Fluxes in a Mixed Proton and Electron Conductor

By assuming that the transport number for oxygen ions is zero (cf. Eq. (1.32)), the only flux of hydrogen remaining is that of ambipolar transport of protons and electrons  

This is a good point at which to look a little closer at the ambipolar transport term that we have mentioned eartier in passing. The materials property of interest here is the protonic-electronic ambipolar conductivity term, which can be written in 

If protons are minority defects, then their concentration and the proton conductivity are proportional to p (, and we obtain  

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