A minimizing principle for the Poisson-Boltzmann equation

Details A minimizing principle for the Poisson-Boltzmann equation A minimizing principle for the Poisson-Boltzmann equation

2012-01-06

arxiv.org/abs/1201.1415v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 0 figures

Scientific paper

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.

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