Modified Poisson-Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids
Yu. A. Budkov,
A. L. Kolesnikov
Abstract:We propose a field-theoretical approach based on the thermodynamic perturbation theory and within it derive a grand thermodynamic potential of the inhomogeneous ionic fluid as a functional of electrostatic potential for an arbitrary reference fluid system. We obtain a modified Poisson-Boltzmann equation as the Euler-Lagrange equation for the obtained functional. Applying Noether's theorem to this functional, we derive a general mean-field expression for the stress tensor consistent with the respective modified… Show more
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