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arXiv 2203.08595physics.plasm-ph
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电子任意简并量子等离子体中的线性和非线性波

Linear and nonlinear waves in quantum plasmas with arbitrary degeneracy of electrons

Fernando Haas, Shahzad Mahmood

摘要:

这篇综述的目的是回顾最近的结果,在文献中考虑了任意简并度的量子等离子体。这是不同于一个频繁的方法,其中完全简并假设在致密等离子体。一般的推理在审查的作品是采取一个数值系数的形式的玻姆势项在量子流体中,为了适应线性波从量子动力学理论在长波长的限制。此外,还假设了理想费米气体的状态方程,对于任意简并度。量子流体方程允许从约化微扰理论快速导出弱非线性方程。由此导出了量子Korteweg-de Vries方程和量子Zakharov - Kuznetsov方程,以及亮孤子和暗孤子的传输条件。在任意简并度下,得到了非磁化和磁化等离子体中的量子离子声波和磁声波。确定了模型的应用条件和稀密混合体系存在的物理条件。

英文摘要:

The purpose of this review is to revisit recent results in the literature where quantum plasmas with arbitrary degeneracy degree are considered. This is different from a frequent approach, where completely degeneracy is assumed in dense plasmas. The general reasoning in the reviewed works is to take a numerical coefficient in from of the Bohm potential term in quantum fluids, in order to fit the linear waves from quantum kinetic theory in the long wavelength limit. Moreover, the equation of state for the ideal Fermi gas is assumed, for arbitrary degeneracy degree. The quantum fluid equations allow the expedite derivation of weakly nonlinear equations from reductive perturbation theory. In this way, quantum Korteweg - de Vries and quantum Zakharov - Kuznetsov equations are derived, together with the conditions for bright and dark soliton propagation. Quantum ion-acoustic waves in unmagnetized and magnetized plasmas, together with magnetosonic waves, have been obtained for arbitrary degeneracy degree. The conditions for the application of the models, and the physical situations where the mixed dense - dilute systems exist, have been identified.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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