sci. Rev. 27, 155 (1980)
T.K. Nakamura, Parallel electric field of a mirror kinetic Alfvén wave. J. Geophys. Res. 105, 10,729 (2000)
D.L. Newman, M.V. Goldman, R.E. Ergun, A. Mangeney, Formation of double layers and electron holes in a current-driven space plasma. Phys. Rev. Lett. 87(25), 255001 (2001)
D.L. Newman, L. Andersson, M.V. Goldman, R.E. Ergun, N. Sen, Influence of suprathermal background electrons on strong auroral double layers: laminar and turbulent regimes. Phys. Plasmas 15(7), 072903 (2008)
A. Olsson et al., Freja studies of the current-voltage relation in substorm-related events. J. Geophys. Res. 103, 4285–4301 (1998)
I.P. Pakhotin, I.R. Mann, R.L. Lysak, D.J. Knudsen, J.W. Gjerloev, I.J. Rae, C. Forsyth, K.R. Murphy, D.M. Miles, L.G. Ozeke, G. Balasis, Diagnosing the role of Alfvén waves in magnetosphere-ionosphere coupling: Swarm observations of large amplitude nonstationary magnetic perturbations during an interval of northward IMF. J. Geophys. Res., Space Phys. 123 (2018). https://doi.org/10.1002/2017JA024713
M. Palmroth et al., ULF foreshock under radial IMF: THEMIS observations and global kinetic simulation Vlasiator results compared. J. Geophys. Res. Space Phys. 120, 8782–8798 (2015). https://doi.org/10.1002/2015JA021526
K. Papadopoulos, A review of anomalous resistivity for the ionosphere. Rev. Geophys. Space Phys. 15, 113 (1977)
N. Partamies, M. Syrjäsuo, E. Donovan, M. Connors, D. Charrois, D. Knudsen, Z. Kryzanowsky, Observations of the auroral width spectrum at kilometre-scale size. Ann. Geophys. 28, 711 (2010)
G. Paschmann, S. Haaland, R. Treumann (eds.), Auroral Plasma Physics (Kluwer Academic Publishers, Dordrecht, 2003)
A.M. Persoon, D.A. Gurnett, W.K. Peterson, J.H. Waite, J.L. Burch, J.L. Green, Electron density depletions in the nightside auroral zone. J. Geophys. Res. 93, 1871 (1988)
H. Persson, Electric field parallel to the magnetic field in a low-density plasma. Phys. Fluids 9, 1090–1098 (1966). https://doi.org/10.1063/1.1761807
V. Pierrard, G.V. Khazanov, J.F. Lemaire, Current voltage relationship. J. Atmos. Sol.-Terr. Phys. 69, 2048–2057 (2007). https://doi.org/10.1016/j.jastp.2007.08.005
M.A. Raadu, J.J. Rasmussen, Dynamical aspects of electrostatic double layers. Astrophys. Space Sci. 144, 43–71 (1988)
R. Rankin, J.C. Samson, V.T. Tikhonchuk, Parallel electric fields in dispersive shear Alfvén waves in the dipolar magnetosphere. Geophys. Res. Lett. 26, 3601 (1999)
R. Rankin, D. Gillies, A.W. Degeling, On the relationship between shear Alfven waves, auroral electron acceleration, and field line resonances. Space Sci. Rev. (2020), submitted
P. Reiff, H. Collin, J. Craven, J. Burch, J. Winningham, E. Shelley, L. Frank, M. Friedman, Determination of auroral electrostatic potentials using high- and low-altitude particle distributions. J. Geophys. Res. 93, 7441–7465 (1988)
S. Robertson, Kinetic model for an auroral double layer that spans many gravitational scale heights. Phys. Plasmas 21, 122901 (2014). https://doi.org/10.1063/1.4903337
A.J. Russell, A.N. Wright, A.V. Streltsov, Production of small-scale Alfvén waves by ionospheric depletion, nonlinear magnetosphere-ionosphere coupling and phase mixing. J. Geophys. Res. Space Phys. 118(4), 1450–1460 (2013)
A.J. Russell, T. Karlsson, A.N. Wright, Magnetospheric signatures of ionospheric density cavities observed by Cluster. J. Geophys. Res. Space Phys. 120(3), 1876–1887 (2015)
P.H. Rutherford, E.A. Frieman, Drift instabilities in general magnetic field configurations. Phys. Fluids 11, 569–585 (1968)
