Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations

Abstract Despite their widespread adoption, particle-scale simulation methods, such as the Discrete Element Method (DEM), for electrically charged particles in several natural processes and industrial transformations do not include realistic polarization effects. At close distances, these can domina...

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Main Authors: Maria Giordano, Francesca O. Alfano, Francesco P. Di Maio, Alberto Di Renzo
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-86181-x
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author Maria Giordano
Francesca O. Alfano
Francesco P. Di Maio
Alberto Di Renzo
author_facet Maria Giordano
Francesca O. Alfano
Francesco P. Di Maio
Alberto Di Renzo
author_sort Maria Giordano
collection DOAJ
description Abstract Despite their widespread adoption, particle-scale simulation methods, such as the Discrete Element Method (DEM), for electrically charged particles in several natural processes and industrial transformations do not include realistic polarization effects. At close distances, these can dominate the particle motion and are impossible to predict by the commonly adopted Coulomb point-charge approximation. Sophisticated mathematical tools can account for uneven charge distributions, predicting an attractive force between a charged particle and a neutral particle or possible attraction between two like-charged particles. Such approaches are accurate but too complex for implementation in DEM simulations of many interacting particles. We propose a novel, simpler yet realistically accurate effective dipole model. By attributing a net charge and an induced effective dipole to each sphere, the interaction force between charged polarizable particles is computed in closed form. A comparison of a rigorous solution and the proposed dipole approach for two spherical particles reveals significant improvement over the commonly employed Coulomb law. The effects of particle size ratio and charge ratio on the interaction force are discussed. Then, the dynamic DEM simulation of a shaker filled with a binary mixture of differently sized particles that are all positively charged is shown to predict the counterintuitive formation of fine-on-coarse aggregates.
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spelling doaj-art-b3a4acdd43dc4abb9ddb6d43f0101e982025-01-26T12:25:31ZengNature PortfolioScientific Reports2045-23222025-01-0115111210.1038/s41598-025-86181-xEffective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulationsMaria Giordano0Francesca O. Alfano1Francesco P. Di Maio2Alberto Di Renzo3DIMES Department, University of CalabriaDIMES Department, University of CalabriaDIMES Department, University of CalabriaDIMES Department, University of CalabriaAbstract Despite their widespread adoption, particle-scale simulation methods, such as the Discrete Element Method (DEM), for electrically charged particles in several natural processes and industrial transformations do not include realistic polarization effects. At close distances, these can dominate the particle motion and are impossible to predict by the commonly adopted Coulomb point-charge approximation. Sophisticated mathematical tools can account for uneven charge distributions, predicting an attractive force between a charged particle and a neutral particle or possible attraction between two like-charged particles. Such approaches are accurate but too complex for implementation in DEM simulations of many interacting particles. We propose a novel, simpler yet realistically accurate effective dipole model. By attributing a net charge and an induced effective dipole to each sphere, the interaction force between charged polarizable particles is computed in closed form. A comparison of a rigorous solution and the proposed dipole approach for two spherical particles reveals significant improvement over the commonly employed Coulomb law. The effects of particle size ratio and charge ratio on the interaction force are discussed. Then, the dynamic DEM simulation of a shaker filled with a binary mixture of differently sized particles that are all positively charged is shown to predict the counterintuitive formation of fine-on-coarse aggregates.https://doi.org/10.1038/s41598-025-86181-xGranular solidsDEM simulationsElectrostaticsCharged particlesPolarizationShaken mixtures
spellingShingle Maria Giordano
Francesca O. Alfano
Francesco P. Di Maio
Alberto Di Renzo
Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations
Scientific Reports
Granular solids
DEM simulations
Electrostatics
Charged particles
Polarization
Shaken mixtures
title Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations
title_full Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations
title_fullStr Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations
title_full_unstemmed Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations
title_short Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations
title_sort effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale simulations
topic Granular solids
DEM simulations
Electrostatics
Charged particles
Polarization
Shaken mixtures
url https://doi.org/10.1038/s41598-025-86181-x
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