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The observed amount of lithium for low metallicity population II stars (knownas the Spite plateau) is a factor of $\sim 3-5$ lower than the predictions ofthe standard cosmology. Since the observations are limited to the localUniverse (halo stars, globular clusters and satellites of the Milky Way) it ispossible that certain physical processes may have led to the spatial separationof lithium and local reduction of [Li/H]. We study the question of lithiumdiffusion after the cosmological recombination in sub-Jeans dark matter haloes,taking into account that more than 95% of lithium remains in the singly-ionizedstate at all times. Large scattering cross sections on the rest of the ionizedgas leads to strong coupling of lithium to protons and its initial direction ofdiffusion coincides with that of H$^+$. In the rest frame of the neutral gasthis leads to the diffusion of H$^+$ and Li$^+$ out of overdensities with thetrend of reducing [Li/H] in the minima of gravitational wells relative to theprimordial value. We quantify this process and argue that, with certainqualifications, it may have played a significant role in creating local lithiumdeficiency within the primordial dark matter haloes, comparable to thoseobserved along the Spite plateau.

Lithium Diffusion in the Post-Recombination Universe and Spatial Variation of [Li/H]