Study on Collective Behavior of Plasma Waves in Degenerate Plasma

Abstract

The present study concentrates on investigation of the collective behavior of surface plasma waves in degenerate plasma. It has been studied the effect of the different quantum effects (Fermi pressue, Bohm potential, and spin effect) on the excitation of the surface waves in quantum plasma under the influence of an external magnetic field. The effect of the previous quantum effects on the propagation of the electrostatic surface waves in electron-hole plasma has also been investigated. The impact of the radical spin of electrons on the excitation of transverse electromagnetic surface waves in a magnetized quantum plasma is inspected. The quantum corrections arises from the Bohm potential and the magnetization energy of electrons due to their spins are taken into considrationby employing a fluid formalism. Also, the excitation of electrostatic surface waves on a semi-bounded quantum plasma-vacuum interface parallel to an applied magnetic field with electron-hole degeneracy is investigated. The wave equations of the electrostatic potential and both of the perturbed electron and hole plasma densities have been solved analytically. The general dispersion relation of the surface modes is obtained. It is found that the inclusion of the quantum effects give rise to the excitation of possible surface modes. The phase and group velocities of the surface plasma waves are increased due to the inclusion of the different quantum effects in both electromagnetic and electrostatic cases.Also, it has been found that the density ratio of hole-electron plasma plays an essential role on the dispersion of the modes along the wavenumber in addition to the effect of the quantum effects and the magnetic field. The previous results can be used to improve the efficiency of data transfer in the computer chips which based on the performance of the semiconductors. Data can be transferred on the surface by the surface waves without suffering diffraction. Also, the velocity of data transfer process can be increased by increasing the hole-electron density ratio. Key words Quantum plasma, quantum effects,Bohm potential, surface plasma wave (SPW), quantum magneto-hydrodynamic model (QMHD), spin quantum plasma, electron-hole plasma.