Theoretical Study Of Wave Propagation In Dense Plasmas

The quantum effect can be judged by the De Broglie wavelength of the particles in the plasma system.For very dense plasma,when the De Broglie wavelength is roughly equal to the particle spacing,the quantum effect begins to work.This plasma is called quantum plasma.There are important quantum effects in quantum plasma,such as the Bohm potential effect,Fermi statistical pressure effect,electron spin-1/2 effect and electron exchange-correlation effect,they have a significant impact on its dynamic characteristics.In this work,detailed research and analysis will be conducted on extraordinary electromagnetic waves and surface waves.We consider the effect of weak relativistic degeneracy on the propagation characteristics of extraordinary electromagnetic waves in spin-magnetized quantum plasmas,using the relativistic quantum Magnetohydrodynamic model(QMHD),while considering the quantum Bohm potential effect,the electron spin-1/2 effect and the relativistic degeneracy pressure effect explores the propagation characteristics of extraordinary electromagnetic waves in plasma.Combined with Maxwell's equations,theoretically,we have obtained a completely new dispersion relation describing the extraordinary electromagnetic waves in the relativistic magnetized quantum plasma including the Bohm potential effect and the electron spin-1/2 effect.Our results show that the relativistic degenerate pressure effect significantly changes the propagation characteristics of extraordinary electromagnetic waves.For a given wavenumber K,as the wave frequency increases,the relativistic degenerate pressure effect will decrease the refractive index,and the phase velocity of the wave will gradually increase.The results of this study are of great help in understanding the collective interactions in dense astrophysics.In addition,we also carried out theoretical research on surface wave propagation characteristics in semi-bounded quantum collision plasma.Surface waves are waves that propagate along the interface of different media,often two fluids of different densities.In the research work of this paper,it exists at the interface between plasma and vacuum.Using the fluid dynamics model(QHD)and Maxwell's equations,taking into account the quantum Bohm potential effect,the Fermi statistical pressure effect,the electron exchange-correlation effect and the collision effect,a new general dispersion relation of the surface wave is obtained,and thus a study of different approximations was carried out.Our results show that for a given wavenumber K,the frequency of the surface wave is shifted downward due to the effect of the electron exchange correlation effect.In addition,in the region of high wavenumber,the electron exchange-correlation effect has a significant correction effect on the surface wave dynamics.The study also shows that the surface wave growth rate changes significantly at different collision frequencies,and the surface wave instability can increase with the collision frequency in the short wavelength region.Our results have certain reference value for studying the physical properties of surface waves in boundary plasma,also help to understand the dispersion characteristics of surface waves in dense plasma vacuum interface.