A model which describes the process of the charging of a metal/superio
nic-conductor boundary has been proposed. The model is based on a conc
eption of the fractal character of the motion of particles in a networ
k of regular channels. Numerical calculations performed by the random-
walk method have shown that the predictions of the model do not deviat
e qualitatively from experiment and make it possible to explain the pr
esence of a constant phase element in equivalent circuits of cells wit
h solid electrolytes. Experimental data on the frequency dependence of
the complex capacitance and the phase angle for a blocked-electrode/s
olid-electrolyte boundary have also been presented.