Curvature affects electrolyte relaxation: studies of spherical and cylindrical electrodes

Abstract

With two minimal models, I study how electrode curvature affects the response of electrolytes to applied electrostatic potentials. For flat electrodes, Bazant et al. [Phys. Rev. E. 70, 021506 (2004)] popularized the "RC" timescale ${\lambda }_{\text{D}}L/D$, with ${\lambda }_{\text{D}}$ being the Debye length, $2L$ the electrode separation, and $D$ the ionic diffusivity. For thin electric double layers near concentric spherical and coaxial cylindrical electrodes, I show here that equivalent circuit models again predict the correct ionic relaxation timescales. Importantly, these timescales explicitly depend on both electrode radii, not simply on their difference.

arXiv comment6 pages, 4 figures

References in corpus (7)

• Diffuse-Charge Dynamics in Electrochemical Systems
• Nonlinear Dynamics of Capacitive Charging and Desalination by Porous Electrodes
• Transient dynamics of electric double-layer capacitors: Exact expressions within the Debye-Falkenhagen approximation
• Lattice Boltzmann Electrokinetics simulation of nanocapacitors
• Transient response of an electrolyte to a thermal quench
• Electrolyte solutions at curved electrodes. II. Microscopic approach
• Electrolyte solutions at curved electrodes. I. Mesoscopic approach

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• Poisson-Nernst-Planck charging dynamics of an electric double layer capacitor: symmetric and asymmetric binary electrolytes
• Ionically charged topological defects in nematic fluids