Theory of Inhomogeneous Rod-like Coulomb Fluids

A field theoretic representation of the classical partition function is derived for a system composed mixture anisotropic and isotropic mobile charges that interact via long range Coulomb short nematic interactions. The theory then solved on saddle-point approximation level, leading to coupled Poisson–Boltzmann Maier–Saupe equations. Explicit solutions are finally obtained rod-like counterion-only in proximity charged planar wall. order parameter profile, counterion density profile electrostatic potential interpreted within framework nematic–isotropic wetting phase with Donnan difference.