论文标题
电化学阻抗的时间折叠方法：位移电流
Time-Fractional Approach to the Electrochemical Impedance: The Displacement Current
论文作者
论文摘要
总的来说，我们建立了通过泊松 - 尼尔斯特·普朗克模型的时间分数方法公式来满足的条件，以确保按照麦克斯韦方程的要求，确保样品中的总电流是电磁阀。仅在这种情况下，细胞的电阻抗才能确定为电势差与整个电池电流之间的比率。我们表明，在异常扩散的情况下，该模型预测了细胞在低频区域中恒定相元素行为的电阻抗。在电抗性与电阻的参数曲线中，斜率与分数时间衍生物的顺序一致。
We establish, in general terms, the conditions to be satisfied by a time-fractional approach formulation of the Poisson-Nernst-Planck model in order to guarantee that the total current across the sample be solenoidal, as required by the Maxwell equation. Only in this case the electric impedance of a cell can be determined as the ratio between the applied difference of potential and the current across the cell. We show that in the case of anomalous diffusion, the model predicts for the electric impedance of the cell a constant phase element behaviour in the low frequency region. In the parametric curve of the reactance versus the resistance, the slope coincides with the order of the fractional time derivative.
