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We analyse the correlated back and forth dynamics and dynamicheterogeneities, i.e. the presence of fast and slow ions, for a lithiummetasilicate system via computer simulations. For this purpose we define, inanalogy to previous work in the field of glass transition, appropriatethree-time correlation functions. They contain information about the dynamicsduring two successive time intervals. First we apply them to simple modelsystems in order to clarify their information content. Afterwards we use thisformalism to analyse the lithium trajectories. A strong back-dragging effect isobserved, which also fulfills the time-temperature superposition principle.Furthermore, it turns out that the back-dragging effect is long-ranged andexceeds the nearest neighbor position. In contrast, the strength of the dynamicheterogeneities does not fulfill the time-temperature superposition principle.The lower the temperature, the stronger the mobility difference between fastand slow ions. The results are then compared with the simple model systemsconsidered here as well as with some lattice models of ion dynamics.Comment: 12 pages, 10 figure

Backward correlations and dynamic heterogeneities: A computer study of ion dynamics