Abstract
The dispersion relation for the Hasegawa space-charge wave propagating in a cylindrical waveguide dusty plasma containing collision-dominated ion stream is derived by using the fluid equations and the Poisson equation which lead to a Bessel equation. The solution of Bessel equation is null at the boundary and then the roots of the Bessel function would characterize the property of space-charge wave propagation. We have found that the Hasegawa space-charge wave can be excited for a large axial wave number. The growth rate of excitation increases as the order of the roots of the Bessel function increases. The growth rate decreases with an increase of the radius of cylindrical waveguide as well as with an increase of the collision frequency. We found that the disturbance of wave can be damped only for small wave numbers.
Graphical abstract
Similar content being viewed by others
References
N.N. Rao, P.K. Shukla, M.Y. Yu, Planet. Space Sci. 38, 543 (1990)
P.K. Shukla, V.P. Silin, Phys. Scripta 45, 508 (1992)
D.A. Mendis, Plasma Sources Sci. Technol. 11, A219 (2002)
N.X. Wei, J.K. Xue, Phys. Plasmas 13, 052101 (2006)
V. Yaroshenko, H. Thomas, G.E. Morfill, Phys. Plasmas 14, 082104 (2007)
R.L. Merlino, A. Barkan, C. Thompson, N. D’Angelo, Phys. Plasmas 5, 1607 (1998)
I. Pilch, A. Piel, T. Trottenberg, M.E. Koepke, Phys. Plasmas 14, 123704 (2007)
M.-J. Lee, Y.-D. Jung, Phys. Plasmas 23, 052105 (2016)
M.-J. Lee, Y.-D. Jung, Phys. Plasmas 23, 072107 (2016)
M.-J. Lee, Y.-D. Jung, Phys. Plasmas 23, 094501 (2016)
M. Rosenberg, P.K. Shukla, J. Plasma Phys. 77, 709 (2011)
O. Buneman, Phys. Rev. Lett. 1, 8 (1958)
A. Hasegawa, Plasma instabilities and nonlinear effects (Springer, Berlin, 1975)
A. Hirose, H.M. Skarsgard, Phys. Rev. Lett. 33, 252 (1976)
O. Mitarai, Y. Kawai, F. Kako, J. Phys. Soc. Jpn. 49, 1974 (1980)
A. Sitenko, V. Malnev, Plasma physics theory (Chapman & Hall, London, 1995)
H.L. Pécseli, Waves and oscillations in plasmas (CRC Press, Boca Raton, 2013)
H. Kählert, Phys. Plasmas 22, 073703 (2015)
M.-J. Lee, Y.-D. Jung, Plasma Sources Sci. Technol. 24, 032001 (2015)
V.N. Tsytovich, G.E. Morfill, S.V. Vladimirov, H. Thomas, Elementary physics of complex plasmas (Springer, Berlin, 2008)
P.K. Shukla, A.A. Mamun, Introduction to dusty plasma physics (Institute of Physics, Bristol and Philadelphia, 2002)
N.A. Krall, A.W. Trivelpiece, Principles of plasma physics (McGraw-Hill, New York, 1973)
K.-Z. Zhang, J.-K. Xue, Phys. Plasmas 17, 032113 (2010)
M.-J. Lee, Y.-D. Jung, Plasma Phys. Control. Fusion 59, 095007 (2017)
Z. Zakrzewski, M. Moisan, Plasma Sources Sci. Technol.4, 379 (1995)
M. Moisan, R. Grenier, Z. Zakrzewski, G. Sauve, J. Microw. Power Electromagn. Energy 30, 59 (1995)
M. Moisan, Z. Zakrzewski, R. Etemadi, J.C. Rostaing, J. Appl. Phys. 83, 5691 (1998)
M. Jamil, M. Shahid, W. Ali, M. Salimullah, H.A. Shah, G. Murtaza, Phys. Plasmas 18, 063705 (2011)
T.S. Ramazanov, Zh.A. Moldabekov, K.N. Dzhumagulova, M.M. Muratov, Phys. Plasmas 18, 103705 (2011)
M. Jamil, Z. Mir, M. Asif, M. Salimullah, Phys. Plasmas 21, 092111 (2014)
M. Akbari-Moghanjoughi, Phys. Plasmas 22, 022103 (2015)
A.A. Khan, M. Jamil, A. Hussain, Phys. Plasmas 22, 092103 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lee, MJ., Jung, YD. Stability analysis of Hasegawa space-charge waves in a plasma waveguide with collisional ion beam. Eur. Phys. J. D 71, 329 (2017). https://doi.org/10.1140/epjd/e2017-80582-x
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2017-80582-x