We develop a microscopic model for the mixed alkali effect in crystals
of the beta- and beta ''-alumina type, which is based on the formatio
n of certain mobile defects and the fact that different types of mobil
e ions have a different preference to become part of these defects. Ou
r computer simulations for the ionic conductivity are in excellent agr
eement with experimental data. Our model predicts a common shape of th
e rescaled conductivity isotherms independent of temperature and the s
pecific type of probe, which is also in agreement with the available e
xperimental results.