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Phase Field Modeling of Electrochemistry. II. Kinetics



Jonathan E. Guyer, William J. Boettinger, James A. Warren, Geoffrey B. McFadden


The kinetic behavior of the phase field model described in (J.E. Guyer, W.J. Boettinger, J.A. Warren and G. B. McFadden, Phase field modeling of electrochemistry: Equilibrium, unpublished) is explored for advancing (plating) and receding (corroding) conditions in one dimension. With a single set of governing equations, we demonstrate ohmic conduction in the electrode and ionic conduction in the electrolyte. We examine the relationship between the parameters of the phase field method with the physical parameters of electrochemistry. We find that, despite making simple, linear dynamic postulates, we obtain the nonlinear relatinship between current and overpotential predicted by the classical Butler-Volmer equation and observed in electrochemical experiments. The change distribution in the interfacial double layer is affected by the passage of current and, at sufficiently high currents, we find that the diffusion limited deposition of a more noble cation leads to alloy deposition with less noble species.
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
No. 2


double layer, electrochemistry, phase field


Guyer, J. , Boettinger, W. , Warren, J. and McFadden, G. (2004), Phase Field Modeling of Electrochemistry. II. Kinetics, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), [online], (Accessed April 24, 2024)
Created February 1, 2004, Updated June 2, 2021