A minimizing principle for the Poisson-Boltzmann equation
Soft Condensed Matter
2013-01-14 v1 Statistical Mechanics
Computational Physics
Abstract
The Poisson-Boltzmann equation is often presented via a variational formulation based on the electrostatic potential. However, the functional has the defect of being non-convex. It can not be used as a local minimization principle while coupled to other dynamic degrees of freedom. We formulate a convex dual functional which is numerically equivalent at its minimum and which is more suited to local optimization.
Cite
@article{arxiv.1201.1415,
title = {A minimizing principle for the Poisson-Boltzmann equation},
author = {A. C. Maggs},
journal= {arXiv preprint arXiv:1201.1415},
year = {2013}
}
Comments
5 pages, 0 figures