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Based on the variational field theory framework, we extend our previousmean-field formalism, taking into account the electrostatic correlations of theions. We employ a general covariant approach and derive a total stress tensorthat considers the electrostatic correlations of ions. This is accomplishedthrough an additional term that depends on the autocorrelation function oflocal electric field fluctuations. Utilizing the derived total stress tensorand applying the mechanical equilibrium condition, we establish a generalexpression for the disjoining pressure of the Coulomb fluids, confined in apore with a slit-like geometry. Using this equation, we derive an asymptoticexpression for the disjoining pressure in a slit-like pore with non-electrifiedconductive walls. Present theory is the basis for future modeling of themechanical stresses that occur in electrode pores with conductive chargedwalls, immersed in liquid phase electrolytes beyond the mean-field theory.

Variational field theory of macroscopic forces in Coulomb fluids