Analysis of two-stream instability in warm dense region
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摘要: 温稠密物质状态是惯性约束聚变过程及天体演化过程中的重要物质发展阶段。随着密度的增加，量子效应逐渐显现并导致包括温稠密参数下集体激发行为与经典等离子体模型之间出现差异。密度泛函动理学方法是基于含时密度泛函理论建立的统计模型，并依据Wigner分布函数(相空间量子力学)发展的动理学输运方法，可以有效弥补经典等离子体理论对量子效应的忽略。基于密度泛函动理学方法，发现温稠密特征参数内费米狄拉克分布、交换关联效应、量子衍射效应等性质都对双流不稳定性起到抑制作用。密度泛函动理学方法有望为等离子体视角研究温稠密系统输运性质提供第一性的理论平台。Abstract: Warm dense matter is an important stage of material development in the process of inertial confinement fusion and the evolution of the universe. As the density increases, quantum effects gradually manifest, and the collective excitations in warm dense region show behavior different from the classical cases. Density-functional kinetic theory (DFKT) is a statistical model based on the time-dependent-density-functional theory and Wigner distribution function (phase-space quantum theory), which can effectively compensate for the neglect of quantum effects by classical plasma theory. Based on the DFKT, we found that properties such as Fermi-Dirac distribution, exchange-correlation effects, and quantum diffraction effects in the warm-dense characteristic parameters can inhibit the two-stream instabilities. DFKT is expected to provide a first-principle theoretical platform for the study of the transport properties of the warm dense systems from the perspective of plasmas.
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图 1 包含物质和特征参数示例的密度-温度参数平面[34]
Figure 1. Density-temperature plane with examples of matters and characteristic parameters. ICF denotes inertial confinement fusion. MCF denotes magnetic confinement fusion. Metals refer to the electron gas in metals. The parameter interval of WDM partially overlaps with the parameter intervals of planets and stars
图 2 不同条件下的增长率对比，其中密度单位为
$ {\mathrm{c}\mathrm{m}}^{-3} $ , y值的确定依据交换关联势的选取，$ {\mathit{\Theta}} =0.1 $ ，“classical”曲线代表零温下经典等离子体模型的不稳定性增长率Figure 2. Growth rates of different conditions at different countering drift, with the density unit of
$ {\mathrm{c}\mathrm{m}}^{-3} $ . The values of y depends on the selection of xc potentials[21]，$ {\mathit{\Theta}} =0.1 $ . The ‘classical’ curves represent the instability rates of the classical plasma model at 0 T
图 3 不同条件下的增长率对比，其中密度单位为
$ {\mathrm{c}\mathrm{m}}^{-3} $ ，$ {\mathit{\Theta}} =1 $ ， “classical”曲线代表零温下经典等离子体模型的不稳定性增长率Figure 3. Growth rates of different conditions at different countering drift, with the density unit of
$ {\mathrm{c}\mathrm{m}}^{-3} $ ,$ {\mathit{\Theta}} =1 $ . The ‘classical’ curves represent the instability rates of the classical plasma model at 0 T -
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