Podgornik, R. Theory of Inhomogeneous Rod-like Coulomb Fluids. Symmetry2021, 13, 274.
Podgornik, R. Theory of Inhomogeneous Rod-like Coulomb Fluids. Symmetry 2021, 13, 274.
A field theoretic representation of the classical partition function is derived for a system composed of a mixture of anisotropic and isotropic mobile charges that interact via long range Coulomb and short range nematic interactions. The field theory is then solved on a saddle-point approximation level, leading to a coupled system of Poisson-Boltzmann and Maier-Saupe equations. Explicit solutions are finally obtained for a calamitic counterion-only system in proximity of a charged planar wall. The nematic order parameter profile, the counterion density profile and the electrostatic potential profile are interpreted within the framework of a nematic-isotropic wetting phase with a Donnan potential difference.
nematic interaction; Coulomb fluids; nematic wetting; electric double layer
PHYSICAL SCIENCES, Acoustics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.