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Shear-driven kinetic Alfven wave in the plasma sheet boundary layer
Earth, Planets and Space volume 60, pages191–205(2008)
Shear-driven kinetic Alfven waves (KAWs) at the plasma sheet boundary layer (PSBL) were investigated for substorm events in the presence of a parallel electric field using the general loss-cone distribution function. Using a kinetic approach, we derived the expressions for dispersion relation and growth length of the KAW in the presence of the parallel electric field using the general loss-cone distribution function for both, weak and strong shear regimes. The frequency of the KAW obtained is in agreement with observed values of 0.1–4 Hz in the PSBL. The results explain the generation of the energetic KAWs at the PSBL by the shear at substorm onset. The parallel electric field associated with the energetic KAWs at substorm onset may heat the field-aligned electrons, leading to parallel electron energisation that ultimately causes an intense aurora. The electric field along magnetic field lines enhances the frequency of KAW but decreases the growth length in the case of weak shear. We also found that the parallel electric field can reflect KAW towards the PSBL. The loss-cone distribution index changes the profiles of frequency and growth length plots of the shear-driven KAW. Hence, the loss-cone distribution function is an important factor in the excitation of KAW in the active region of the magnetosphere, such as the PSBL and the auroral acceleration region.
Ahirwar, G., P. Varma, and M. S. Tiwari, Electromagnetic ion-cyclotron instability in the presence of a parallel electric field with general distribution function—Particle aspect analysis, Ann. Geophys., 24, 1919, 2006.
Angelopoulos, V., J. A. Chapman, F. S. Mozer, J. D. Sudder, C. T. Russell, K. Tsuruda, T. Mukai, T. J. Hughes, and K. Y. Yumoto, Plasma sheet electromagnetic power generation and its dissipation along auroral field lines, J. Geophys. Res., 107, doi: 10.1029/2001 JA900136, SMP 14, 1–20, 2002.
Duan, S. P., Z. Y. Li, and Z. X. Liu, Kinetic Alfven wave driven by the density inhomogeneity in the presence of loss-cone distribution function-particle aspect analysis, Planet. Space Sci., 53, 1167, 2005.
Eastman, T. E., L. A. Frank, W. K. Peterson, and W. Lennartsson, The plasma sheet boundary layer, J. Geophys. Res., 89, 1553, 1984.
Ergun, R. E., Y. J. Su, L. Andersson, C. W. Carlson, J. P. Mc Fadden, F. S. Mozer, D. L. Newmann, M. V. Goldman, and R. J. Strangeway, Direct observations of localized parallel electric fields in a space plasma, Phys. Rev. Lett., 87, 5003, 2001.
Ganguli, G., S. Slinker, V. Gavrishchaka, and W. Scales, Low frequency oscillations in plasma with spatially variable field-aligned flow, Phys. Plasmas, 9, 2321, 2002.
Gavrishchaka, V., M. E. Koepke, and G. Ganguli, Dispersive properties of a magnetised plasma with a field aligned drift and inhomogeneous transverse flow, Phys. Plasmas, 3, 3091, 1996.
Gavrishchaka, V. V., G. Ganguli, W. Scales, S. P. Slinker, C. C. Chatson, J. P. McFadden, R. E. Ergun, and C. W. Carlson, Multiscale coherent structures and broadband waves due to parallel inhomogeneous flows, Phys. Rev. Lett., 85, 4285, 2000.
Gomberoff, L. and S. Cuperman, On the kinetic instability of uniform plasmas with generalized loss-cone distribution function, J. Plasma Phys., 25, 99, 1981.
Hamrin, M., M. Andre, G. Ganguli, V. Gavrishchaka, E. Koepke, M. W. Zintl, N. Ivchenko, T. Karlsson, and J. H. Clemmons, Inhomogeneous transverse electric fields and wave generation in the auroral region: A statistical study, J. Geophys. Res., 106, 10803, 2001.
Hesegawa, A. and L. Chen, Kinetic process of plasma heating due to Alfven wave excitation, Phys. Res. Lett., 35, 370, 1975.
Hull, A. J., J. W. Bonnell, F. S. Mozer, J. D. Scudder, and C. C. Chaston, Large parallel electric fields in the upward current region of the aurora: Evidence for ambipolar effects, J. Geophys. Res., 108(A6), 1265, 2003.
