论文标题
具有经验和机器学习的碳相图
Carbon phase diagram with empirical and machine learned interatomic potentials
论文作者
论文摘要
在目前的工作中,我们详细介绍了如何通过利用嵌套采样算法来探索碳间潜能的多体势能景观,从而可以计算其压力温度相图最多可达高压。我们介绍了三种原子间潜在模型,即Tersoff,Edip和GAP-20,重点是它们的宏观特性,尤其是其熔融过渡和鉴定至少100 GPA的热力学稳定固体结构。研究的模型在较低压力下冻结后所有形成石墨结构,然后随着压力增加而钻石结构。在Tersoff和Edip模型的情况下,我们能够找到这些阶段之间的过渡。我们特别关注最先进的机器学习(ML)模型,GAP-20,并计算出最高1 TPA的相位图,以评估其预测能力在模型的拟合条件之外。尽管有各种意外的石墨层间距,但相图与最高200 GPA的实验相图显示出非常良好的一致性。在嵌套采样的上方,确定了两个新型稳定的固体结构,即紧张的钻石结构,高于800 GPA A紧张的六边形粘着结构。但是,DFT计算未证实这两个阶段的稳定性,突出了潜在的途径,以进一步改善ML模型。
In the present work we detail how the many-body potential energy landscape of interatomic potentials for carbon can be explored by utilising the nested sampling algorithm, allowing the calculation of their pressure-temperature phase diagram up to high pressures. We present a comparison of three interatomic potential models, Tersoff, EDIP and GAP-20, focusing on their macroscopic properties, particularly on their melting transition and on identifying thermodynamically stable solid structures up to at least 100 GPa. The studied models all form graphite structures upon freezing at lower pressure, then the diamond structure as the pressure increases. We were able to locate the transition between these phases in case of the Tersoff and EDIP models. We placed particular focus on the state-of-the-art machine learning (ML) model, GAP-20, and calculated its phase diagram up to 1 TPa to evaluate its predictive capabilities well outside of the model's fitting conditions. The phase diagram showed a remarkably good agreement with the experimental phase diagram up to 200 GPa, despite a variety of unexpected graphite layer spacing. Above that nested sampling identified two novel stable solid structures, a strained diamond structure and above 800 GPa a strained hexagonal-close-packed structure. However, the stability of these two phases were not confirmed by DFT calculations, highlighting potential routes to further improve the ML model.