Equipartition principle in an electrochemical cell with a specified duty

Example 5.12 Equipartition principle in an electrochemical cell with a specified duty We desire the electrode to transfer a specified amount of electricity Q over a finite time t0 

As before, minimizing the power dissipated for a specified Q implies that I = constant. The deviation from this optimal configuration is similar to Eq. (5.106) 

The above equation shows that the steady state is less dissipative for a specified duty in a finite time. This conclusion is in line with the minimum entropy production principle of Prigogine. 

If we have multiple working electrodes or the electrode is divided into N different zones, which may work at different potentials, the overall specified duty becomes 

the discrete summation is over the N zones. The average 7av is defined over time and number of zones. Repeating the previous procedure and using P0 as the entropy production corresponding to 7av at all times and in all zones (equipartition configuration), we have 

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Example 4.10 Equipartition principle in an electrochemical cell with a specified duty... 

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