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- W4387076338 abstract "The non-equilibrium steady states of a semi-infinite quasi-one-dimensional univalent binary electrolyte solution, characterised by non-vanishing electric currents, are investigated by means of Poisson-Nernst-Planck (PNP) theory. Exact analytical expressions of the electric field, the charge density and the number density are derived, which depend on the electric current density as a parameter. From a non-equilibrium version of the Grahame equation, which relates the total space charge per cross-sectional area and the corresponding contribution of the electric potential drop, the current-dependent differential capacitance of the diffuse layer is derived. In the limit of vanishing electric current these results reduce to those within Gouy-Chapman theory. It is shown that improperly chosen boundary conditions lead to non-equilibrium steady state solutions of the PNP equations with negative ion number densities. A necessary and sufficient criterion on surface conductivity constitutive relations is formulated which allows one to detect such unphysical solutions." @default.
- W4387076338 created "2023-09-27" @default.
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- W4387076338 date "2023-09-25" @default.
- W4387076338 modified "2023-09-28" @default.
- W4387076338 title "Non-equilibrium steady states of electrolyte interfaces" @default.
- W4387076338 doi "https://doi.org/10.48550/arxiv.2309.14126" @default.
- W4387076338 hasPublicationYear "2023" @default.
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