I want to see a composite conjoint dispersion relation containing both "gas-acoustic" and "ion-acoustic" waves in partially ionized fluids. Both the wave features should be separable in isolation. Can anyone provide any help or suggestion?
It is an unbounded partially ionized (electron+ion+neutral) plasma governed by the traditional fluid equations in a closure form. The coupling of the electron-ion dynamics results in the excitation of the ion-acoustic waves (IAWs) in the static background of the neutral species. Similarly, the gas-acoustic wave (GAW) is excited by the electron-neutral frictional coupling in the static ionic background.
I am in search of a composite linear dispersion relation (law) containing both the IAW dynamics on one hand and the GAW dynamics on the other.
Minor modifications and amendments of the model configuration may be considered.
Could you explain the physical system you're trying to model? I don't quite understand why the gas-acoustic wave would be excited by electron-neutral collisions; it seems like ion-neutral collisions would be much stronger.