Electrostatics of Multilamellar Vesicles:
Legendre Expansion and Reaction-Field Brownian Dynamics
Veaceslav Zaloj and Noam Agmon
An analytic expression for the electrostatic potential of a point charge
within a concentric multilayered dielectric medium is derived in terms of
a Legendre expansion.
A novel Brownian dynamics algorithm for solving the Poisson equation for the
reaction-field potential of charges near dielectric interfaces is presented.
To test both the computed and analytic solutions, the reaction-field
potential and self-energy of a charge within a liposome are calculated
and compared.
