Electrostatics

Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures

We consider electrostatic interactions in two classes of nanostructures embedded in a three dimensional space: (1) helical nanotubes, and (2), thin films with uniform bending (i.e., constant mean curvature). Starting from the atomic scale with a …

Atomic-to-Continuum Multiscale Modeling of Defects in Crystals with Nonlocal Electrostatic Interactions

This work develops a multiscale modeling framework for defects in crystals with general geometries and boundary conditions in which ionic interactions are important, with potential application to, e.g., ionic solids and electric field interactions …

Coarse Graining of Electric Field Interactions With Materials

In this work, we present our continuum limit calculations of electrical interactions in ionic crystals and dielectrics. Continuum limit calculations serve two main purposes. First, they give an idea of how the macroscopic behavior of the material is …