volume | PIER Journals

Abstract

Effect of cold electron beam for Whistler mode waves have been studied for relativistic and non- relativistic subtracted bi-Maxwellian distribution and in the presence of perpendicular AC electric field to magnetic field by using the method of characteristic solutions and kinetic approach. The detailed derivation and calculations has been done for dispersion relation and growth rate for magnetosphere of Uranus. Parametric analysis has been done by changing plasma parameters: thermal velocity, ac frequency, temperature anisotropy etc. The effect of AC frequency on the Doppler shifting frequency and comparative study of relativistic and non- relativistic effect on growth rate are analyzed. The new results using subtracted bi-Maxwellian distribution function are found and discussed in relation to bi-Maxwellian distribution function. It is seen that the effective parameters for the generation of Whistler mode wave are not only the temperature anisotropy but also the relativistic factor, AC field frequency, amplitude of subtracted distribution and width of the loss-cone distribution function which has been discussed in result and discussion section.

1. Gurnett, D. A., W. S. Kurth, F. L. Scarf, and R. L. Poynter, "First plasma wave observations at Uranus," Science, Vol. 233, 106-109, 1986.
doi:10.1126/science.233.4759.106 Google Scholar

2. Kurth, W. S., "Voyager plasma wave observations near the outer planets," Adv. Space Res., Vol. 11, 59-68, 1991.
doi:10.1016/0273-1177(91)90012-9 Google Scholar

3. Tripathi, A. K. and R. P. Singhal, "Whistler mode instability in magnetosphere of Uranus and Neptune," Planet Space Sci., Vol. 56, 310-319, 2007.
doi:10.1016/j.pss.2007.09.003 Google Scholar

4. Sazhin, S. S. and N. M. Temme, "Marginal stability of parallel whistler mode wave (Asymptotic Analysis)," Ann. Geophysicae, Vol. 9, 304, 1991. Google Scholar

5. Pandey, R. P., S. M. D. Karim, and K. M. Singh, "Effect of cold plasma injection on whistler mode instability triggered by perpendicular AC electric field at Uranus," Earth, Moon and Planets, Vol. 91, 195-207, 2002.
doi:10.1023/A:1026240104646 Google Scholar

6. Singh, D., S. Singh, and R. P. Singh, "Thermal effects on parallel resonance energy of whistler mode wave," Pramana --- J. Phys., Vol. 66, 467-472, 2006.
doi:10.1007/BF02704399 Google Scholar

7. Bret, A., M.-C. Firpo, and C. Deutsch, "Electromagnetic instabilities for relativistic beam-plasma interaction in whole k space: Nonrelativistic beam and temperature effects," Physical Review E, Vol. 72, 016403-016403.14, 2005.
doi:10.1103/PhysRevE.72.016403 Google Scholar

8. Bret, A., M.-C. Firpo, and C. Deutsch, "Collective electromagnetic modes for beam-plasma interaction in the whole k space," Physical Review E, Vol. 70, 046401, 2004.
doi:10.1103/PhysRevE.70.046401 Google Scholar

9. Pandey, R. S., R. P. Pandey, K. M. Singh, and N. M. Mishra, "Cold plasma injection on VLF wave mode for relativistic magnetoplasma with AC electric field," Progress In Electromagnetic Research C, Vol. 2, 217-232, 2008.
doi:10.2528/PIERC08022501 Google Scholar

10. Zhang, Y. L., H. Matsumoto, and Y. Omura, "Linear and nonlinear interactions of an electron beam with oblique whistler and electrostatic waves in the magnetosphere," J. Geophys. Res., Vol. 98, 21353, 1993.
doi:10.1029/93JA01937 Google Scholar

11. Devine, P. E., S. C. Chapman, and J. W. Eastwood, "One-and two-dimensional simulations of whistler mode waves in an anisotropic plasma," J. Geophys. Res., Vol. 100, 17189-17203, 1995.
doi:10.1029/95JA00842 Google Scholar

12. Ahirwar, G., P. Varma, and M. S. Tiwari, "Electromagnetic ion-cyclotron instability in the presence of a parallel electric field with general loss-cone distribution function --- Particle aspect analysis," Ann. Geophysicae, Vol. 24, 1919-1930, 2006.
doi:10.5194/angeo-24-1919-2006 Google Scholar

13. Mozer, F. S., R. B. Torbert, U. V. Fahleson, C. Falthammar, A. Gonafalone, A. Pedersen, and C. T. Russel, "Electric field measurements in the solar wind bow shock, magnetosheath, magnetopause and magnetosphere," Space Sci. Rev., Vol. 22, 791, 1978.
doi:10.1007/BF00212624 Google Scholar

14. Wygant, J. R., M. Bensadoun, and F. S. Mozer, "Electric field measurements at sub critical, oblique bow shock crossings," J. Geophys. Res., Vol. 92, 11109, 1987.
doi:10.1029/JA092iA10p11109 Google Scholar

15. Lindquist, P. A. and F. S. Mozer, "The average tangential electric field at the noon magnetopause," J. Geophys. Res., Vol. 95, 17137, 1990.
doi:10.1029/JA095iA10p17137 Google Scholar

16. Misra, K. D. and R. S. Pandey, "Generation of whistler emissions by injection of hot electrons in the presence of perpendicular AC electric field," J. Geophys. Res., Vol. 100, 19405, 1995.
doi:10.1029/95JA01083 Google Scholar

17. Misra, , K. D. and B. D. Singh, "On the modification of whistler electric field by cold plasma injection," J. Geophys. Res., Vol. 85, 5138, 1980.
doi:10.1029/JA085iA10p05138 Google Scholar

18. Pandey, R. S. and D. K. Singh, "Whistler mode instability with AC electric field for relativistic subtracted bi-maxwellian magnetoplasma," Archives of Applied Sci. Res., Vol. 3, No. 5, 350-361, 2011. Google Scholar

19. andey, R. S. and D. K. Singh, "Study of electromagnetic ion cyclotron instability in magneto-plasma," Progress In Electromagnetic Research M, Vol. 14, 147-161, 2010. Google Scholar

Dr. Rama Pandey

Dr. Rajbir Kaur