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Updated: Feb 18, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Simulations of Coulomb systems confined by polarizable surfaces using periodic Green functions
Alexandre P Dos Santos1, Matheus Girotto1, Yan Levin1
1Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP 91501-970 Porto Alegre, RS, Brazil.
Abstract:
We present an efficient approach for simulating Coulomb systems confined by planar polarizable surfaces. The method is based on the solution of the Poisson equation using periodic Green functions. It is shown that the electrostatic energy arising from the surface polarization can be decoupled from the energy due to the direct Coulomb interaction between the ions. This allows us to combine an efficient Ewald summation method, or any other fast method for summing over the replicas, with the polarization contribution calculated using Green function techniques. We apply the method to calculate density profiles of ions confined between the charged dielectric and metal surfaces.
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