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

Nonlinear Processes in Geophysics

Volumn 14, Issue 5, 2007, Pages 557-568

  Hau, L N ^a   Wang, B J ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATION; INSTABILITY; MAGNETIC ANISOTROPY; MAGNETIC FIELD; MAGNETOHYDRODYNAMICS; NONLINEAR WAVE; PLASMA; THERMODYNAMICS;

EID: 34548397195     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-14-557-2007     Document Type: Article

References (39)

1. Anderson. B. J., Engerbretson, M. J., Rounds, S. P., Zanetti, L. J., and Potmera. T. A.: A statistical study of Pc 3-5 pulsations observed by AMPTE/CCE magnetic field experiment: 1. Occurrence distributions, J. Geophys. Res., 95, 10495, 1990.
2. Baumgärtel, K.: Soliton approach to magnetic holes, J. Geophys. Res., 104, 28295-28 308, 1999.
3. Buti, B., Tsurutani, B. T., Neugebauer, M.. and Goldstein. B. E.: Generation mechanism for magnetic holes in the solar wind, Geophys. Res. Lett., 28, 1355-1358, 2001.
4. Chew, G. F., Goldberger, M. L., and Low, F. E.: The Boltzmann equation and the one-fluid hydromagnetic equations in the absence of particle collisions. Proc. Roy. Soc. London, Ser A. 236, 112-118, 1956.
5. Crooker, N. U. and Siscoe, G. L.: A mechanism for pressure anisotropy and mirror instability in the dayside magnetopause, J. Geophys. Res., 82, 185, 1977.
6. 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.
7. Farrugia, C. J., Vasquez, B., Richardson. I. G., Torbert. R. B., Burlaga, L. F., Biemat, 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.
8. 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.
9. 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.
10. 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, 14567-14574, 1998.
11. Hasegawa, A.: Drift mirror instability in the magnetosphere, Phys. Fluids, 12, 2642-2650, 1969.
12. Hasegawa, A.: Plasma Instabilities and Nonlinear Effects, p. 94, Springer-Verlag, New York, 1975.
13. Hada, T. and Kennel. C. F.: Nonlinear evolution of slow waves in the solar wind, J. Geophys. Res., 90, 531-535. 1985.
14. Hau, L.-N. and Sonnerup, B. U. Ö.: On slow mode waves in anisotropic plasmas, Geophys. Res. Lett., 20, 1763-1766, 1993.
15. 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.
16. Hau, L.-N.: Nonideal MHD effects in the magnetosheath, J. Geophys. Res., 101, 2655-2660, 1996.
17. Hau. L.-N.: A note on the energy laws in gyrotropic plasmas, Phys. Plasmas, 9, 2455-2457, 2002.
18. 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.
19. 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.
20. Hellinger, P. and Matsumoto. H.: New kinetic instability: Oblique Alfvén fire hose, J. Geophys. Res., 105, 10519-10526, 2000.
21. Hellinger, P. and Matsumoto. H.: Nonlinear competition between the whistler and Alfvén fire hoses, J. Geophys. Res., 106, 13215-13218, 2001.
22. Hellinger, P., Trávníek, 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.
23. 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.
24. Kivelson, M. G. and Southwood, D. J.: Mirror instability II: The mechanism of nonlinear saturation, J. Geophys. Res., 101, 17 365-17 371, 1996.
25. 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.
26. 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.
27. 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. Res. Lett., 23, 1279-1282, 1996.
28. Pokhotelov, O. A., Sagdeev. R. Z., Balikhin, M. A., and Treumann, R. A.: Mirror instability at finite ion-Larmor radius wavelengths, J. Geophys. Res., 109, A09213. doi:10.1029/2004JA010568, 2004.
29. 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.
30. Stasiewicz, K., Shukla, P. K., Gustafsson, G., Buchert, S., Lavraud, B., Thidé, B., and Klos, Z.: Slow magnetosonic solitons detected by the Cluster spacecraft. Phys. Rev. Lett., 90, 085002, 2003.
31. Stasiewicz. K.: Theory and observations of slow-mode solitons in space plasmas, Phys. Rev. Lett., 93, 125004, 2004.
32. Tsurutani, B. T and Rodriguez, P.: Upstream waves and particles: An overview of ISEE results, J. Geophys. Res., 86, 4319-4324, 1981.
33. Tsurutani. B. T. Smith, E. J., Anderson, R. R., Ogilvie, K. W., Scudder, J. D., Baker, D. N., and Bame, S. J.: Lion roars and nonoscillatory drift mirror waves in the magnetosheath, J. Geophys. Res., 87, 6060-6072, 1982.
34. Tsurutani, B. T., Southwood, D. J., Smith, E. J., and Balogh, A.: Nonlinear magnetosonic waves and mirror mode structures in the March 1991 Ulysses interplanetary event, Geophys. Res. Lett., 19, 1267-1270, 1992.
35. Tsurutani, B. T., Galvan. C., Arballo, J. K., Winterhalter, D., Sakurai, R., Smith, E. J., Buti, B., Lakhina, G. S., and Balogh, A.: Relationship between discontinuities, magnetic holes, magnetic decreases, and nonlinear Alfvén waves: Ulysses observations over the solar poles, Geophys. Res. Lett., 29, 23-1, 1528, doi:10.1029/2001GL013623, 2002.
36. Tsurutani, B. T., Lakhina, G. S., Pickett, J. S., Guarnieri, F. L., Lin, N., and Goldstein. B. E.: Nonlinear Alfvén waves, discontinuities, proton perpendicular acceleration, and magnetic holes/decreases in interplanetary space and the magnetosphere: intermediate shocks?, Nonlin. Processes Geophys., 12. 321-336, 2005. http://www.nonlin-processes-geophys.net/12/321/2005/.
37. Walthour. D. W.. Gosling, J. T. Sonnerup, B. U. Ö., and Russell, C. T.: Observation of anomalous slow-mode shock and reconnection layer in the dayside magnetopause, J. Geophys. Res., 99, 23705-23722, 1994.
38. Whang, Y. C., Zhou, J., Lepping. R. P., Szabo, A., Fairfield, D., Kokubum. S., Ogilvie, K. W., and Fitzenreiter, R.: Double discontinuity: A compound structure of slow shock and rotational discontinuity, Geophys. Res. Lett., 24, 3153-3156, 1998.
39. Wang, B.-J. and Hau, L.-N.: MHD aspects of fire-hose type instabilities, J. Geophys. Res., 108, 1463, doi:10.1029/2003JA009986, 2003.