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.
Duplantier, B. (1990). Exact curvature energies of charged membranes of arbitrary shapes. Physica A: Statistical Mechanics and Its Applications, 168(1), 179–197. https://doi.org/10.1016/0378-4371(90)90369-4