May I ask how you extracted a value for Y from the EIS data? Surely that will give you a time constant associated with the particular electrochemical system dominating at that frequency, shown by a semicircular plot on your I/V plot. But there are problems, for you may find that the semicircle is not centred on the real axis, and this is caused by the system's electrochemistry deviating from the usual Fick's Law where the exponent is not integral. I suggest that this would mean that the capacitance you get will change with measuring frequency. In practice DSC are not well modelled using conventional circuit elements; you need constant phase elements and Warburg elements to achieve good fits. Consider referring to Bisquert et al of the University of Jaime Salinas for his work on anomalous diffusion in electrochemical systems.