Charge fluctuations on membrane surfaces in water

We generalize the predictions for attractions between overall neutral surfa ces induced by charge fluctuations or correlations to nonuniform systems th at include dielectric discontinuities, as is the case for mixed charged lip id membranes in an aqueous solution. We show that the induced interactions depend in a nontrivial way on the dielectric constants of membrane and wate r and show different scaling with distance depending on these properties. T he generality of the calculations also allows us to predict under which die lectric conditions the interaction will change sign and become repulsive.