Skip to main content Accessibility help
×
Home

Stability and gravitational effects on surface dust-acoustic waves in self-gravitating semi-bounded dusty plasmas

  • WON-SEOK CHANG (a1), IYOUNG MICHELLE JUNG (a2) and YOUNG-DAE JUNG (a1)

Abstract

The stable conditions and gravitational effects on the surface dust-acoustic wave are investigated in self-gravitating semi-bounded dusty plasmas. The dispersion relation of the surface dust-acoustic wave is obtained by the plasma dielectric function with the specular reflection boundary condition. It is shown that the surface dust-acoustic wave become unstable for any values of the wave number when $\tfrac{1}{2}\leq (\omega_{\rm J}/\omega_{\rm pd})^2\leq 1$. However, when $(\omega_{\rm J}/\omega_{\rm pd})^2 > 1$ or $(\omega_{\rm J}/\omega_{\rm pd})^2 < \tfrac{1}{2}$, the Jeans instability does not occur for the domain of the wave number $k_z \lambda_{\rm D} > (\omega_{\rm J}/\omega_{\rm pd})|[(\omega_{\rm J}/\omega_{\rm pd})^2 - 1]/[2(\omega_{\rm J}/\omega_{\rm pd})^2 - 1]|^{1/2}$. It is also found that the phase velocity of the surface wave decreases with increasing Jeans frequency.

Copyright

MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed