Some ionic components slowly move through glacier ice by diffusion, but the rate of this diffusion, its exact mechanism(s), and the factors that might influence it are poorly understood. In this study, we model how peaks in sulfate, deposited at Dome C on the Antarctic ice sheet after volcanic eruptions, change with depth and time. We find that the sulfate diffusion rate in ice is relatively fast in young ice near the surface, but the rate is markedly reduced over time.