Exact curvature energies of charged membranes of arbitrary shapes

Abstract

We consider charged (and possibly conducting) membranes of arbitrary shapes immersed in an ionic solution. The electrostatic contribution to their free energy is exactly expressed as a convergent multiple scattering expansion. This allows the evaluation of the universal spontaneous, scalar and Gaussian curvature contributions to the membrane free energy. Topological effects are thus included. © 1990.