S. Sadeghi, G.T. Marklund, T. Karlsson, P.-A. Lindqvist, H. Nilsson, O. Marghitu, A. Fazakerley, E.A. Lucek, Spatiotemporal features of the auroral acceleration region as observed by Cluster. J. Geophys. Res. 116, A00K19 (2011). https://doi.org/10.1029/2011JA016505
H. Saito et al., An overview and initial in-orbit status of “INDEX” satellite. IEIC Tech. Rep. 105, 29–34 (2005)
T. Sakanoi et al., Relationship between field-aligned currents and inverted-V parallel potential drops observed at midaltitudes. J. Geophys. Res. 100, 19343–19360 (1995)
T. Sato, A theory of quite auroral arcs. J. Geophys. Res. 83, 1042–1048 (1978)
H. Schamel, S. Bujabarua, Analytical double layers. Phys. Fluids 26, 190 (1983). https://doi.org/10.1063/1.864006
J. Semeter, J. Vogt, G. Haerendel, K. Lynch, R. Arnoldy, Persistent quasiperiodic precipitation of suprathermal ambient electrons in decaying auroral arcs. J. Geophys. Res. 106(A7), 12,863–12,874 (2001)
C.E. Seyler, Nonlinear 3-d evolution of bounded kinetic Alfvén waves due to shear flow and collisionless tearing instability. Geophys. Res. Lett. 15, 756 (1988)
C.E. Seyler, A mathematical model of the structure and evolution of small-scale discrete auroral arcs. J. Geophys. Res. 95, 17,199 (1990)
C.E. Seyler, K. Liu, Particle energization by oblique inertial Alfvén waves in the auroral region. J. Geophys. Res. 112, A09302 (2007). https://doi.org/10.1029/2007JA012412
R. Sharp, R. Johnson, E. Shelley, Observation of an ionospheric acceleration mechanism producing energetic (keV) ions primarily normal to the geomagnetic field direction. J. Geophys. Res. 82, 3324–3328 (1977)
E. Shelley, R. Sharp, R. Johnson, Satellite observations of an ionospheric acceleration mechanism. Geophys. Res. Lett. 3, 654–656 (1976)
N. Singh, Dynamically evolving double layers and density depletions. J. Geophys. Res. Space Phys. 108(A8), 1322 (2003)
N. Singh, K. Arcot, B.E. Wells, Parallel electric fields in mixing hot and cold plasmas in the auroral downward current region: Double layers and ambipolar fields. J. Geophys. Res. Space Phys. 114(A3) (2009). https://doi.org/10.1029/2008JA013591
N. Singh, S. Araveti, E.B. Wells, Mesoscale PIC simulation of double layers and electron holes affecting parallel and transverse accelerations of electrons and ions. J. Geophys. Res. 116, A00K09 (2011). https://doi.org/10.1029/2010JA016323
Y. Song, R.L. Lysak, Alfvénon, driven reconnection and the direct generation of field-aligned current. Geophys. Res. Lett. 21, 1755 (1994)
Y. Song, R.L. Lysak, Paradigm transition in cosmic plasma physics, magnetic reconnection and the generation of field-aligned current, in Magnetospheric Current Systems, ed. by S.-I. Ohtani et al. AGU Monograph, vol. 118 (American Geophysical Union, Washington, 2000), p. 11
Y. Song, R.L. Lysak, The physics in the auroral dynamo regions and auroral particle acceleration. Phys. Chem. Earth 26, 33 (2001a)
Y. Song, R.L. Lysak, Towards a new paradigm: from a quasi-steady description to a dynamical description of the magnetosphere. Space Sci. Rev. 95, 273 (2001b)
Y. Song, R.L. Lysak, The displacement current and the generation of parallel electric fields. Phys. Rev. Lett. 96, 145002 (2006)
Y. Song, R.L. Lysak, Dynamical generation of quasi-stationary alfvenic double layers and charge holes and unified theory of quasi-static and alfvenic auroral arc formation. Abstract SM23B-2555, in Fall Meeting, San Francisco, Dec. 14-18 (2015)
D.P. Stern, One-dimensional models of quasi-neutral parallel electric fields. J. Geophys. Res. Space Phys. 86(A7), 5839–5860 (1981)
A.V. Streltsov, On the Asymmetry Between Upward and Downward Field-Aligned Currents Interacting with the Ionosphere. J. Geophys. Res. Space Phys. 123 (2018). https://doi.org/10.1029/2018JA025826
