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On Mhd Waves, Fire-hose and Mirror Instabilities in Anisotropic Plasmas : Volume 14, Issue 5 (03/09/2007)

By Hau, L.-n.

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Book Id: WPLBN0003981149
Format Type: PDF Article :
File Size: Pages 12
Reproduction Date: 2015

Title: On Mhd Waves, Fire-hose and Mirror Instabilities in Anisotropic Plasmas : Volume 14, Issue 5 (03/09/2007)  
Author: Hau, L.-n.
Volume: Vol. 14, Issue 5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Wang, B., & Hau, L. (2007). On Mhd Waves, Fire-hose and Mirror Instabilities in Anisotropic Plasmas : Volume 14, Issue 5 (03/09/2007). Retrieved from

Description: Institute of Space Science, National Central University, Jhongli, Taiwan, R.O.C.. Temperature or pressure anisotropies are characteristic of space plasmas, standard magnetohydrodynamic (MHD) model for describing large-scale plasma phenomena however usually assumes isotropic pressure. In this paper we examine the characteristics of MHD waves, fire-hose and mirror instabilities in anisotropic homogeneous magnetized plasmas. The model equations are a set of gyrotropic MHD equations closed by the generalized Chew-Goldberger-Low (CGL) laws with two polytropic exponents representing various thermodynamic conditions. Both ions and electrons are allowed to have separate plasma beta, pressure anisotropy and energy equations. The properties of linear MHD waves and instability criteria are examined and numerical examples for the nonlinear evolutions of slow waves, fire-hose and mirror instabilities are shown. One significant result is that slow waves may develop not only mirror instability but also a new type of compressible fire-hose instability. Their corresponding nonlinear structures thus may exhibit anticorrelated density and magnetic field perturbations, a property used for identifying slow and mirror mode structures in the space plasma environment. The conditions for nonlinear saturation of both fire-hose and mirror instabilities are examined.

On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas

Dasgupta, B., Tsurutani, B. T., and Janaki, M. S.: A kinetic approach to the Pondermotive Force, Geophys. Res. Lett., 30, 2128, doi:10.1029/2003GL017385, 2003.; Farrugia, C. J., Vasquez, B., Richardson, I. G., Torbert, R. B., Burlaga, L. F., Biernat, H. K., Mühlbachler, S., Ogilvie, K. W., Lepping, R. P., Scudder, J. D., Berdichevsky, D. E., Semenov, V. S., Kubyshkin, I. V., Phan, T. D., and Lin, R. P.: A reconnection layer associated with a magnetic cloud, Adv. Space Res., 28, 759–764, 2001.; Ferrière, K. M. and André, N.: A mixed magnetohydrodynamic-kinetic theory of low-frequency waves and instabilities in homogeneous, gyrotropic plasmas, J. Geophys. Res., 107, 1349, doi:10.1029/2002JA009273, 2002.; Greenstadt, E. W., Green, I. M., and Inouye, G. T.: Correlated magnetic field and plasma observations of the Earth's bow shock, J. Geophys. Res., 73, 51–60, 1968.; Gary, S. P., Li, H., O'Rourke, S., and Winske, D.: Proton resonant firehose instability: Temperature anisotropy and fluctuating field constraints, J. Geophys. Res., 103, 14 567–14 574, 1998.; Hasegawa, A.: Drift mirror instability in the magnetosphere, Phys. Fluids, 12, 2642–2650, 1969.; Hasegawa, A.: Plasma Instabilities and Nonlinear Effects, p. 94, Springer-Verlag, New York, 1975.; Hada, T. and Kennel, C. F.: Nonlinear evolution of slow waves in the solar wind, J. Geophys. Res., 90, 531–535, 1985.; Hau, L.-N. and Sonnerup, B. U. Ö.: On slow mode waves in anisotropic plasmas, Geophys. Res. Lett., 20, 1763–1766, 1993.; Hau, L.-N., Phan, T.-D., Sonnerup, B. U. Ö., and Paschmann, G.: Double-polytropic closure in the magnetosheath, Geophys. Res. Lett., 20, 2255–2258, 1993.; Hau, L.-N.: Nonideal MHD effects in the magnetosheath, J. Geophys. Res., 101, 2655–2660, 1996.; Hau, L.-N.: A note on the energy laws in gyrotropic plasmas, Phys. Plasmas, 9, 2455–2457, 2002.; Hau, L.-N. and Hung, C.-C.: Formation of anomalous slow shocks in anisotropic plasmas, Geophys. Res. Lett., 32, L14103, doi:10.1029/2005GL023167, 2005.; Hau, L.-N., Wang, B.-J., and Teh, W. L.: Slow mode waves and mirror instability in gyrotropic Hall magnetohydrodynamic model, Phys. Plasmas, 12, 122904, 2005.; Hellinger, P. and Matsumoto, H.: New kinetic instability: Oblique Alfvén fire hose, J. Geophys. Res., 105, 10 519–10 526, 2000.; Hellinger, P. and Matsumoto, H.: Nonlinear competition between the whistler and Alfvén fire hoses, J. Geophys. Res., 106, 13 215–13 218, 2001.; Hellinger, P., Trávní�ek, P., Kasper, J. C., and Lazarus, A. J.: Solar wind proton temperature anisotropy: linear theory and WIND/SWE observations, Geophys. Res., Lett., 33, L09101, doi:10.1029/2006GL025925, 2006.; Hill, P., Paschmann, G., Treumann, R. A., Baumjohann, W., Sckopke, N., and Luhr, H.: Plasma and magnetic field behavior across the magnetosheath near local noon, J. Geophys. Res., 100, 9575–9584, 1995.; Kivelson, M. G. and Southwood, D. J.: Mirror instability II: The mechanism of nonlinear saturation, J. Geophys. Res., 101, 17 365–17 371, 1996.; Kasper, J. C. and Lazarus, A. J.: Wind/SWE observations of firehose constraint on solar wind proton temperature anisotropy, Geophys. Res. Lett., 29, 1839, doi:10.1029/2002GL015128, 2002.; Quest, K. B. and Shapiro, V. D.: Evolution of the fire-hose instability: Linear theory and wave-wave coupling, J. Geophys. Res., 101, 24457-24469, 1996.; McKean, M. E., Winske, D., and Gary, S. P.: Two-dimensional simulations of ion anisotropy instabilities in the magnetosheath, J. Geophys. Res., 99, 11 141–11 153, 1994.; Phan, T. D., Larson, D. E., Lin, R. P., McFadden, J. P., Anderson, K. A., Carlson, C. W., Ergun, R. E., Ashford, S. M., McCarthy, M. P., Parks, G. K., Reme, H., Bosqued, J. M., D'Uston, C. D., Wenzel, K.-P., Sanderson, T. R., and Szabo, A.: The subsolar magnetosheath and magnetopause for high solar wind ram pressure: WIND observations, Geophys.


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