arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.02165physics.plasm-phcond-mat.str-elphysics.comp-ph
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有效静态近似:一种快速可靠的热密物质理论工具

Effective Static Approximation: A Fast and Reliable Tool for Warm Dense Matter Theory

Tobias Dornheim, Attila Cangi, Kushal Ramakrishna, Maximilian Böhme, Shigenori Tanaka, Jan Vorberger

摘要:

我们提出了一个\emph{Effective Static Approximation}(ESA)的局部场校正(LFC)的电子气体,使高精度的计算的电子性质,如动态结构因子$S(q,ω)$,静态结构因子$S(q)$,和相互作用能$v$。ESA将最近的神经网络表示[ \textit{J. Chem. Phys.} \textbf{151},194104(2019)]与精确静态极限中的温度相关LFC相结合,并从顶部对分布函数$g(0)$的量子蒙特卡罗数据中获得一致的大波数极限。它适合直接集成到现有代码中。我们通过重新评估Sperling \textit{et al.} ~[ \textit{Phys. Rev. Lett.} \textbf{115},115001(2015)]最近的{铝上的X射线汤姆逊散射实验}的结果来证明LFC对于实际应用的重要性。我们发现,电子相关性{在ESA方面}的准确纳入导致不同的预测的非弹性散射光谱比从国家的最先进的模型,如Mermin方法或线性响应依赖于时间的密度泛函理论。此外,ESA计划是特别相关的先进的交换相关泛函密度泛函理论的发展。

英文摘要:

We present an \emph{Effective Static Approximation} (ESA) to the local field correction (LFC) of the electron gas that enables highly accurate calculations of electronic properties like the dynamic structure factor $S(q,ω)$, the static structure factor $S(q)$, and the interaction energy $v$. The ESA combines the recent neural-net representation [\textit{J. Chem. Phys.} \textbf{151}, 194104 (2019)] of the temperature dependent LFC in the exact static limit with a consistent large wave-number limit obtained from Quantum Monte-Carlo data of the on-top pair distribution function $g(0)$. It is suited for a straightforward integration into existing codes. We demonstrate the importance of the LFC for practical applications by re-evaluating the results of the recent {X-ray Thomson scattering experiment on aluminum} by Sperling \textit{et al.}~[\textit{Phys. Rev. Lett.} \textbf{115}, 115001 (2015)]. We find that an accurate incorporation of electronic correlations {in terms of the ESA} leads to a different prediction of the inelastic scattering spectrum than obtained from state-of-the-art models like the Mermin approach or linear-response time-dependent density functional theory. Furthermore, the ESA scheme is particularly relevant for the development of advanced exchange-correlation functionals in density functional theory.

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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