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Auteurs principaux: Grasselli, Federico, Rossi, Kevin, de Gironcoli, Stefano, Grisafi, Andrea
Format: Preprint
Publié: 2026
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Accès en ligne:https://arxiv.org/abs/2602.11071
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author Grasselli, Federico
Rossi, Kevin
de Gironcoli, Stefano
Grisafi, Andrea
author_facet Grasselli, Federico
Rossi, Kevin
de Gironcoli, Stefano
Grisafi, Andrea
contents The inclusion of long-range electrostatics in atomistic machine learning (ML) is receiving increasing attention for achieving quantum-mechanical accuracy in predicting a wide range of molecular and material properties. However, there is still no general prescription on how long-range physical effects should be incorporated into the model while preserving well-established locality principles underlying most transferable ML representations. Here, we provide a physical perspective on the problem, by discussing how distinct contributions to the system's electrostatics can be captured through the adoption of different learning paradigms. Specifically, we discern between local charge models, which rely either on explicit charge-density decompositions or implicit auxiliary variables, and models where a notion of nonlocality is deliberately introduced, either via self-consistent procedures or by using nonlocal descriptors and learning architectures. We further address the related aspect of incorporating finite-field effects through the coupling with the system's polarization, relevant for the application of an external electric bias. We conclude by discussing the implications for the simulation of electrochemical interfaces, where long-range electrostatics are essential to capture the interplay between charge redistribution, interfacial dynamics, and ionic screening, and for ionic transport phenomena, which, although less explored, appear far less sensitive to their inclusion.
format Preprint
id arxiv_https___arxiv_org_abs_2602_11071
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Long-range electrostatics in atomistic machine learning: a physical perspective
Grasselli, Federico
Rossi, Kevin
de Gironcoli, Stefano
Grisafi, Andrea
Materials Science
The inclusion of long-range electrostatics in atomistic machine learning (ML) is receiving increasing attention for achieving quantum-mechanical accuracy in predicting a wide range of molecular and material properties. However, there is still no general prescription on how long-range physical effects should be incorporated into the model while preserving well-established locality principles underlying most transferable ML representations. Here, we provide a physical perspective on the problem, by discussing how distinct contributions to the system's electrostatics can be captured through the adoption of different learning paradigms. Specifically, we discern between local charge models, which rely either on explicit charge-density decompositions or implicit auxiliary variables, and models where a notion of nonlocality is deliberately introduced, either via self-consistent procedures or by using nonlocal descriptors and learning architectures. We further address the related aspect of incorporating finite-field effects through the coupling with the system's polarization, relevant for the application of an external electric bias. We conclude by discussing the implications for the simulation of electrochemical interfaces, where long-range electrostatics are essential to capture the interplay between charge redistribution, interfacial dynamics, and ionic screening, and for ionic transport phenomena, which, although less explored, appear far less sensitive to their inclusion.
title Long-range electrostatics in atomistic machine learning: a physical perspective
topic Materials Science
url https://arxiv.org/abs/2602.11071