Ac conductivity measurements have been performed on the superionic gla
ssy system (AgI)(x)(AgPO3)(1-x). It is found that there are two contri
butions to the ac conductivity: one, dominant at high temperatures/low
frequencies, is characterised by a sublinear frequency exponent of th
e conductivity, s(1) similar or equal to 0.5, and the conductivity is
thermally activated, with an activation energy smaller than, but compa
rable to, that of the dc conductivity; the second, dominant at low tem
peratures/high frequencies, is characterised by a superlinear frequenc
y exponent, s(2) similar or equal to 1.2, and the conductivity is also
thermally activated, but the activation energy is an order of magnitu
de smaller. The former behaviour is interpreted in terms of the diffus
ion-controlled relaxation model, and the latter in terms of local ioni
c hopping motion within a double-well potential with an exponentially
decreasing distribution of barrier heights.