Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-19T06:28:09.207Z Has data issue: false hasContentIssue false

Excitation of electrostatic ion-cyclotron-like modes by the electron density ripple in dusty magnetoplasmas

Published online by Cambridge University Press:  01 August 2009

P. K. SHUKLA*
Affiliation:
Institut für Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany (ps@tp4.rub.de)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is shown that electrostatic ion-cyclotron (EIC)-like modes can be excited by the pre-existing electron density ripple across the external magnetic field in a dusty magnetoplasma. For this purpose, we use the ion continuity and momentum equations, together with the Boltzmann-distributed electrons, and derive the standard Mathieu equation. The latter admits unstable solutions, demonstrating that the EIC-like modes in dusty magnetoplasmas can be driven due to the free energy in the electron density ripple.

Type
Letter to the Editor
Copyright
Copyright © Cambridge University Press 2009

References

[1]Chen, F. F. 1984 Introduction to Plasma Physics and Controlled Fusion, Vol. 1. Plasma Physics. New York: Plenum, pp. 109112.CrossRefGoogle Scholar
[2]Shukla, P. K. and Silin, V. P. 1992 Phys. Scr. 45, 508.CrossRefGoogle Scholar
[3]Barkan, A., D'Angelo, N. and Merlino, R. L. 1995 Planet. Space Sci. 43, 905.CrossRefGoogle Scholar
[4]Merlino, R. L., Barkan, A., Thompson, C. and D'Angelo, N. 1997 Plasma Phys. Control. Fusion 39, A421.CrossRefGoogle Scholar
[5]Cho, V. and Rosenberg, M. 1995 Planet. Space Sci. 43, 613.CrossRefGoogle Scholar
[6]Shukla, P. K. and Mamun, A. A. 2002 Introduction to Dusty Plasma Physics. Bristol: Institute of Physics.CrossRefGoogle Scholar
[7]Shukla, P. K. and Eliasson, B. 2009 Rev. Mod. Phys. 81, 25.CrossRefGoogle Scholar
[8]Lin, A. T., Kaw, P. K. and Dawson, J. M. 1978 Phys. Rev. A 8, 2618.CrossRefGoogle Scholar
[9]McLachlan, N. W. 1964 Theory and Application of Mathieu Functions. New York: Dover, Chapter IV.Google Scholar