A further development of the use of transmission lines to describe the movement of charge in conducting polymers

Abstract The description of charge transfer using transmission lines and driving potentials, the Nernst potential and a Donnan potential for each ion is shown to be perfectly compatible with the fundamental equation describing the bimolecular hopping of electrons in the polymer and the Nernst-Planck equation describing the motion of each ion. It is shown that for a small perturbation a small cross-term is negligible and that there is then complete accord between the equations used in the transmission line approach and the fundamental transport equations. Sequences of potential distance profiles for a number of cases are presented. In particular it is shown that the transmission line approache describes perfectly the development of a liquid junction when a binary electrolyte is diffusing down a concentration gradient. This complete concordance further demonstrates the power of the transmission line approach.