High-frequency surface waves in quantum plasmas with electrons relativistic degenerate and exchange-correlation effects. (English) Zbl 07848584
Summary: The propagation characteristics of high-frequency surface waves are studied in spin-1/2 quantum plasmas by considering the electron relativistic degenerate and exchange-correlation effects. Using the quantum fluid equations of magnetoplasmas in the presence of the quantum Bohm potential, spin magnetization energy, relativistic degenerate pressure, and exchange-correlation effects, a generalized dispersion relation is derived. The analytical and numerical results show that the relativistic degenerate and exchange-correlation effects significantly modify the propagation properties of high-frequency surface waves. It is found that under the influence of exchange-correlation effects, the frequency spectrum of high-frequency surface waves will be down-shifted. It is also indicated that the dispersion curve shifts up with the increase of relativistic gamma factor. Furthermore, the phase speed of the high-frequency surface waves increases with increasing electron number density. The current research is helpful to understand the propagation of the high-frequency surface waves in quantum plasmas, such as those in dense astrophysical environment.
MSC:
| 82Dxx | Applications of statistical mechanics to specific types of physical systems |
| 76Xxx | Ionized gas flow in electromagnetic fields; plasmic flow |
| 78Axx | General topics in optics and electromagnetic theory |
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