费米-狄拉克对等离子体中的非线性离子波
Nonlinear ion waves in Fermi-Dirac pair plasmas
摘要：
在量子流体力学模型框架下，利用Sagdeev赝势方法研究了含有相对论电子/正电子和动态冷离子的极端简并电子-正电子-离子等离子体中任意振幅的非线性离子波.从相对论简并度参数、相对正电子浓度和相对论归一化传播速度范围等方面，数值研究了离子孤波和周期非线性激发存在的匹配准则。结果表明，电子相对论简并度和正电子相对浓度对相对论简并Fermi-Dirac等离子体中的非线性波传播有重要影响.我们的结果与以前报道的在含有非相对论和超相对论电子和正电子的稠密等离子体中采用半经典的Fermi近似得到的结果一致。目前的发现可以适用于研究天体物理学上的超致密致密天体，如白矮星。
英文摘要：
Arbitrary amplitude nonlinear ion waves is investigated in an extremely degenerate electron-positron-ion plasma with relativistic electrons/positrons and dynamic cold ions using Sagdeev pseudo-potential method in framework of quantum hydrodynamics model. The matching criteria of existence for ion solitary as well as periodic nonlinear excitations is studied numerically in terms of the relativistic degeneracy parameter, relative positron concentration and the relativistic normalized propagation-speed range of these waves are obtained. It is remarked that the electron relativistic degeneracy and relative positron concentration in such plasmas have significant effects on nonlinear wave propagations in relativistically degenerate Fermi-Dirac plasma. Our results are in good agreement with the previously reported ones obtained using semiclassical Thomas-Fermi approximation in dense plasmas with non-relativistic and ultra-relativistic electrons and positrons. Current findings can be appropriate for the study of astrophysical superdense compact objects such as white dwarfs.
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