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温稠密物质中的离子势:简并电子流引起的尾流效应。

Ion potential in warm dense matter: wake effects due to streaming degenerate electrons.

作者信息

Moldabekov Zhandos, Ludwig Patrick, Bonitz Michael, Ramazanov Tlekkabul

机构信息

Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraβe 15, 24098 Kiel, Germany.

Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 Al-Farabi str., 050040 Almaty, Kazakhstan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Feb;91(2):023102. doi: 10.1103/PhysRevE.91.023102. Epub 2015 Feb 5.

DOI:10.1103/PhysRevE.91.023102
PMID:25768613
Abstract

The effective dynamically screened potential of a classical ion in a stationary flowing quantum plasma at finite temperature is investigated. This is a key quantity for thermodynamics and transport of dense plasmas in the warm-dense-matter regime. This potential has been studied before within hydrodynamic approaches or based on the zero temperature Lindhard dielectric function. Here we extend the kinetic analysis by including the effects of finite temperature and of collisions based on the Mermin dielectric function. The resulting ion potential exhibits an oscillatory structure with attractive minima (wakes) and, thus, strongly deviates from the static Yukawa potential of equilibrium plasmas. This potential is analyzed in detail for high-density plasmas with values of the Brueckner parameter in the range 0.1≤r(s)≤1 for a broad range of plasma temperature and electron streaming velocity. It is shown that wake effects become weaker with increasing temperature of the electrons. Finally, we obtain the minimal electron streaming velocity for which attraction between ions occurs. This velocity turns out to be less than the electron Fermi velocity. Our results allow for reliable predictions of the strength of wake effects in nonequilibrium quantum plasmas with fast streaming electrons showing that these effects are crucial for transport under warm-dense-matter conditions, in particular for laser-matter interaction, electron-ion temperature equilibration, and stopping power.

摘要

研究了有限温度下静止流动量子等离子体中经典离子的有效动态屏蔽势。这是温稠密物质 regime 中稠密等离子体热力学和输运的关键量。之前已在流体动力学方法或基于零温度林哈德介电函数的基础上对该势进行了研究。在此,我们基于默明介电函数,通过纳入有限温度和碰撞的影响来扩展动力学分析。所得离子势呈现出具有吸引性极小值(尾流)的振荡结构,因此与平衡等离子体的静态 Yukawa 势有很大偏差。对于布鲁克纳参数值在 0.1≤r(s)≤1 范围内的高密度等离子体,在广泛的等离子体温度和电子流速度范围内对该势进行了详细分析。结果表明,随着电子温度升高,尾流效应变弱。最后,我们得到了离子之间出现吸引力的最小电子流速度。该速度结果小于电子费米速度。我们的结果能够可靠地预测具有快速流动电子的非平衡量子等离子体中尾流效应的强度,表明这些效应对于温稠密物质条件下的输运至关重要,特别是对于激光与物质相互作用、电子 - 离子温度平衡以及阻止本领。

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