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arXiv 1706.09073physics.plasm-phastro-ph.SRcond-mat.otherphysics.chem-ph
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第一性原理状态方程与温重烃冲击压缩预测

First-principles Equation of State and Shock Compression Predictions of Warm Dense Hydrocarbons

Shuai Zhang, Kevin P. Driver, François Soubiran, Burkhard Militzer

摘要:

本文采用路径积分蒙特卡罗方法和密度泛函分子动力学方法,在$0.07-22.4$ g/cm $^{3}$和$6.7\times10^3-1.29\times10^8$ K范围内,对一系列不同碳氢比(2:1,1:1,2:3,1:2和1:4)的碳氢化合物材料,建立了一组相干的状态方程.每种材料的冲击Hugoniot曲线显示一个单一的压缩最大值对应于$K$壳电离。对于C:H=1:1,压缩最大值发生在初始密度的4.7倍,我们表明辐射效应显着增加激波压缩比超过2 Gbar,超过相对论效应。Hugoniot曲线的单峰结构与先前对更高- $Z$等离子体的工作形成对比,其表现出对应于$K$ -和$L$ -壳层电离的双峰结构。电子态密度的分析表明,Hugoniot结构的变化是由于碳中$L$ -壳层本征态的合并,而对于更高- $Z$元素,它们保持不同。最后,我们表明,等压等温线性混合规则的碳和氢的EOS是一个合理的近似误差优于1%的恒星核心条件。

英文摘要:

We use path integral Monte Carlo and density functional molecular dynamics to construct a coherent set of equation of state for a series of hydrocarbon materials with various C:H ratios (2:1, 1:1, 2:3, 1:2, and 1:4) over the range of $0.07-22.4$ g/cm$^{3}$ and $6.7\times10^3-1.29\times10^8$ K. The shock Hugoniot curve derived for each material displays a single compression maximum corresponding to $K$-shell ionization. For C:H=1:1, the compression maximum occurs at 4.7-fold of the initial density and we show radiation effects significantly increase the shock compression ratio above 2 Gbar, surpassing relativistic effects. The single-peaked structure of the Hugoniot curves contrasts with previous work on higher-$Z$ plasmas, which exhibit a two-peak structure corresponding to both $K$- and $L$-shell ionization. Analysis of the electronic density of states reveals that the change in Hugoniot structure is due to merging of the $L$-shell eigenstates in carbon, while they remain distinct for higher-$Z$ elements. Finally, we show that the isobaric-isothermal linear mixing rule for carbon and hydrogen EOSs is a reasonable approximation with errors better than 1% for stellar-core conditions.

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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