论文标题
量子等离子体中的线性和非线性波，电子退化性
Linear and nonlinear waves in quantum plasmas with arbitrary degeneracy of electrons
论文作者
论文摘要
这篇综述的目的是重新审视文献中的最新结果，在文献中，考虑了任意退化程度的量子等离子体。这与经常的方法不同，该方法完全假定在密集的等离子体中。审查作品中的一般推理是从量子流体中的BOHM电位项中获得数值系数，以便将量子动力学理论的线性波拟合到长波长极限中。此外，假定理想的费米气体的状态方程是任意退化程度的。量子流体方程允许从还原性扰动理论加快弱非线性方程。这样，量子Korteweg -de Vries和Quantum Zakharov -Kuznetsov方程也得出了，以及明亮和深色孤子传播的条件。在任意退化程度上，已经获得了未磁化和磁性等离子体中的量子离子声波以及磁波。已经确定了模型应用的条件以及存在混合密度 - 稀释系统的物理情况。
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.
