Theoretical Study Of Electrostatic Wave Propagation In Quantum Plasmas

In recent years,quantum plasmas have important applications in micro-semiconductor devices,astrophysics systems,high-intensity laser-plasma interaction and turbulence,and more and more researches on quantum plasma have been conducted.When the de Broglie wavelength of the particle is approximately the same as the average distance between the particles,the quantum effects of the particle needs to be considered.The quantum effects have an important influence on the propagation of the wave in the quantum plasma.Quantum effects mainly include quantum diffraction effects(Bohm potential),electron spin effects,relativistic effects,and electron exchange-correlation effects.In this work,we mainly analyze and discuss the influence of quantum diffraction effect(Bohm potential),Fermi statistical pressure effect and exchange-correlation effect on the propagation characteristics of electrostatic waves in quantum plasmas.At the same time,the effects of electron spin effect,relativistic effect and vacuum polarization effect on the propagation of electrostatic waves in quantum plasma have also been studied and discussed.Based on the Quantum Magnetohydrodynamics(QMHD)model,this work considers different quantum effects,especially the influence of electrostatic wave propagation characteristics in magnetized quantum plasma with electron exchange-correlation effect.The paper discusses the linear dispersion relation of electrostatic waves in detail.Numerical research results on the dispersion relationship show that the dispersion characteristics of high-frequency waves(including Langmuir waves and upper hybrid waves)and low-frequency ion-acoustic waves are affected and corrected by the electron exchange-correlation effect and other quantum effects.The numerical results also show that under the influence of the electron exchange-correlation effect,the Langmuir wave and the upper hybrid wave may have instability in its propagation.It also shows that the electron exchange-correlation effect can reduce the phase velocity of wave propagation,especially in the high wave number range,this phenomenon is more obvious.In addition,this work also considers the influence of vacuum polarization effect and relativistic effect on the propagation characteristics of electrostatic waves in spin quantum magnetized plasma.This work considers the relativistic effect and the electron spin effect.It is also based on the QMHD model and uses the Maxwell equations modified by the spin magnetization current and the vacuum polarization current to derive the dispersion relationship of the hybrid wave on the electrostatic.Analysis and numerical results show that quantum effects(relativistic effects and electron exchange correlation effects)and vacuum polarization effects can significantly change the propagation characteristics of the upper hybrid wave.Through the analysis of the dispersion relationship and the oscillation frequency,it can be concluded that the relativistic effect and the electron exchange correlation effect can promote the propagation of the upper hybrid wave in the plasma.The research results also show that based on the relativistic effect and exchange-correlation effect,the upper hybrid oscillation can propagate in cold plasma,but the electron spin effect does not affect the propagation of the upper hybrid wave.The relevant research results of this paper can further expand people's understanding of the propagation characteristics of electrostatic waves in dense quantum plasmas,and can also provide a certain reference value for people to deeply explore some linear and nonlinear wave phenomena in complex plasmas.