Percolation model of ion transport in channel structures

Using the results of two-dimensional simulation and the analogy with diffusion it is shown that during the flux of a direct current the dynamic volume charge having a fractal geometry is formed at the electrode/superionic conductor interface. With the methods of percolation theory it is shown that the time dependence of the conductivity of volume charge region follows a fractal power law. In this case Fourier transformation leads to a frequency response with constant phase element (CPE) at low frequencies. Paper presented at the 1st Euroconference on Solid State Ionics, Zakynthos, Greece, 11 – 18 September 1994.