  Charge inversion occurring for smeared-out ions is accompanied by an
oscillatory charge density profile, indicating a layering of an alternating
charge. The layering effect, however, is not coextensive with charge inversion,
and charge inversion accompanied by a monotonically decaying profile is
possible. The present work focuses on the structure of a double-layer of
overscreened charged surfaces by smeared-out charges and probes the link
between the structure of a double-layer and the bulk properties of an
electrolyte, with special view to the role of the Kirkwood crossover.
