Optimization of Coulomb Energies in Gigantic Configurational Spaces of Multi-Element Ionic Crystals

Fuente: arXiv
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Autores principales: Köster, Konstantin, Binninger, Tobias, Kaghazchi, Payam
Formato: Preprint
Publicado: 2024
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author Köster, Konstantin
Binninger, Tobias
Kaghazchi, Payam
author_facet Köster, Konstantin
Binninger, Tobias
Kaghazchi, Payam
contents Most of the novel energy materials contain multiple elements occupying a single site in their lattice. The exceedingly large configurational space of these materials imposes challenges in determining their ground-state structures. Coulomb energies of possible configurations generally show a satisfactory correlation to computed energies at higher levels of theory and thus allow to screen for minimum-energy structures. Employing a second-order cluster expansion, we obtain an efficient Coulomb energy optimizer using Monte Carlo and Genetic Algorithms. The presented optimization package, GOAC (Global Optimization of Atomistic Configurations by Coulomb), can achieve a speed up of several orders of magnitude compared to existing software. Our code is able to find low-energy configurations of complex systems involving up to $10^{920}$ structural configurations. The GOAC package thus provides an efficient method for constructing ground-state atomistic models for multi-element materials with gigantic configurational spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2409_08808
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Optimization of Coulomb Energies in Gigantic Configurational Spaces of Multi-Element Ionic Crystals
Köster, Konstantin
Binninger, Tobias
Kaghazchi, Payam
Materials Science
Computational Physics
Most of the novel energy materials contain multiple elements occupying a single site in their lattice. The exceedingly large configurational space of these materials imposes challenges in determining their ground-state structures. Coulomb energies of possible configurations generally show a satisfactory correlation to computed energies at higher levels of theory and thus allow to screen for minimum-energy structures. Employing a second-order cluster expansion, we obtain an efficient Coulomb energy optimizer using Monte Carlo and Genetic Algorithms. The presented optimization package, GOAC (Global Optimization of Atomistic Configurations by Coulomb), can achieve a speed up of several orders of magnitude compared to existing software. Our code is able to find low-energy configurations of complex systems involving up to $10^{920}$ structural configurations. The GOAC package thus provides an efficient method for constructing ground-state atomistic models for multi-element materials with gigantic configurational spaces.
title Optimization of Coulomb Energies in Gigantic Configurational Spaces of Multi-Element Ionic Crystals
topic Materials Science
Computational Physics
url https://arxiv.org/abs/2409.08808