Abstract
The propagation of inertial Alfvén wave is investigated in cold, low-\(\beta \), homogeneous and bi-Maxwellian plasma consisting of multi-ions (H+, He+ and O+). Kinetic approach is adopted to derive the dispersion relation, damping rate, group velocity and growth/ damping length of the wave. Figures are exhibited with respect to \({ck_{\bot }} / {\omega _{pe}}\). Effects of density variation with multi-ions are analysed on frequency, damping rate, parallel and perpendicular components of group velocity and growth/ damping length of the inertial Alfvén wave. It is found that varying densities of multi-ions significantly influence the frequency, damping rate and group velocity of inertial Alfvén wave. The wave frequency is observed between 0.5 to \(18~\mbox{s}^{- 1}\) pertaining to observational data. The increasing density of heavy ions reduces the frequency of waves. The presence of He+ and O+ enhances the damping of wave showing more transfer of energy from wave to particles leading to increase in electron acceleration. The order of parallel and perpendicular group velocity is found to be \(10^{9}~\mbox{cm}/\mbox{s}\) and \(10^{5}~\mbox{cm}/\mbox{s}\) respectively. Maximum perpendicular growth length is observed corresponding to the minimum damping rate of wave at \({ck_{\bot }} / {\omega _{pe}} <1\), signifying the dynamics in transverse direction to the magnetic field which are more significant in the present analysis. The parameters relevant to auroral acceleration region are used for graphical analysis. The applications of present study may be towards the electron acceleration in the dynamics of auroral acceleration region consisting of heavy ions in background plasma.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Agarwal, P., Varma, P., Tiwari, M.S.: Study of inertial kinetic Alfvén waves around cusp region. Planet. Space Sci. 59, 306–311 (2011). https://doi.org/10.1016/j.pss.2010.11.006
Agarwal, P., Varma, P., Tiwari, M.S.: Study of gradient effects on inertial Alfvén waves in plasma sheet boundary layer region—kinetic approach. Astrophys. Space Sci. 349, 223 (2014). https://doi.org/10.1007/s10509-013-1615-y
Chaston, C.C., Carlson, C.W., Peria, W.J., Ergun, R.E., Mcfadden, J.P.: Fast observations of inertial Alfvén waves in the dayside aurora. Geophys. Res. Lett. 26(6), 647 (1999). https://doi.org/10.1029/1998GL900246
Chaston, C.C., Bonnell, J.W., Carlson, C.W., Berthomier, M., Peticolas, L.M., Roth, I., McFadden, J.P., Ergun, R.E., Strangeway, R.J.: Electron acceleration in the ionospheric Alfvén resonator. J. Geophys. Res. 107(A11), 1413 (2002). https://doi.org/10.1029/2002JA009272
Chaston, C.C., Bonnell, J.W., Carlson, C.W., McFadden, J.P., Ergun, R.E., Strangeway, R.J.: Properties of small-scale Alfvén waves and accelerated electrons from FAST. J. Geophys. Res. 108(A4), 8003 (2003a). https://doi.org/10.1029/2002JA009420
Chaston, C.C., Bonnell, J.W., Carlson, C.W., McFadden, J.P., Strangeway, R.J., Ergun, R.E.: Kinetic effects in the acceleration of auroral electrons in small scale Alfvén waves: a FAST case study. Geophys. Res. Lett. 30(6), 1289 (2003b). https://doi.org/10.1029/2002GL015777
Chaston, C.C., Peticolas, L.M., Bonnell, J.W., Carlson, C.W., Ergun, R.E., McFadden, J.P., Strangeway, R.J.: The width and brightness of auroral arcs driven by inertial Alfvén waves. J. Geophys. Res. 108(A2), 1091 (2003c). https://doi.org/10.1029/2001JA007537
Chaston, C.C., Bonnell, J.W., Carlson, C.W., McFadden, J.P., Ergun, R.E., Strangeway, R.J., Lund, E.J.: Auroral ion acceleration in dispersive Alfvén waves. J. Geophys. Res. 109, A04205 (2004). https://doi.org/10.1029/2003JA010053
Chaston, C.C., et al.: Energy deposition by Alfvén waves into the dayside auroral oval: cluster and FAST observations. J. Geophys. Res. 110, A02211 (2005). https://doi.org/10.1029/2004JA010483
Chaston, C.C., Genot, V., Bonnell, J.W., Carlson, C.W., McFadden, J.P., Ergun, R.E., Strangeway, R.J., Lund, E.J., Hwang, K.J.: Ionospheric erosion by Alfvén waves. J. Geophys. Res. 111, A03206 (2006). https://doi.org/10.1029/2005JA011367
Cramer, N.F.: The Physics of Alfvén Waves. Wiley, Berlin (2001). ISBN 3-527-40293-4
