Beryllium has been considered a superior ablator material for inertial confinement fusion (ICF) target designs. An accurate equation-of-state (EOS) of beryllium under extreme conditions is essential for reliable ICF designs. Based on density-functional theory (DFT) calculations, we have established a wide-range beryllium EOS table of density ρ = 0.001 to 500 g/cm3 and temperature T = 2000 to 108 K. Our first-principle equation-of-state (FPEOS) table is in better agreement with the widely used SESAME EOS table (SESAME 2023) than the average-atom INFERNO and Purgatorio models. For the principal Hugoniot, our FPEOS prediction shows ∼10% stiffer than the last two models in the maximum compression. Although the existing experimental data (only up to 17 Mbar) cannot distinguish these EOS models, we anticipate that high-pressure experiments at the maximum compression region should differentiate our FPEOS from INFERNO and Purgatorio models. Comparisons between FPEOS and SESAME EOS for off-Hugoniot conditions show that the differences in the pressure and internal energy are within ∼20%. By implementing the FPEOS table into the 1-D radiation–hydrodynamic code LILAC, we studied the EOS effects on beryllium-shell–target implosions. The FPEOS simulation predicts higher neutron yield (∼15%) compared to the simulation using the SESAME 2023 EOS table.
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机译:铍被认为是用于惯性约束聚变(ICF)目标设计的优良烧蚀材料。铍在极端条件下的精确状态方程(EOS)对于可靠的ICF设计至关重要。根据密度泛函理论(DFT)计算,我们建立了一个宽范围的铍EOS表,密度为ρ= 0.001至500 g / cm 3 sup>和温度T = 2000至10 8 sup> K.与平均原子INFERNO和Purgatorio模型相比,我们的第一原理状态方程(FPEOS)表与广泛使用的SESAME EOS表(SESAME 2023)更好地吻合。对于主要的Hugoniot,我们的FPEOS预测显示,在最大压缩率下,其刚度比后两个模型高10%。尽管现有的实验数据(仅高达17 Mbar)无法区分这些EOS模型,但我们预计在最大压缩区域的高压实验应将我们的FPEOS与INFERNO和Purgatorio模型区分开。 FPEOS和SESAME EOS在非Hugoniot条件下的比较表明,压力和内能的差异在约20%之内。通过将FPEOS表实现为一维辐射流体动力学代码LILAC,我们研究了EOS对铍-壳-目标内爆的影响。与使用SESAME 2023 EOS表进行的模拟相比,FPEOS模拟的预测中子产率更高(约15%)。
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