  Charge correlations in dense ionic fluids give rise to novel effects such as
long-range screening and colloidal stabilization which are not predicted by the
classic Debye-Huckel theory. We show that a Coulomb or charge-frustrated Ising
model, which accounts for both long-range Coulomb and short-range molecular
interactions, simply describes some of these ionic correlations. In particular,
we obtain at mean field level and in simulations, a non-monotonic dependence of
the screening length on the temperature. Using a combination of simulations and
mean field theories, we study how the correlations in the various regimes are
affected by the strength of the short ranged interactions.
