Shock Hugoniot calculations using on-the-fly machine learned force fields with ab initio accuracy

Fuente: arXiv
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Hauptverfasser: Kumar, Shashikant, Pask, John E., Suryanarayana, Phanish
Format: Preprint
Veröffentlicht: 2024
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author Kumar, Shashikant
Pask, John E.
Suryanarayana, Phanish
author_facet Kumar, Shashikant
Pask, John E.
Suryanarayana, Phanish
contents We present a framework for computing the shock Hugoniot using on-the-fly machine learned force field (MLFF) molecular dynamics simulations. In particular, we employ an MLFF model based on the kernel method and Bayesian linear regression to compute the electronic free energy, atomic forces, and pressure; in conjunction with a linear regression model between the electronic internal and free energies to compute the internal energy, with all training data generated from Kohn-Sham density functional theory (DFT). We verify the accuracy of the formalism by comparing the Hugoniot for carbon with recent Kohn-Sham DFT results in the literature. In so doing, we demonstrate that Kohn-Sham calculations for the Hugoniot can be accelerated by up to two orders of magnitude, while retaining ab initio accuracy. We apply this framework to calculate the Hugoniots of 14 materials in the FPEOS database, comprising 9 single elements and 5 compounds, between temperatures of 10 kK and 2 MK. We find good agreement with first principles results in the literature while providing tighter error bars. In addition, we confirm that the inter-element interaction in compounds decreases with temperature.
format Preprint
id arxiv_https___arxiv_org_abs_2407_15290
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Shock Hugoniot calculations using on-the-fly machine learned force fields with ab initio accuracy
Kumar, Shashikant
Pask, John E.
Suryanarayana, Phanish
Computational Physics
Plasma Physics
We present a framework for computing the shock Hugoniot using on-the-fly machine learned force field (MLFF) molecular dynamics simulations. In particular, we employ an MLFF model based on the kernel method and Bayesian linear regression to compute the electronic free energy, atomic forces, and pressure; in conjunction with a linear regression model between the electronic internal and free energies to compute the internal energy, with all training data generated from Kohn-Sham density functional theory (DFT). We verify the accuracy of the formalism by comparing the Hugoniot for carbon with recent Kohn-Sham DFT results in the literature. In so doing, we demonstrate that Kohn-Sham calculations for the Hugoniot can be accelerated by up to two orders of magnitude, while retaining ab initio accuracy. We apply this framework to calculate the Hugoniots of 14 materials in the FPEOS database, comprising 9 single elements and 5 compounds, between temperatures of 10 kK and 2 MK. We find good agreement with first principles results in the literature while providing tighter error bars. In addition, we confirm that the inter-element interaction in compounds decreases with temperature.
title Shock Hugoniot calculations using on-the-fly machine learned force fields with ab initio accuracy
topic Computational Physics
Plasma Physics
url https://arxiv.org/abs/2407.15290