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Bayesian inference of x-ray diffraction spectra from warm dense matter with the one-component-plasma model

机译:X射线衍射光谱与一个组分 - 等离子模型的X射线衍射光谱的贝叶斯推断

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We show that the Bayesian inference of recently measured x-ray diffraction spectra from laser-shocked aluminum [L. B. Fletcher et al., Nat. Photon. 9, 274 (2015)] with the one-component-plasma (OCP) model performs remarkably well at estimating the ionic density and temperature. This statistical approach requires many evaluations of the OCP static structure factor, which were done using a recently derived analytic fit. The atomic form factor is approximated by an exponential function in the diffraction window of the first peak. The electronic temperature is then estimated from a comparison of this approximated form factor with the electronic structure of an average atom model. Out-of-equilibrium states, with electrons hotter than ions, are diagnosed for the spectra obtained early after the pump, whereas at a late time delay the plasma is at thermal equilibrium. Apart from the present findings, this OCP-based modeling of warm dense matter has an important role to play in the interpretation of x-ray Thomson scattering measurements currently performed at large laser facilities.
机译:我们表明,最近测量了来自激光震动铝的X射线衍射光谱的贝叶斯推断[L. B. Fletcher等人。,NAT。光子。在估计离子密度和温度时,9,274(2015)]与单组分 - 等离子体(OCP)模型显着良好地进行。这种统计方法需要许多评估OCP静态结构因子,这是使用最近导出的分析拟合进行的。原子形状因子由第一峰的衍射窗口中的指数函数近似。然后根据具有平均原子模型的电子结构的这种近似形状因子的比较来估计电子温度。在泵早期的泵中诊断出与离子更热的均衡状态,而在泵早期获得的光谱,而在晚时延迟,等离子体处于热平衡。除了目前的研究结果之外,这种基于OCP的温暖致密物质建模在目前在大型激光器设​​施的X射线汤姆森散射测量的解释中发挥着重要作用。

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