About this article
Published Online: Dec 31, 2020
Page range: 101 - 105
Received: Dec 07, 2020
DOI: https://doi.org/10.2478/joeb-2020-0015
Keywords
© 2020 Sverre Holm, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
The Cole-Cole model for a dielectric is a generalization of the Debye relaxation model. The most familiar form is in the frequency domain and this manifests itself in a frequency dependent impedance. Dielectrics may also be characterized in the time domain by means of the current and charge responses to a voltage step, called response and relaxation functions respectively. For the Debye model they are both exponentials while in the Cole-Cole model they are expressed by a generalization of the exponential, the Mittag-Leffler function. Its asymptotes are just as interesting and correspond to the Curie-von Schweidler current response which is known from real-life capacitors and the Kohlrausch stretched exponential charge response.