Davidson, R.C.: In: Rosenbluth, M.N., Sagdeev, R.Z. (eds.) Basic Plasma Physics, Handbook of Plasma Physics, vol. 1, pp. 521–525. North Holland, Amsterdam (1983)
Dubinin, E., Sauer, K., McKenzie, J.F.: Nonlinear inertial and kinetic Alfvén waves. J. Geophys. Res. 110, A10S04 (2005). https://doi.org/10.1029/2004JA010770
Dubouloz, N., Berthelier, J.-J., Malingre, M., Girard, L., Galperin, Y., Covinhes, J., Chugunin, D., Godefroy, M., Gogly, G., Guerin, C., Illiano, J.-M., Kossa, P., Leblanc, F., Legoff, F., Mularchik, T., Paris, J., Stzepourginski, W., Vivat, F., Zinin, L.: Thermal ion measurements on board Interball Auroral Probe by the Hyperboloid experiment. Ann. Geophys. 16(9), 1070 (1998). https://doi.org/10.1007/s00585-998-1070-1
Fukuda, Y.: Generation mechanism of flickering aurora. Ph.D. thesis, Department of Earth and Planetary Science, Graduate School of Science, The University of Tokyo, Japan (2016)
Gekelman, W., Vincena, S., Leneman, D., Maggs, J.: Laboratory experiments on shear Alfvén waves, and their relationship to space plasmas. J. Geophys. Res. 102(A4), 7225 (1997). https://doi.org/10.1029/96JA03683
Genot, V., Louarn, P., Mottez, F.: Alfvén wave interaction with inhomogeneous plasmas: acceleration and energy cascade towards small-scales. Ann. Geophys. 22(6), 2081 (2004). https://doi.org/10.5194/angeo-22-2081-2004
Goertz, C.K., Boswell, R.W.: Magnetosphere–ionosphere coupling. J. Geophys. Res. 84(A12), 7239 (1979). https://doi.org/10.1029/JA084iA12p07239
Hatch, S.M., Chaston, C.C., LaBelle, J.: Alfvén wave-driven ionospheric mass outflow and electron precipitation during storms. J. Geophys. Res. Space Phys. 121, 7828 (2016). https://doi.org/10.1002/2016JA022805
Kataoka, R., Fukuda, Y., Miyoshi, Y., Miyahara, H., Itoya, S., Ebihara, Y., Hampton, D., Dahlgren, H., Whiter, D., Ivchenko, N.: Compound auroral micromorphology: ground-based high-speed imaging. Earth Planets Space 67, 23 (2015). https://doi.org/10.1186/s40623-015-0190-6
Kletzing, C.A., Mozer, E.S., Torbert, R.B.: Electron temperature and density at high latitude. J. Geophys. Res. 103(A7), 14837 (1998). https://doi.org/10.1029/98JA00962
Kumar, S.: Nonlinear evolution of inertial Alfvén wave turbulence. Astrophys. Space Sci. 337, 645 (2012). https://doi.org/10.1007/s10509-011-0895-3
Kumar, S., Dwivedi, N.K., Sharma, R.P., Moon, Y.-J.: Numerical study of density cavitations by inertial Alfvén waves. Astrophys. Space Sci. 358, 5 (2015). https://doi.org/10.1007/s10509-015-2402-8
Lysak, R.L., Lotko, W.: On the kinetic dispersion relation for shear Alfvén waves. J. Geophys. Res. 101(A3), 5085 (1996). https://doi.org/10.1029/95JA03712
Lysak, R.L., Song, Y.: Kinetic theory of the Alfvén wave acceleration of auroral electrons. J. Geophys. Res. 108(A4), 8005 (2003). https://doi.org/10.1029/2002JA009406
McClements, K.G., Fletcher, L.: Inertial Alfvén wave acceleration of solar flare electrons. Astrophys. J. 693, 1494 (2009). https://doi.org/10.1088/0004-637X/693/2/1494
Mende, S.B., Carlson, C.W., Frey, H.U., Immel, T.J., Ge´rard, J.-C.: IMAGE FUV and in situ FAST particle observations of substorm aurorae. J. Geophys. Res. 108(A4), 8010 (2003). https://doi.org/10.1029/2002JA009413
Mura, A., et al.: Juno observations of spot structures and a split tail in Io-induced aurorae on Jupiter. Science (2018). ISSN 0036-8075; online ISSN 1095-9203. https://doi.org/10.1126/science.aat1450
Nakamura, T.K.: Parallel electric field of a mirror kinetic Alfvén wave. J. Geophys. Res. 105(A5), 10729 (2000). https://doi.org/10.1029/1999JA900494
Olsen, R.C., Chappell, C.R.: Conical ion distributions at one Earth radius—observations from the acceleration region. Adv. Space Res. 6(3), 117 (1986). https://doi.org/10.1016/0273-1177(86)90324-8
Parks, G.K., Lee, E., Fu, S.Y., Fillingim, M., Dandouras, I., Cui, Y.B., Hong, J., Rème, H.: Outflow of low-energy OC ion beams observed during periods without substorms. Ann. Geophys. 33, 333 (2015). https://doi.org/10.5194/angeo-33-333-2015
Patel, S., Varma, P., Tiwari, M.S., Shukla, N.: Effect of ion beam on electromagnetic ion cyclotron instability in hot anisotropic plasma-particle aspect analysis. Ann. Geophys. 29, 1469 (2011). https://doi.org/10.5194/angeo-29-1469-2011
