title: Efficient and accurate simulation of dynamic dielectric objects.
abstract: Electrostatic interactions between dielectric objects are complex and of a many-body nature, owing to induced surface bound charge. We present a collection of techniques to simulate dynamical dielectric objects. We calculate the surface bound charge from a matrix equation using the Generalized Minimal Residue method (GMRES). Empirically, we find that GMRES converges very quickly. Indeed, our detailed analysis suggests that the relevant matrix has a very compact spectrum for all non-degenerate dielectric geometries. Each GMRES iteration can be evaluated using a fast Ewald solver with cost that scales linearly or near-linearly in the number of surface charge elements. We analyze several previously proposed methods for calculating the bound charge, and show that our approach compares favorably.
authors: Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, USA.
authors: Kipton
authors: K
authors: Barros
authors: Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, USA.
authors: Daniel
authors: D
authors: Sinkovits
authors: Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, USA.
authors: Erik
authors: E
authors: Luijten
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D055672:Static Electricity