Abstract
Ionic conductivity of a binary system consisting of two kinds of monovalent ions in the two dimensional honeycomb lattice has been calculated by the Path Probability Method of irreversible statistical mechanics in order to gain insight into the probable cause of the mixed alkali effect in glasses and β-aluminas. It is shown that, if the interaction between the two components is attractive, one can expect the existence of a sharp minimum in the conductivity at a certain composition. The minimum is mainly due to the percolation difficulty created by mutual arrangements of two kinds of ions. Relations between the percolation difficulty and the mixed alkali effect are discussed.
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