  In this short review, we discuss recent advances in exact solutions of models
based on a one- dimensional (1D) Coulomb gas by means of field-theoretic
functional integral methods. The exact solutions can be used to assess the
accuracy of various approximations such as the weak coupling Poisson-Boltzmann
theory as well as the strong coupling theory of Coulomb gases. We consider
three different 1D models: the Coulomb fluid configuration in the case of the
soap film model consisting of positively and negatively charged particles
between adsorbing boundaries, counterions between two charged surfaces, and an
ionic liquid lattice capacitor with positively and negatively charged particles
on a lattice between one positive and one negative bounding surface.
