Non linear fractal impedance model of an electrode-electrolyte interface

We present a non-linear distributed-parameter fractal model circuit of an electrode-electrolyte interface. The circuit includes a charge transfer resistance Rtc, which is deduced theoretically from the flat electrode Butler-Volmer equation. This circuit explains the fact that when small amplitude signals (<10 mV) of constant frequency are applied, the series equivalent resistance Req behaves linearly with the voltage, but for voltages higher than a certain limit a nonlinearity appears which is manifested by the DC component of the fractal net Fourier spectrum analysis.