Sakanoi, K., Fukunishi, H., Kasahara, Y.: A possible generation mechanism of temporal and spatial structures of flickering aurora. J. Geophys. Res. 110, A03206 (2005). https://doi.org/10.1029/2004JA010549
Shelley, E.G.: The auroral acceleration region: the world of beams, conics, cavitons, and other plasma exotica. Rev. Geophys. 33(S1), 709 (1995). https://doi.org/10.1029/95RG00253
Shi, R., Liu, H., Yoshikawa, A., Zhang, B., Ni, B.: Coupling of electrons and inertial Alfvén waves in the topside ionosphere. J. Geophys. Res. Space Phys. 118, 2903 (2013). https://doi.org/10.1002/jgra.50355
Shukla, N., Varma, P., Tiwari, M.S.: Study of kinetic Alfvén wave in inertial regime. Indian J. Pure Appl. Phys. 47, 350 (2009)
Sigsbee, K., et al.: FAST—geotail correlative studies of magnetosphere–ionosphere coupling in the nightside magnetosphere. Geophys. Res. Lett. 25(12), 2077 (1998). https://doi.org/10.1029/97GL03769
Stasiewicz, K., Bellan, P., Chaston, C., Kletzing, C., Lysak, R., Maggs, J., Pokhotelov, O., Seyler, C., Shukla, P., Stenflo, L., Streltsov, A., Wahlund, J.-E.: Small scale Alfvénic structure in the aurora. Space Sci. Rev. 92, 423 (2000). https://doi.org/10.1023/A:1005207202143
Su, Y.-J., Jones, S.T., Ergun, R.E., Parker, S.E.: Modeling of field-aligned electron bursts by dispersive Alfvén waves in the dayside auroral region. J. Geophys. Res. 109, A11201 (2004). https://doi.org/10.1029/2003JA010344
Tamrakar, R., Varma, P., Tiwari, M.S.: Density variation effect on multi-ions with kinetic Alfvén wave around cusp region—a kinetic approach. Astrophys. Space Sci. 363, 9 (2018a). https://doi.org/10.1007/s10509-017-3224-7
Tamrakar, R., Varma, P., Tiwari, M.S.: Effect of general loss-cone distribution function on kinetic Alfvén wave in multi-ions plasma by kinetic approach. Indian J. Phys. (2018b) (published online: September, 2018). https://doi.org/10.1007/s12648-018-1294-1
Tamrakar, R., Varma, P., Tiwari, M.S.: Effects of He+ and O+ ions on kinetic Alfvén waves: application to PSBL region. Astrophys. Space Sci. 363, 221 (2018c). https://doi.org/10.1007/s10509-018-3443-6
Thompson, B.J., Lysak, R.L.: Electron acceleration by inertial Alfvén waves. J. Geophys. Res. 101(A3), 5359 (1996). https://doi.org/10.1029/95JA03622
Vincena, S., Gekelman, W., Maggs, J.: Shear Alfvén wave perpendicular propagation from the kinetic to the inertial region. Phys. Rev. Lett. 93, 10 (2004). https://doi.org/10.1103/PhysRevLett.93.105003
Watt, C.E.J., Rankin, R.: Electron acceleration due to inertial Alfvén waves in a non-Maxwellian plasma. J. Geophys. Res. 112, A04214 (2007). https://doi.org/10.1029/2006JA011907
Watt, C.E.J., Rankin, R.: Electron acceleration and parallel electric fields due to kinetic Alfvén waves in plasma with similar thermal and Alfvén speeds. Adv. Space Res. 42(5), 964 (2008). ISSN 02731177. https://doi.org/10.1016/j.asr.2007.03.030
Watt, C.E.J., Rankin, R., Rae, I.J., Wright, D.M.: Self-consistent electron acceleration due to inertial Alfvén wave pulses. J. Geophys. Res. 110, A10S07 (2005). https://doi.org/10.1029/2004JA010877
Watt, C.E.J., Rankin, R., Rae, I.J., Wright, D.M.: Inertial Alfvén waves and acceleration of electrons in nonuniform magnetic fields. Geophys. Res. Lett. 33, L02106 (2006). https://doi.org/10.1029/2005GL024779
Wu, D.J., Chao, J.K.: Model of auroral electron acceleration by dissipative nonlinear inertial Alfvén wave. J. Geophys. Res. 109, A06211 (2004). https://doi.org/10.1029/2003JA010126
Wygant, J.R., Keiling, A., Cattell, C.A., Lysak, R.L., Temerin, M., Mozer, F.S., Kletzing, C.A., Scudder, J.D., Streltsov, V., Lotko, W., Russell, C.T.: 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, SMP 24, 1–24, 15 (2002). https://doi.org/10.1029/2001JA900113
Acknowledgements
The financial assistance of DST to Dr. Poornima Varma (Women Scientist) and UGC to Radha Tamrakar (SRF, NFOBC) is thankfully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Tamrakar, R., Varma, P. & Tiwari, M.S. Inertial Alfvén waves in auroral acceleration region with H+, He+ and O+ ions plasma. Astrophys Space Sci 364, 102 (2019). https://doi.org/10.1007/s10509-019-3593-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-019-3593-1