Correcting force error-induced underestimation of lattice thermal conductivity in machine learning molecular dynamics

Fuente: arXiv
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Main Authors: Wu, Xiguang, Zhou, Wenjiang, Dong, Haikuang, Ying, Penghua, Wang, Yanzhou, Song, Bai, Fan, Zheyong, Xiong, Shiyun
Format: Preprint
Published: 2024
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author Wu, Xiguang
Zhou, Wenjiang
Dong, Haikuang
Ying, Penghua
Wang, Yanzhou
Song, Bai
Fan, Zheyong
Xiong, Shiyun
author_facet Wu, Xiguang
Zhou, Wenjiang
Dong, Haikuang
Ying, Penghua
Wang, Yanzhou
Song, Bai
Fan, Zheyong
Xiong, Shiyun
contents Machine learned potentials (MLPs) have been widely employed in molecular dynamics (MD) simulations to study thermal transport. However, literature results indicate that MLPs generally underestimate the lattice thermal conductivity (LTC) of typical solids. Here, we quantitatively analyze this underestimation in the context of the neuroevolution potential (NEP), which is a representative MLP that balances efficiency and accuracy. Taking crystalline silicon, GaAs, graphene, and PbTe as examples, we reveal that the fitting errors in the machine-learned forces against the reference ones are responsible for the underestimated LTC as they constitute external perturbations to the interatomic forces. Since the force errors of a NEP model and the random forces in the Langevin thermostat both follow a Gaussian distribution, we propose an approach to correcting the LTC by intentionally introducing different levels of force noises via the Langevin thermostat and then extrapolating to the limit of zero force error. Excellent agreement with experiments is obtained by using this correction for all the prototypical materials over a wide range of temperatures. Based on spectral analyses, we find that the LTC underestimation mainly arises from increased phonon scatterings in the low-frequency region caused by the random force errors.
format Preprint
id arxiv_https___arxiv_org_abs_2401_11427
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Correcting force error-induced underestimation of lattice thermal conductivity in machine learning molecular dynamics
Wu, Xiguang
Zhou, Wenjiang
Dong, Haikuang
Ying, Penghua
Wang, Yanzhou
Song, Bai
Fan, Zheyong
Xiong, Shiyun
Materials Science
Mesoscale and Nanoscale Physics
Machine learned potentials (MLPs) have been widely employed in molecular dynamics (MD) simulations to study thermal transport. However, literature results indicate that MLPs generally underestimate the lattice thermal conductivity (LTC) of typical solids. Here, we quantitatively analyze this underestimation in the context of the neuroevolution potential (NEP), which is a representative MLP that balances efficiency and accuracy. Taking crystalline silicon, GaAs, graphene, and PbTe as examples, we reveal that the fitting errors in the machine-learned forces against the reference ones are responsible for the underestimated LTC as they constitute external perturbations to the interatomic forces. Since the force errors of a NEP model and the random forces in the Langevin thermostat both follow a Gaussian distribution, we propose an approach to correcting the LTC by intentionally introducing different levels of force noises via the Langevin thermostat and then extrapolating to the limit of zero force error. Excellent agreement with experiments is obtained by using this correction for all the prototypical materials over a wide range of temperatures. Based on spectral analyses, we find that the LTC underestimation mainly arises from increased phonon scatterings in the low-frequency region caused by the random force errors.
title Correcting force error-induced underestimation of lattice thermal conductivity in machine learning molecular dynamics
topic Materials Science
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2401.11427