03-32U

Microscopic one-dimensional model for the description of the dynamic properties of the ion subsystem in superionic conductor is considered. The processes of ionic hopping are described in terms of Pauli operators. Time correlation functions $\left $ are calculated, the frequency dependences of autocorrelation functions $J_{b^+b}(\omega )$ are obtained and analyzed at high temperatures. The density of states for ion subsystem is calculated and dependence of average number of particles on the site energy is investigated.