Simultaneous Learning of Static and Dynamic Charges

Fuente: arXiv
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Autores principales: Stärk, Philipp, Stooß, Henrik, Langer, Marcel F., Rumiantsev, Egor, Schlaich, Alexander, Ceriotti, Michele, Loche, Philip
Formato: Preprint
Publicado: 2026
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author Stärk, Philipp
Stooß, Henrik
Langer, Marcel F.
Rumiantsev, Egor
Schlaich, Alexander
Ceriotti, Michele
Loche, Philip
author_facet Stärk, Philipp
Stooß, Henrik
Langer, Marcel F.
Rumiantsev, Egor
Schlaich, Alexander
Ceriotti, Michele
Loche, Philip
contents Long-range interactions and electric response are essential for accurate modeling of condensed-phase systems, but capturing them efficiently remains a challenge for atomistic machine learning. Traditionally, these two phenomena can be represented by static charges, that participate in Coulomb interactions between atoms, and dynamic charges such as atomic polar tensors - aka Born effective charges - describing the response to an external electric field. We critically compare different approaches to learn both types of charges, taking bulk water and water clusters as paradigmatic examples: (1) Learning them independently; (2) Coupling static and dynamic charges based on their physical relationship with a single global coupling constant to account for dielectric screening; (3) Coupled learning with a local, environment-dependent screening factor. In the coupled case, correcting for dielectric screening is essential, yet the common assumption of homogeneous, isotropic screening breaks down in heterogeneous systems such as water clusters. A learned, environment-dependent screening restores high accuracy for the dynamical charges. However, the accuracy gain over independent dynamic predictions is negligible, while the computational cost increases compared to using separate models for static and dynamical charges. This suggests that, despite the formal connection between the two charge types, modeling them independently is the more practical choice for both condensed-phase and isolated cluster systems.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03656
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Simultaneous Learning of Static and Dynamic Charges
Stärk, Philipp
Stooß, Henrik
Langer, Marcel F.
Rumiantsev, Egor
Schlaich, Alexander
Ceriotti, Michele
Loche, Philip
Chemical Physics
Long-range interactions and electric response are essential for accurate modeling of condensed-phase systems, but capturing them efficiently remains a challenge for atomistic machine learning. Traditionally, these two phenomena can be represented by static charges, that participate in Coulomb interactions between atoms, and dynamic charges such as atomic polar tensors - aka Born effective charges - describing the response to an external electric field. We critically compare different approaches to learn both types of charges, taking bulk water and water clusters as paradigmatic examples: (1) Learning them independently; (2) Coupling static and dynamic charges based on their physical relationship with a single global coupling constant to account for dielectric screening; (3) Coupled learning with a local, environment-dependent screening factor. In the coupled case, correcting for dielectric screening is essential, yet the common assumption of homogeneous, isotropic screening breaks down in heterogeneous systems such as water clusters. A learned, environment-dependent screening restores high accuracy for the dynamical charges. However, the accuracy gain over independent dynamic predictions is negligible, while the computational cost increases compared to using separate models for static and dynamical charges. This suggests that, despite the formal connection between the two charge types, modeling them independently is the more practical choice for both condensed-phase and isolated cluster systems.
title Simultaneous Learning of Static and Dynamic Charges
topic Chemical Physics
url https://arxiv.org/abs/2601.03656