https://doi.org/10.1140/epjd/e2006-00232-x
Streaming instability in quantum dusty plasmas
Institut für Theoretische Physik IV and Centre for Plasma Science and Astrophysics, Fakultät für Physik und Astronomie, Ruhr–Universität Bochum, 44780 Bochum, Germany
Corresponding author: a shahid_gc@yahoo.com
Received:
3
April
2006
Revised:
25
July
2006
Published online:
20
October
2006
By using a quantum hydrodynamic (QHD) model, we derive a generalized dielectric constant for an unmagnetized quantum dusty plasma composed of electrons, ions, and charged dust particulates. Neglecting the electron inertial force in comparison with the electron pressure, and the force associated with the electron correlations at a quantum scale, we discuss two classes of electrostatic instabilities that are produced by streaming ions, and dust grains. The effects of the plasma streaming speeds, the thermal speed of electrons, and the quantum parameter are examined on the growth rates. The relevance of our investigation to dense astrophysical plasmas is discussed.
PACS: 52.35.-g – Waves, oscillations, and instabilities in plasmas and intense beams / 52.30.-q – Plasma dynamics and flow / 52.35.Fp – Electrostatic waves and oscillations (e.g., ion-acoustic waves) / 52.27.Lw – Dusty or complex plasmas; plasma crystals
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
