  Criticality in a fluid of dielectric constant D that exhibits Ising-type
behavior is studied as additional electrostatic (i.e., ionic) interactions are
turned on. An exploratory perturbative calculation is performed for small
ionicity as measured by the ratio of the electrostatic energy to the strength
of the short-range nonionic (i.e., van der Waals) interactions in the uncharged
fluid.
  With the aid of distinct transformations for the short-range and for the
Coulombic interactions, an effective Hamiltonian with coefficients depending on
the ionicity is derived at the Debye-Hueckel limiting-law level for a fully
symmetric model. The crossover between classical (mean-field) and Ising
behavior is then estimated using a Ginzburg criterion. This indicates that the
reduced crossover temperature depends only weakly on the ionicity (and on the
range of the nonionic potentials); however, the trends do correlate with the,
much stronger, dependence observed experimentally.
