Thermoacoustic instability in a two-dimensional dusty plasma: A study in the weakly and strongly coupled regime

Abstract

Thermoacoustic instability in a two-dimensional unmagnetized dusty plasma has been investigated with the implementation of the general hydrodynamic model both in strongly and weakly coupled regimes. It has been found that the thermoacoustic modes are unstable in the long wavelength limit both in strongly and weakly coupled regimes although the modes literally die out in the weakly coupled regime due to viscous damping. The amplification of the thermoacoustic mode is triggered by the positive feedback response of the system via density and temperature fluctuations. The higher the thermal diffusivity, the higher the chances of mode stabilization.