Simulations at conducting interfaces: Boundary conditions for electrodes and electrolytes

The purpose of this paper is to derive a set of boundary conditions appropriate for simulating a wide variety of electrochemical and biophysical systems which are not necessarily electrically neutral. This is done by using the method of Green's function, a generalization of the method of images, for solving the Poisson equation to provide boundary conditions for simulating electrochemical reactions involving ions confined between metal electrodes as well as ions in membranes enclosed between regions of aqueous electrolytes.