Relaxation Functions Interpolating the Cole–Cole and Kohlrausch–Williams–Watts Dielectric Relaxation Models

Autor:	Li, Lingjie Duan, Junsheng Duan, Ming
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	dielectric material non-Debye relaxation relaxation function Cole–Cole relaxation dielectric permittivity Mittag–Leffler function
Zdroj:	Symmetry; Volume 15; Issue 6; Pages: 1281
ISSN:	2073-8994
DOI:	10.3390/sym15061281
Popis:	To describe non-Debye relaxation phenomena observed in dielectric materials, the Cole–Cole (CC) relaxation model in the frequency domain and the Kohlrausch–Williams–Watts (KWW) relaxation model in the time domain were introduced in the physics of dielectrics. In this paper, we propose a new relaxation model with two parameters besides a relaxation time by expressing the relaxation function in the time domain in terms of the Mittag–Leffler functions. The proposed model represents a group of non-Debye relaxation phenomena and shows a transition between the CC and the KWW models. The relaxation properties described by the new model are analyzed, including the response function, the normalized complex dielectric permittivity, dielectric storage and loss factors as well as the relaxation frequency and time spectral functions. The presented relaxation function has a concise form and is expected to be applied to more complex relaxation phenomena.
Databáze:	OpenAIRE
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