Strongly-coupled electro-acoustic excitations in cryogenic quantum plasmas

The electro-acoustic waves, particularly ion-acoustic (IA) waves' expansion in the medium of strongly-coupled cryogenic plasmas with quantum effects has been investigated by taking the advantage of the generalized quantum hydrodynamic model which is applicable for the cryogenic situation. The plasma system is assumed to be comprised of strongly correlated positively-charged inertial cold ions and Fermi electrons. The modified Burgers (mBG) and Gardner (GN) equations are derived by employing the reductive perturbation technique. The prime features (i.e., amplitude, phase speed, width, etc.) of the IA shock waves (SHWs) and double layers (DLs) are studied precisely by analyzing the stationary SHW and DL solutions of the mBG and GN equations, respectively. It has come to view that the basic properties of the IA nonlinear waves are significantly modified by the effects of the viscous force, ratio of the effective ion temperature to electron Fermi temperature, Fermi pressure of the electrons, ratio of the plasma particle number densities, etc. The findings of this theoretical study may be useful in underlying the physics of the IA nonlinear behaviors of the localized electrostatic disturbances in the cryogenic quantum plasmas, such as super-intense laser-dense matter experiments, laser-produced plasmas to name a few.