arXiv · 1409.3880
A Spectral Analysis Method for Automated Generation of Quantum-Accurate Interatomic Potentials
Abstract
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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Aidan P. Thompson, Laura P. Swiler, Christian R. Trott, Stephen M. Foiles, Garritt J. Tucker. 2014-09-12. A Spectral Analysis Method for Automated Generation of Quantum-Accurate Interatomic Potentials. https://doi.org/10.1016/j.jcp.2014.12.018
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