Electrolyte solutions at curved electrodes. I. Mesoscopic approach

Abstract

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic strength $I$ are examined as function of the wall curvature. The surface charge density has a strong effect on the capacitance for small curvatures whereas for large curvatures the behavior becomes independent of $\sigma$. An expansion for small curvatures gives rise to capacitance coefficients which depend only on a single parameter, allowing for a convenient analysis. The universal behavior at large curvatures can be captured by an analytic expression.

accepted for publication in the Journal of Chemical Physics

References in corpus (5)

• Bending rigidity and higher order curvature terms for the hard-sphere fluid near a curved wall
• Electrolyte solutions at curved electrodes. II. Microscopic approach
• Implications of interface conventions for morphometric thermodynamics
• Poisson-Boltzmann thermodynamics of counter-ions confined by curved hard walls
• Preferential interaction coefficient for nucleic acids and other cylindrical poly-ions

Cited by in corpus (3)

• Curvature affects electrolyte relaxation: studies of spherical and cylindrical electrodes
• Driving an electrolyte through a corrugated nanopore
• Electrolyte solutions at curved electrodes. II. Microscopic approach