About the Structural Stability of the Model of the Nonelectroneutral Current Sheath

Authors: V.V. Lyahov, V.M. Neshchadim

Abstract:

The structural stability of the model of a nonelectroneutral current sheath is investigated. The stationary model of a current sheath represents the system of four connected nonlinear differential first-order equations and thus they should manifest structural instability property, i.e. sensitivity to the infinitesimal changes of parameters and starting conditions. Domains of existence of the solutions of current sheath type are found. Those solutions of the current sheath type are realized only in some regions of sevendimensional space of parameters of the problem. The phase volume of those regions is small in comparison with the whole phase volume of the definition range of those parameters. It is shown that the offered model of a nonelectroneutral current sheath is applicable for theoretical interpretation of the bifurcational current sheaths observed in the magnetosphere.

Keywords: Distribution function, electromagnetic field, magnetoactive plasma, nonelectroneutral current sheath, structural instability, bifurcational current sheath.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1058305

References:

[1] V.V. Lyahov, and V. M. Neshchadim, "Kinetic theory of current sheath. I. On polarization of equilibrium current sheath," Adv. Sp. Res. doi:10.1016/j.asr.2012.04.021, 2012.
[2] E. G. Harris, "On a Plasma Sheath Separating Regions of Oppositely Directed Magnetic Field," Nuovo Cim., vol. XXIII, 1962, pp. 115-121.
[3] R. Nakamura, W. Baumjohann, A. Runov, M. Volwerk, T. L. Zhang, B. Klecker, Y. Bogdanova, A. Roux, A. Balogh, H. Reme, J. A. Sauvaud, and H. U. Frey, "Fast flow during current sheet thinning," Geophys. Res. Lett., vol.. 29, 2002, pp. 2140-2152.
[4] A. Runov, R. Nakamura, W. Baumjohann, T.L. Zhang, M. Volwerk, H. U. Hichelberger, and A. Balogh, "Cluster observation of a bifurcated current sheet.," Geophys. Res. Lett., vol. 30, 2003, pp. 1036-1042.
[5] A. Runov, R. Nakamura, W. Baumjohann, R. A. Treumann, T. L. Zhang , M. Volwerk, Z. Voros, A. Balogh, K. H. Glassmeier, B. Klecker, H. Reme, and L. Kistler, "Current sheet structure near magnetic X-line observed by Cluster," Geophys. Res. Lett.,. vol. 30, 2003, pp. 1579- 1588.
[6] V. Sergeev, A. Runow, W. Baumjohann, R. Nakamura, T. L. Zhang, M. Volwerk, A. Balogh, H. Reme, J. A. Sauvaud, M. Andre, and B. Klecker, "Current sheet flapping motion and structure observed by Cluster," Geophys. Res. Lett., vol. 30, 2003, pp. 1327-1341.
[7] V. Sergeev, D. G. Mitchell, C. T. Russell, and D.J. Williams, "Structure of the tail plasma/current sheet at ~- 11 RE and its changes in the course of a substorm," J. Geophys. Res., vol. 98, 1993, pp.17345-17358.
[8] M. Hoshino, A. Nishidu, T. Mukai, Y. Saito, T. Yamamoto, and S. Kokubun, "Slructure of plasma sheet in magnetotail: double-peaked electric current sheet," J. Geophys. Res, vol. 101, 1996, pp. 24775- 24784.
[9] M. I. Sitnov, L. M. Zelenyi, H. V. Malova, and A.S. Sharma, "Thin current sheet embedded within a thicker plasma sheet: self-consistent kinetic theory," J. Geophys. Res., vol. 10, 2000, pp. 13029-13038.
[10] M. I. Sitnov, P. N. Guzdar, and M. Swisdak, "A model of the bifurcated current sheet," Geophys. Res. Lett., vol. 30, 2003, pp. 1712-1733.
[11] V. Gennot, F. Mottez, G. Fruit, P. Louarn, J.-A. Sauvaud, and A. Balogh, "Bifurcated current sheet: model and Cluster observations," Pl.. Sp. Sci. vol. 53, 2005, pp. 229-235.