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arXiv 2402.07472physics.comp-phcs.LGphysics.chem-ph
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用于机器学习原子间势的笛卡尔原子簇展开

Cartesian atomic cluster expansion for machine learning interatomic potentials

University of California, Berkeley(加州大学伯克利分校);The Institute of Science and Technology Austria(奥地利科技学院)

Bingqing Cheng

AI总结:

针对球谐基函数和 Clebsch-Gordan 收缩带来的计算冗余,提出基于笛卡尔坐标的原子密度展开方法 CACE,通过结合低维元素嵌入和消息传递,在体相水、小分子及高熵合金等多种系统中展现了良好的准确性、稳定性和泛化性。

摘要:

机器学习原子间势正在变革材料科学和化学领域的大规模、高精度原子级建模。许多势函数使用原子簇展开或等变消息传递框架。此类框架通常使用球谐函数作为角基函数,然后使用 Clebsch-Gordan 收缩来保持旋转对称性,这可能会在表示中引入冗余和计算开销。我们提出了一种替代方案:基于笛卡尔坐标的原子密度展开。该方法提供了一组完整的、多项式独立的原子环境特征,同时维持了相互作用体阶。此外,我们整合了各种化学元素的低维嵌入和原子间消息传递。所得势函数名为 Cartesian Atomic Cluster Expansion (CACE),展现出良好的准确性、稳定性和泛化性。我们在多种系统中验证了其性能,包括体相水、小分子和 25 元素高熵合金。

英文摘要:

Machine learning interatomic potentials are revolutionizing large-scale, accurate atomistic modelling in material science and chemistry. Many potentials use atomic cluster expansion or equivariant message passing frameworks. Such frameworks typically use spherical harmonics as angular basis functions, and then use Clebsch-Gordan contraction to maintain rotational symmetry, which may introduce redundancies in representations and computational overhead. We propose an alternative: a Cartesian-coordinates-based atomic density expansion. This approach provides a complete set of polynormially indepedent features of atomic environments while maintaining interaction body orders. Additionally, we integrate low-dimensional embeddings of various chemical elements and inter-atomic message passing. The resulting potential, named Cartesian Atomic Cluster Expansion (CACE), exhibits good accuracy, stability, and generalizability. We validate its performance in diverse systems, including bulk water, small molecules, and 25-element high-entropy alloys.

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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