We present a numerical method to describe the transport of ions through polymeric
electrolytes under the influence of an applied electrostatic field. The transport of ions results
in an ion concentration profile with a large gradient near charged interfaces, the so-called
diffuse layer. We show that the Poisson–Nernst–Planck theory, which generally describes
the transport of ions, can be simplified significantly if the dimensions of the bulk material are
much larger than the thickness of the diffuse layer. In this case, charge transport through the …