A.V. Streltsov, T. Karlsson, Small-scale, localized electromagnetic waves observed by Cluster: result of magnetosphere-ionosphere interactions. Geophys. Res. Lett. 35, L22107 (2008)
A. Streltsov, W. Lotko, Dispersive field line resonances on auroral field lines. J. Geophys. Res. 100, 19,457 (1995)
A.V. Streltsov, W. Lotko, Small-scale electric fields in downward auroral current channels. J. Geophys. Res. Space Phys. 108(A7), 1289 (2003)
A.V. Streltsov, W. Lotko, Coupling between density structures, electromagnetic waves and ionospheric feedback in the auroral zone. J. Geophys. Res. Space Phys. 113(A5) (2008). https://doi.org/10.1029/2007JA012594
A.V. Streltsov, G.T. Marklund, Divergent electric fields in downward current channels. J. Geophys. Res. Space Phys. 111(A7) (2006). https://doi.org/10.1029/2005JA011196
A.V. Streltsov, E.V. Mishin, On the existence of ionospheric feedback instability in the Earth’s magnetosphere-ionosphere system. J. Geophys. Res. Space Phys. 123, 8951–8957 (2018). https://doi.org/10.1029/2018JA025942
D. Summers, R.M. Thorne, A new tool for analyzing microinstabilities in space plasmas modeled by a generalized Lorentzian (kappa) distribution. J. Geophys. Res. 97, 16,827 (1992)
D.W. Swift, On the formation of auroral arcs and the acceleration of auroral electrons. J. Geophys. Res. 80, 2096 (1975)
D.W. Swift, An equipotential model for auroral arcs: the theory of two-dimensional laminar electrostatic shocks. J. Geophys. Res. 84, 6427 (1979)
D.W. Swift, Simulation of auroral electron acceleration by inertial Alfven waves. J. Geophys. Res. 112, A12207 (2007). https://doi.org/10.1029/2007JA012423
D. Sydorenko, R. Rankin, The stabilizing effect of collision-induced velocity shear on the ionospheric feedback instability in Earth’s magnetosphere. Geophys. Res. Lett. 44, 6534–6542 (2017). https://doi.org/10.1002/2017GL073415
D. Sydorenko, R. Rankin, K. Kabin, Nonlinear effects in the ionospheric Alfvén resonator. J. Geophys. Res. 113, A10206 (2008). https://doi.org/10.1029/2008JA013579
M. Temerin, C.W. Carlson, Current-voltage relationship in the downward auroral current region. Geophys. Res. Lett. 25(13), 2365–2368 (1998)
M. Temerin, C. Cattell, R. Lysak, M. Hudson, R.B. Torbert, F.S. Mozer, R.D. Sharp, P.M. Kintner, The small scale structure of electrostatic shocks. J. Geophys. Res. 86, 11,278 (1981)
M. Temerin, K. Cerny, W. Lotko, F. Mozer, Observations of double layers and solitary waves in the auroral plasma. Phys. Rev. Lett. 48, 1175–1179 (1982)
B.J. Thompson, R.L. Lysak, Electron acceleration by inertial Alfvén waves. J. Geophys. Res. 101, 5359 (1996)
V.T. Tikhonchuk, R. Rankin, Electron kinetic effects in standing shear Alfvén waves in the dipolar magnetosphere. Phys. Plasmas 7, 2630 (2000)
V.T. Tikhonchuk, R. Rankin, Parallel potential driven by a kinetic Alfvén wave on geomagnetic field lines. J. Geophys. Res. 107(A7), 1104 (2002). https://doi.org/10.1029/2001JA000231
K. Tsuruda, H. Oya, Introduction to the EXOS-D (Akebono) project. Geophys. Res. Lett. 18, 293 (1993)
J.A. Van Allen, Proc. Natl. Acad. Sci. 43, 57 (1957)
J. Vedin, K. Rönnmark, Electrostatic potentials in the downward auroral current region. J. Geopyhs. Res. 110 (2005). https://doi.org/10.1029/2005JA011083
J. Vedin, K. Rönnmark, Particle-fluid simulation of the auroral current circuit. J. Geophys. Res. 111, A12201 (2006). https://doi.org/10.1029/2006JA011826
J. Vedin, K. Rönnmark, C. Bunescu, O. Marghitu, Estimating properties of concentrated parallel electric fields from electron velocity distributions. Geophys. Res. Lett. 34, L16107 (2007). https://doi.org/10.1029/2007GL030162
