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Updated: May 31, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Effective dipole model for electrostatic interactions between polarizable spherical particles in particle scale
Maria Giordano1, Francesca O Alfano2, Francesco P Di Maio2
1DIMES Department, University of Calabria, Rende, 87036, Italy. maria.giordano@unical.it.
This study introduces an effective dipole model for simulating electrically charged particles, improving upon the Coulomb approximation. The new model accurately predicts particle interactions and aggregation phenomena in simulations.
Area of Science:
- Physics
- Computational Science
- Materials Science
Background:
- Particle-scale simulations like the Discrete Element Method (DEM) often lack realistic polarization effects for charged particles.
- The standard Coulomb point-charge approximation fails to capture crucial close-distance interactions and polarization phenomena.
- Accurate methods for modeling charged particle interactions are computationally too complex for large-scale DEM simulations.
Purpose of the Study:
- To develop a novel, simplified, yet accurate effective dipole model for simulating electrically charged, polarizable particles.
- To improve the prediction of inter-particle forces in DEM simulations by incorporating realistic polarization.
- To investigate the formation of particle aggregates in DEM simulations using the new model.
Main Methods:
- Development of a closed-form solution for interaction forces between charged polarizable spheres using an effective dipole model.
- Comparison of the proposed dipole model against a rigorous solution for two-particle interactions.
- Dynamic Discrete Element Method (DEM) simulation of a binary particle mixture in a shaker.
Main Results:
- The effective dipole model shows significant improvement over the Coulomb law in predicting interaction forces between charged spherical particles.
- The model's accuracy is validated against rigorous solutions, considering particle size and charge ratios.
- DEM simulations using the effective dipole model successfully predicted the counterintuitive formation of fine-on-coarse aggregates in a charged binary mixture.
Conclusions:
- The proposed effective dipole model offers a computationally efficient and accurate approach for simulating electrically charged, polarizable particles in DEM.
- This advancement enables more realistic modeling of natural and industrial processes involving charged particle dynamics.
- The model's ability to predict aggregate formation highlights its potential for understanding complex particle system behaviors.
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