Anharmonic phonons with Gaussian processes

Fuente: arXiv
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Main Authors: Keeratikarn, Keerati, Frost, Jarvist Moore
Format: Preprint
Published: 2024
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author Keeratikarn, Keerati
Frost, Jarvist Moore
author_facet Keeratikarn, Keerati
Frost, Jarvist Moore
contents We provide a method for calculating anharmonic lattice dynamics, by building a surrogate model based on Gaussian Processes (GPs). Due to the underlying Gaussian form of a GP, the model is infinitely differentiable. This allows us to train the model trained directly on forces (the derivative of PESs) reducing the evaluations required for a given accuracy. We can extend this differentiation to directly calculate second and third order force-constants using automatic differentiation (AD). For the five model materials we study, we find that the force-constants are in close agreement with a standard finite-displacement approach. Our method appears to be linear scaling in the number of atoms at predicting both second and third-order (anharmonic) force-constants.
format Preprint
id arxiv_https___arxiv_org_abs_2405_05113
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Anharmonic phonons with Gaussian processes
Keeratikarn, Keerati
Frost, Jarvist Moore
Materials Science
We provide a method for calculating anharmonic lattice dynamics, by building a surrogate model based on Gaussian Processes (GPs). Due to the underlying Gaussian form of a GP, the model is infinitely differentiable. This allows us to train the model trained directly on forces (the derivative of PESs) reducing the evaluations required for a given accuracy. We can extend this differentiation to directly calculate second and third order force-constants using automatic differentiation (AD). For the five model materials we study, we find that the force-constants are in close agreement with a standard finite-displacement approach. Our method appears to be linear scaling in the number of atoms at predicting both second and third-order (anharmonic) force-constants.
title Anharmonic phonons with Gaussian processes
topic Materials Science
url https://arxiv.org/abs/2405.05113