Current transport analysis time-dependent

Study of the charge-transfer processes (step 3 above), free of the effects of mass transport, is possible by the use of transient techniques. In the transient techniques the interface at equilibrium is changed from an equilibrium state to a steady state characterized by a new potential difference A(/>. Analysis of the time dependence of this transition is the basis of transient electrochemical techniques. We will discuss galvanostatic and potentiostatic transient techniques for other techniques [e.g., alternating current (ac)], the reader is referred to Refs. 50 to 55. 

Thus, the thermokinetic models employ differential equations of material and heat balances when electric current passes through the system. We have just considered the model where the heat equilibrium is fast achieved and the rate of the transient process related to the mass transport is rather slow. This allowed us to simplify the mathematic problem and to extend the analysis as far as to obtain the bifurcation diagram and estimate the time dependence of the variables. 

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