Morphological instability during steady electrodeposition at overlimiting currents

Abstract

We present a linear stability analysis of a planar metal electrode during steady electrodeposition. We extend the previous work of Sundstrom and Bark by accounting for the extended space-charge density, which develops at the cathode once the applied voltage exceeds a few thermal voltages. In accordance with Chazalviel's conjecture, the extended space-charge region is found to greatly affect the morphological stability of the electrode. To supplement the numerical solution of the stability problem, we have derived analytical expressions valid in limit of low and high voltage, respectively.

10 pages, 6 eps figures, Revtex 4-1

References in corpus (4)

• Theory of Chemical Kinetics and Charge Transfer based on Nonequilibrium Thermodynamics
• Over-limiting Current and Control of Dendritic Growth by Surface Conduction in Nanopores
• Concentration polarization, surface currents, and bulk advection in a microchannel
• Transport-limited water splitting at ion-selective interfaces during concentration polarization

Cited by in corpus (5)

• Linear stability analysis of transient electrodeposition in charged porous media: suppression of dendritic growth by surface conduction
• Finite Pulse Waves for Efficient Suppression of Evolving Mesoscale Dendrites in Rechargeable Batteries
• Transient electrohydrodynamic flow with concentration dependent fluid properties: modelling and energy-stable numerical schemes
• Convexification of Charge Equilibrium within the Dendrites of Rechargeable Batteries
• Control of Dendrites in Rechargeable Batteries using Smart Charging