论文标题
Yukawa Friedel-Tail对热物质应用的潜力
Yukawa Friedel-Tail pair potentials for warm dense matter applications
论文作者
论文摘要
在许多高能密度情况下遇到的温暖密度物质的数值模拟,状态(EOS)和等离子体传输特性的准确方程是必不可少的。分子动力学(MD)是一种模拟方法,它使用外部提供的潜力生成EOS并传输数据,以动态发展颗粒,而无需进一步参考电子。为了最大程度地减少计算成本,可以从中性假子(NPA)方法获得MD中所需的成对电位,这是单离子密度功能理论(DFT)的一种形式,其中通过离子离子相关功能包括多个离子效应。标准$ n $ -ion DFT-MD通过力匹配技术提供了配对电位,但计算成本更大。在这里,我们提出了一个简单的分析模型,该模型具有基于Yukawa形式的物理意义参数,并具有适用于包含自由电子系统的热水潮湿的Friedel尾巴(YFT)。 YFT模型准确地适合NPA对电势或$ n $ -ION DFT-MD的非参数匹配的电位,在各种条件上显示出非常出色的一致性。 YFT形式为物理模型中的小粒子分离提供了NPA或力匹配电位的准确外推。我们的方法可以用于治疗血浆混合物,从而大规模模拟多种物种温暖的密集物质。
Accurate equations of state (EOS) and plasma transport properties are essential for numerical simulations of warm dense matter encountered in many high-energy-density situations. Molecular dynamics (MD) is a simulation method that generates EOS and transport data using an externally provided potential to dynamically evolve the particles without further reference to the electrons. To minimize computational cost, pair potentials needed in MD may be obtained from the neutral-pseudoatom (NPA) approach, a form of single-ion density functional theory (DFT), where many-ion effects are included via ion-ion correlation functionals. Standard $N$-ion DFT-MD provides pair potentials via the force matching technique but at much greater computational cost. Here we propose a simple analytic model for pair potentials with physically meaningful parameters based on a Yukawa form with a thermally damped Friedel tail (YFT) applicable to systems containing free electrons. The YFT model accurately fits NPA pair potentials or the non-parametric force-matched potentials from $N$-ion DFT-MD, showing excellent agreement for a wide range of conditions. The YFT form provides accurate extrapolations of the NPA or force-matched potentials for small and large particle separations within a physical model. Our method can be adopted to treat plasma mixtures, allowing for large-scale simulations of multi-species warm dense matter.