2008-10-16
Parallel Flow Velocity Shear Kelvin Helmholtz Instability with ac Electric Field
By
Progress In Electromagnetics Research B, Vol. 10, 21-34, 2008
Abstract
Electrostatic velocity shear Kelvin-Helmholtz instability has been studied for bi-Maxwellian plasma in the presence of perpendicular a.c. electric field by using the method of characteristic solution. The effects of a.c. electric field temperature variation, velocity shear scale length,electron ion temperature ratio and other parameters on growth rate have been discussed.
Citation
Rama Pandey, Umesh Chandra Srivastava, Sima Kumari, and Abhay Kumar, "Parallel Flow Velocity Shear Kelvin Helmholtz Instability with ac Electric Field," Progress In Electromagnetics Research B, Vol. 10, 21-34, 2008.
doi:10.2528/PIERB08073102
References

1. Axford, W. I. and C. O. Hines, "A unifying theory of high latitude geophysical phenomena and geomagnetic storms," Can. J. Phys., Vol. 39, 1433, 1961.        Google Scholar

2. Ganguli, G., Y. C. Lee, and P. J. Palmadesso, "Electrostatic ion-cyclotron instability caused by a non-uniform electric field perpendicular to external magnetic field," Phys. Fluids, Vol. 28, 761, 1985.
doi:10.1063/1.865096        Google Scholar

3. Ganguli, G., Y. C. Lee, and P. J. Palmadesso, "Electron-ion hybrid mode due to transverse velocity shear," Phys. Fluids, Vol. 3D, 156, 1985.        Google Scholar

4. Ganguli, G., Y. C. Lee, and P. J. Palmadesso, "Kinetic theory of electrostatic waves due to transverse velocity shears," Phys. Fluids, Vol. 31, 823, 1988.
doi:10.1063/1.866818        Google Scholar

5. Nishikawa, K. I., G. Ganguli, Y. C. Lee, and P. J. Palmadesso, "Simulation of ion-cyclotron like modes in a magnetoplasma with transverse imhomogeneous electric field ," Phys. Fluids, Vol. 31, 1568, 1988.
doi:10.1063/1.866696        Google Scholar

6. Nishikawa, K. I., G. Ganguli, C. Lee, and P. J. Palmadesso, "Simulation of electrostatic turbulence due to sheared flows parallel and transverse to the magnetic field ," J. Geophys. Res., Vol. 95, 1029, 1990.
doi:10.1029/JA095iA02p01029        Google Scholar

7. Pritchett, P . L. and F. V. Coroniti, "The collisionless macroscopic Kelvin-Helmholtz instability. 1. Transverse electrostatic mode," J. Geophys. Res., Vol. 89, 168, 1984.
doi:10.1029/JA089iA01p00168        Google Scholar

8. Fujimoto, M. and T. Tetasawa, "Ion inertia effect on the Kelvin-Helmholtz instability," J. Geophys. Res., Vol. 96, 15725, 1991.
doi:10.1029/91JA01312        Google Scholar

9. Pandey, R. S., K. D. Misra, and A. K. Tripathi, "Kelvin-Helmholtz instability in an anisotropic magnetoplasma in the presence of inhomogeneous D.C. electric field parallel flow velocity shear," Indian J. Radio Space Phys., Vol. 30, 113, 2001.        Google Scholar

10. Pandey, R. S., K. D. Misra, and A. K. Tripathi, "Eeneration of ion-cyclotron like wave by parallel flow velocity shear in the presence of inhomogeneous D.C. electric field in an anisotropic magnetoplasma ," Indian J. Radio Space Phys., Vol. 32, 75, 2003.        Google Scholar

11. Farrugia, C. J., P. E. Sandholt, and L. F. Burlarge, "Auroral activity associated with Kelvin-Helmholtz instability at the inner edge of the low latitude boundary layer," J. Geophys. Res., Vol. 99, 19403, 1994.
doi:10.1029/94JA00926        Google Scholar

12. Opp, N. and A. B. Hassam, "Kelvin-Helmholtz instability in system with large effective larmor radius," Phys. Fluid B, Vol. 3, 885, 1991.
doi:10.1063/1.859845        Google Scholar

13. Lemons, D. S., D. Winske, and S. P. Gary, "Electrostatic ionvelocity shear instability," J. Geophys. Res., Vol. 97, 19381, 1992.
doi:10.1029/92JA01735        Google Scholar

14. Thomas, V. A. and D. Winske, "Kinetic simulations of the Kelvin-Helmholtz instability at the magnetopause," J. Geophys. Res., Vol. 98, 11425, 1993.
doi:10.1029/93JA00604        Google Scholar

16. Fujimoto, M. and T. Terasawas, "Anomalous ion mixing with in a MHD scale Kelvin-Helmholtz vortex 2. — Effects of in homogeneity," J. Geophys. Res., Vol. 100, 12025, 1995.
doi:10.1029/94JA02219        Google Scholar

17. Mozer, F. S., C. W. Carlson, M. K. Hudson, R. B. Torbert, B. Parady, J. Yatteau, and M. C. Kelley, "Observ ation of paired electrostatic shocks in the polar magnetosphere," Phys. Rev. Lett. , Vol. 38, 292, 1977.
doi:10.1103/PhysRevLett.38.292        Google Scholar

18. Temerin, M., C. Cattell, R. Lysak, M. Hudson, R. Torbert, F. Mozer, R. Sharp, and P. Kintner, "The small scale stucture of electrostatic shocks," J. Geophys. Res., Vol. 86, 11278, 1981.
doi:10.1029/JA086iA13p11278        Google Scholar

19. Misra, K. D. and R. S. Pandey, "Generation of Whistler emission by injection of hot electrons in the presence of a.c. electric field in the magnetosphere," J. Geophysics. Res., Vol. 100, 19405, 1995.
doi:10.1029/95JA01083        Google Scholar

20. Pandey, R. S., R. P. Pandey, S. M. Karim, A. K. Srivastava, and Hariom, "The electromagnetic ion-cyclotron instability in the presence of a.c. electric field for Lorentzian kappa," Progress In Electromagnetics Research M, Vol. 1, 207, 2008.
doi:10.2528/PIERM08032601        Google Scholar

21. Huba, J. D., "The Kelvin-Helmholtz instability in inhomogeneous plasma," J. Geophys. Res., Vol. 86, 3653, 1981.
doi:10.1029/JA086iA05p03653        Google Scholar

22. Romero, H., G. Ganguli, Y. C. Lee, and P. J. Palmadesso, "Electron-ion hybrid instabilities driven by velocity shear in a magnetized plasma," Phys. Fluids B, Vol. 4, 1708, 1992.
doi:10.1063/1.860028        Google Scholar