B Appendix 2—Electrochemical Polarization

This appendix refers to Ref situation is concerned and to interactions are to be included. 

For long times (t f/2) the sum can be approximated by the first term and for short times (i f/2) the following approximation may be used  

The boundary conditions for the depolarization are the same as in Appendix B.l, but = 0. The initial condition here is the final linear profile in Appendix B.l with ibeing the polarization current. The result for the concentration is 

With the initial condition c t = 0,x) = c , and the boundary conditions = 0 (for an electronic electrode), =0 for an ionic electrode or, dcVdt = 0 for a reversible electrode one obtains with the flux equations and the continuity equation the following as solution for the concentration profile  

This appendix refers to Ref.210 as far as the interaction-free situation is concerned and to Ref.3 if fast internal defect interactions are to be included. 

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