T.-H. Watanabe, Feedback instability in the magnetosphere-ionosphere coupling system: revisited. Phys. Plasmas 17, 022904 (2010)
T.-H. Watanabe, A unified model of auroral arc growth and electron acceleration in the magnetosphere-ionosphere coupling. Geophys. Res. Lett. 41 (2014). https://doi.org/10.1002/2014GL061166
C.E.J. Watt, R. Rankin, Electron trapping in shear Alfvén waves that power the aurora. Phys. Rev. Lett. 102, 045002 (2009)
C.E.J. Watt, R. Rankin, Do magnetospheric shear Alfvén waves generate sufficient electron energy flux to power the aurora? J. Geophys. Res. 115, A07224 (2010). https://doi.org/10.1029/2009JA015185
C.E.J. Watt, R. Rankin, Alfvén wave acceleration of auroral electrons in warm magnetospheric plasma, in Auroral Phenomenology and Magnetospheric Processes: Earth and Other Planets, ed. by A. Keiling, E. Donovan, F. Bagenal, T. Karlsson. AGU Monograph, vol. 197 (American Geophysical Union, Washington, 2012), p. 251
C.E.J. Watt, R. Rankin, R. Marchand, Kinetic simulations of electron response to shear Alfvén waves in magnetospheric plasmas. Phys. Plasmas 11, 1277–1284 (2004)
D.R. Weimer et al., Auroral zone electric field from DE 1 and 2 at magnetic conjunctions. J. Geophys. Res. 90, 7479–7494 (1985)
D.R. Weimer et al., The current-voltage relationship in auroral current sheets. J. Geophys. Res. 92, 187–194 (1987)
E.C. Whipple, The signature of parallel electric fields in a collisionless plasma. J. Geophys. Res. 82, 1525 (1977)
J.R. Winckler, L. Peterson, R. Arnoldy, R. Hoffman, X-rays from visible aurorae at Minneapolis. Phys. Rev. 110, 1221 (1958)
D.-J. Wu, D.Y. Sang, C.-G. Fälthammar, An analytical solution of finite-amplitude solitary kinetic Alfvén waves. Phys. Plasmas 2, 4476 (1995)
J.R. Wygant, A. Keiling, C.A. Cattell, R.L. Lysak, M. Temerin, F.S. Mozer, C.A. Kletzing, J.D. Scudder, A.V. Streltsov, W. Lotko, C.T. Russell, Evidence for kinetic Alfvén waves and parallel electron energization at 4–6 RE altitudes in the plasma sheet boundary layer. J. Geophys. Res. 107(A8), 1201 (2002). https://doi.org/10.1029/2001JA900113
M. Zettergren, J. Semeter, Ionospheric plasma transport and loss in auroral downward current regions. J. Geophys. Res. Space Phys. 117, A06306 (2012)
M. Zettergren, J. Semeter, B. Burnett, W. Oliver, C. Heinselman, P.L. Blelly, M. Diaz, Dynamic variability in F-region ionospheric composition at auroral arc boundaries. Ann. Geophys. 28(2) (2010). https://doi.org/10.5194/angeo-28-651-2010
M.D. Zettergren, J.L. Semeter, H. Dahlgren, Dynamics of density cavities generated by frictional heating: formation, distortion, and instability. Geophys. Res. Lett. 42(23), 10–120 (2015)
Acknowledgements
The authors wish to thank the International Space Science Institute (ISSI), Bern, for organization of the reviews and for support of the team meeting. RLL and YS have been supported by NSF grant AGS 1558134. MME acknowledges support from the Romanian Ministry of Research (PCCDI Grant VESS), the Romanian Space Agency (STAR project 182-OANA), the Belgian Solar Terrestrial Center of Excellence (STCE), the BRAIN-BE project MOMA BR/175/A2/MOMA. OM acknowledges support by SIFACIT contract 4000118383/16/I–EF with ESA and STAR EXPRESS contract 119/2017 with Romanian Space Agency. THW is supported by JSPS KAKENHI Grant Number JP16H04086 and JP17H01177.
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Auroral Physics
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Lysak, R., Echim, M., Karlsson, T. et al. Quiet, Discrete Auroral Arcs: Acceleration Mechanisms. Space Sci Rev 216, 92 (2020). https://doi.org/10.1007/s11214-020-00715-5
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DOI: https://doi.org/10.1007/s11214-020-00715-5