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arXiv 2401.07765physics.plasm-ph
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氢等离子体的电导率:低密度基准与包含e-e碰撞的维里展开

Electrical Conductivity of Hydrogen Plasmas: Low-density Benchmarks and Virial Expansion Including $e-e$ Collisions

G. Röpke

AI总结:

本文通过改进的维里展开研究氢等离子体电导率的低密度极限,以量子统计精确值作为基准,并利用修正因子处理DFT计算中的电子-电子碰撞,验证一阶维里系数并讨论二阶维里系数取值。

摘要:

本文提出了氢作为最简单离子等离子体时电导率σ(T,n)低密度极限的改进维里展开。量子统计方法给出了最低阶维里系数的精确值,这些值可作为电导率解析方法以及基于密度泛函理论的分子动力学模拟(DFT-MD)或路径积分蒙特卡洛(PIMC)模拟所得数值结果的基准。采用Reinholz等人在Phys. Rev. E 91, 043105 (2015)中引入的修正因子来描述基于DFT的输运系数计算中电子-电子碰撞的纳入。作为基准,该方法正确描述了一阶维里系数。本文讨论了二阶维里系数的取值,并回应了关于其根据DFT-MD模拟所得数值的疑问。

英文摘要:

An improved virial expansion for the low-density limit of the electrical conductivity $σ(T,n)$ of hydrogen as the simplest ionic plasma is presented. Quantum statistical methods provide exact values for the lowest virial coefficients, which serve as a benchmark for analytical approaches to electrical conductivity as well as for numerical results from density functional theory based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo (PIMC) simulations. The correction factor introduced by Reinholz {\it et al.}, Phys. Rev. E {\bf 91}, 043105 (2015) is applied to describe the inclusion of electron-electron collisions in DFT based calculations of transport coefficients. As a benchmark, the first virial coefficient is correctly described with this approach. The value of the second virial coefficient is discussed, questions about its value according to DFT-MD simulations are addressed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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