The transport of lithium ions across the material interface : fast-ion conducting glass - intercalate is simulated by a non-trivial lattice-gas model. The model takes explicitly into account the influence of the Coulomb correlations, the site-blocking effect and the boundary conditions on the ion kinetics. Potential device applications of the model are pointed out by computing the current density of lithium ions for material parameters of the real interface : doped ternary berate glass - indium selenide, which constitute the electrolyte and the cathode, respectively, of a thin-film microbattery with improved performance.