V. Zaloj et N. Agmon, ELECTROSTATICS OF MULTILAMELLAR VESICLES - LEGENDRE EXPANSION AND REACTION-FIELD BROWNIAN DYNAMICS, The Journal of chemical physics, 108(3), 1998, pp. 1216-1224
An analytic expression for the electrostatic potential of a point char
ge within a concentric multilayered dielectric medium is derived in te
rms of a Legendre expansion. A novel Brownian dynamics algorithm for s
olving the Poisson equation for the reaction-field potential of charge
s near dielectric interfaces is presented. To test both the computed a
nd analytic solutions, the reaction-field potential and self-energy of
a charge within a liposome are calculated and compared. (C) 1998 Amer
ican Institute of Physics. [S0021-9606(98)52103-4].