Keiling, A., J. R. Wygant, C. Cattell, M. Temerin, F. S. Mozer, C. A. Kletzing, J. Sudder, C. T. Russell, W. Lotko, and A. V. Streltsov, Large Alfven wave power in the plasma sheet boundary layer during the expansion phase of substorm, Geophys. Res. Lett., 27, 3169, 2000.
Keiling, A., J. R. Wygant, C. A. Cattell, W. Peria, G. Parks, M. Temerin, F. S. Mozer, C. T. Russell, and C. A. Kletzing, Correlation of Alfven wave Poynting flux in the plasma sheet at 4–7 RE with ionospheric electron energy flux, J. Geophys. Res., 107(A7), 1132, 2002.
Keiling, A., G. K. Parks, J. R. Wygant, J. Dombeck, F. S. Mozer, C. T. Russell, A. V. Streltsov, and W. Lotko, Some properties of Alfven waves: Observations in the tail lobes and the plasma sheet boundary layer, J. Geophys. Res., 110, A10S11, 1–16, 2005.
Lysak, R. L. and W. Lotko, On the kinetic dispersion relation for shear Alfven waves, J. Geophys. Res., 101, 5085, 1996.
Mishra, R. and M. S. Tiwari, Effect of parallel electric field on electrostatic ion-cyclotron instability in anisotropic plasma in the presence of ion beam and general distribution function-Particle aspect analysis, Planet. Space Sci., 54, 188–199, 2006.
Nakamura, R., W. Banmjohann, T. Nagai, M. Fujimoto, T. Mukai, B. Klecker, R. Treumann, A. Balogh, H. Reme, J. A. Sanvand, L. Kistler, C. Monikis, C. J. Owen, A. N. Fazakerley, J. P. Dewhurst, and Y. Bogdanova, Flow shear near the boundary of the plasma sheet observed by Cluster and Geotail, J. Geophys. Res., 109, A05204/1-12, doi: 10.1029/2003 JA010174, 2004.
Pines, D. and R. Schrieffer, Collective behaviour in solid-state, Plasmas Phys. Rev., 124, 1387, 1961.
Scime, E. E., R. Murphy, G. I. Ganguli, and E. Edlund, Electrostatic ion-cyclotron waves in a currentless, anisotropic plasma with inhomogeneous flow, Phys. Plasmas, 10, 4609, 2003.
Summers, D. and R. M. Thorne, Plasma microinstability driven by loss-cone distribution, J. Plasma Phys., 53, 293, 1995.
Tiwari, B. V., R. Mishra, P. Varma, and M. S. Tiwari, Generation of kinetic Alfven wave by velocity shear in the plasma sheet boundary layer during substorm, Indian J. Pure Appl. Phys., 44, 917, 2006.
Vogt, J. and G. Haerendel, Reflection and transmission of Alfven waves at the auroral acceleration region, Geophys. Res. Lett., 25, 277, 1998.
Wang, X. Y., Z. X. Liu, Z. Y. Li, and X. B. Zhang, Kinetic Alfven waves driven by velocity shear, Phys. Plasmas, 5, 836, 1998.
Wu, K. and C. E. Seyler, Instability of inertial Alfven waves in transverse sheared flow, J. Geophys. Res., 108(A6), 1236, SMP 9, 1–19, 2003.
Wygant, J. R., A. Keiling, C. A. Cattell, M. Johnson, R. L. Lysak, M. Temerin, F. S. Mozar, C. A. Kletzing, J. D. Scudder, W. Peterson, C. T. Russell, G. Parks, M. Brittnacher, G. Germany, and J. Spann, Polar spacecraft based comparisons of intense electric fields and Poynting flux near and within the plasma sheet tail lobe boundary to UVI images: An energy source for the aurora, J. Geophys. Res., 105, 18675, 2000.
Wygant, J. R., A. Keiling, C. A. Cattell, R. L. Lysak, M. Temerin, F. S. Mozer, C. A. Kletzing, J. D. Scudder, V. Streltsov, W. Lotko, and C. T. Russell, Evidence for kinetic Alfven waves and parallel electron energisation at 4–6 RE altitudes in the plasma sheet boundary layer, J. Geophys. Res., 107(A8), SMP 24–1, 2002.
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Tiwari, B.V., Mishra, R., Varma, P. et al. Shear-driven kinetic Alfven wave in the plasma sheet boundary layer. Earth Planet Sp 60, 191–205 (2008). https://doi.org/10.1186/BF03352782
- Kinetic Alfven wave
- velocity shear
- loss-cone distribution function
- parallel electric field
- plasma sheet boundary layer
- magnetic substorm