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arXiv 1409.3880cond-mat.mtrl-sci
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一种自动产生量子精确原子间相互作用势的谱分析方法

A Spectral Analysis Method for Automated Generation of Quantum-Accurate Interatomic Potentials

Aidan P. Thompson, Laura P. Swiler, Christian R. Trott, Stephen M. Foiles, Garritt J. Tucker

摘要:

提出了一种新的固体和液体原子间相互作用势,称为光谱近邻分析势(SNAP)。SNAP势具有非常一般的形式,并使用机器学习技术来再现大量小原子配置的能量,力和应力张量,这些配置是使用高精度量子电子结构(QM)计算获得的。每个原子的局部环境的特征在于由一组局部邻居密度的双谱分量投影到四维超球谐函数的基础上。双谱分量与GAP势[arXiv:0910.1019]采用的键取向序参量相同。SNAP势,不像GAP,假定原子能量和双谱分量之间的线性关系。线性SNAP系数使用加权最小二乘线性回归针对完整QM训练集来确定。这允许SNAP电位以鲁棒的、自动的方式拟合到使用许多双谱系数的大QM数据集。

英文摘要:

We present a new interatomic potential for solids and liquids called Spectral Neighbor Analysis Potential (SNAP). The SNAP potential has a very general form and uses machine-learning techniques to reproduce the energies, forces, and stress tensors of a large set of small configurations of atoms, which are obtained using high-accuracy quantum electronic structure (QM) calculations. The local environment of each atom is characterized by a set of bispectrum components of the local neighbor density projected on to a basis of hyperspherical harmonics in four dimensions. The bispectrum components are the same bond-orientational order parameters employed by the GAP potential [arXiv:0910.1019]. The SNAP potential, unlike GAP, assumes a linear relationship between atom energy and bispectrum components. The linear SNAP coefficients are determined using weighted least-squares linear regression against the full QM training set. This allows the SNAP potential to be fit in a robust, automated manner to large QM data sets using many bispectrum coefficients.

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