尘埃Fermi-Dirac等离子体中的双阱和双电层：与半经典Fermi-Dirac等离子体的比较
Double-wells and double-layers in dusty Fermi-Dirac plasmas: Comparison with the semiclassical Thomas-Fermi counterpart
摘要：
基于量子流体动力学模型，导出了超稠密等离子体中静电势与电子密度之间的新关系。在量子流体力学模型的基础上，利用这种新的能量关系，研究了相对论性电子在完全简并的稠密尘埃电子-离子等离子体中任意振幅非线性离子波的传播，并与半经典的E-Fermi尘埃等离子体的结果进行了比较.使用标准赝势方法指出，费米-狄拉克等离子体，在对比的Escheras-Fermi对应，容纳了各种各样的非线性激发，如正/负电位离子孤立波和周期波，双层和双阱。同时指出，与等离子体质量密度有关的相对论简并度参数对尘埃Fermi-Dirac等离子体中允许的匹配速度范围有重要影响。
英文摘要：
Based on the quantum hydrodynamic model, a new relationship between the electrostatic-potential and the electron-density in the ultra-dense plasma is derived. Propagation of arbitrary amplitude nonlinear ion waves is, then, investigated in a completely degenerate dense dusty electron-ion plasma, using this new energy relation, for the relativistic electrons in the ground of quantum hydrodynamics model and the results are compared to the case of semiclassical Thomas-Fermi dusty plasma. Using the standard pseudo-potential approach it is remarked that the Fermi-Dirac plasma, in contrast to the Thomas-Fermi counterpart, accommodates a wide variety of nonlinear excitations such as positive-/negative-potential ion solitary and periodic waves, double-layers and double-wells. It is also remarked that, the relativistic degeneracy parameter which relates to the mass-density of plasma has significant effects on the allowed matching-speed range in dusty Fermi-Dirac plasmas.
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