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arXiv 2301.05024physics.chem-phcond-mat.mtrl-sci
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电化学阻抗谱中的电感回线理论

A theory of inductive loops in electrochemical impedance spectroscopy

Yury Grabovsky, Jacob Guynee

摘要:

我们证明,故障的时间不变性假设的等效电路的电化学系统的建模可能会导致形成低频的“电感回路”,表现为正虚部的阻抗函数。假设的等效电路的属性随时间缓慢变化,我们进行渐近分析,并获得一个新的积分表示的阻抗函数,减少到标准的一个在高频率,而在低频率表现出电感回路。

英文摘要:

We demonstrate that failure of time-invariance assumption in the modeling of electrochemical systems by equivalent circuits can lead to the formation of low frequency "inductive loops" that manifest themselves as positive imaginary parts of the impedance function. Assuming that the properties of the equivalent circuits change slowly in time we perform an asymptotic analysis and obtain a new integral representation of the impedance function that reduces to the standard one at high frequencies, while exhibiting inductive loops at low frequencies.

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