A mathematical model for current oscillations at the active-passive transition in metal electrodissolution

Abstract

The classical model of Franck and FitzHugh for current oscillations at the active-passive transition in metal electrodissolution is reconsidered without making the assumption of a discontinuous change in the reaction kinetics at the Flade potential. A simple analytical calculation shows that this model cannot support sustained oscillatory behavior. A new model is presented which incorporates the role of the uncompensated ohmic cell resistance and the dissolving metal ions. The bifurcation structure of this model is studied numerically in some detail and regions of bistability, oscillations and complex (chaotic) behavior are identified. © 1993.