Simulation of the Molecular Dynamics of Rod-Like Molecules in Semidiluted Solution: A Dielectric Relaxation Study

Molecular Crystals and Liquid Crystals Incorporating Nonlinear Optics (1990)

Citation

Reference

Related Paper

Abstract:

The dielectric relaxation of a model solution of polydisperse rods is studied numerically, using a modified Doi-Edwards model. A new model of the dielectric relaxation in the biphasic range of concentration is proposed.

Keywords:

Cole–Cole equation

Rod

Dynamics

Topics:

Material Dynamics and Properties

Surfactants and Colloidal Systems

Photochemistry and Electron Transfer Studies

10.1080/00268949008035617

Cite

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

Symmetry (2023)

Lingjie Duan Jun‐Sheng Duan Ming Li

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.

Cole–Cole equation

Debye

Debye function

10.3390/sym15061281

Cite

Citations (1)

Cole-Davidson dielectric relaxation as a self-similar relaxation process

Physics of the Solid State (1997)

Raoul R. Nigmatullin Ya. E. Ryabov

Cole–Cole equation

Solid-state physics

10.1134/1.1129804

Cite

Citations (115)

Dielectric relaxation in glasses: possible origin of the stretched relaxation behaviour

Chemical Physics Letters (2004)

Sundeep Kumar K. J. Rao

Cole–Cole equation

Debye

Dielectric function

10.1016/j.cplett.2004.01.102

Cite

Citations (9)

A model for non-debye relaxation in ionically conducting glasses

Materials Science and Engineering B (1989)

Stephen R. Elliott

Debye

Cole–Cole equation

Debye–Hückel equation

Debye model

Debye function

10.1016/0921-5107(89)90180-3

Cite

Citations (17)

Dielectric relaxation study of AgTISe₂in the solid and liquid states

Physics and Chemistry of Liquids (1982)

A. H. Abou Ela N. Abdelmohsen

Abstract Measurements of the dielectric properties of AgTISe2 in the solid and liquid states were carried out in a wide range of frequencies (10−2 to 106 Hz) at different temperatures (150°C to 600°C). The material displayed dielectric dispersion and two loss peaks were observed. The curves: log ε' vs. temperature and tan δ, ε' vs. frequency gave a direct evidence of the existence of a Debyetype relaxation having a wide distribution of relaxation times. Cole-Cole diagrams have been used to determine the distribution parameter (α) and the molecular relaxation time (τ), and Eyring's relaxation rate equations have been used to determine the free energy of activation.

Cole–Cole equation

Atmospheric temperature range

Dielectric loss

10.1080/00319108208084538

Cite

Citations (0)

Determination of the distribution function of the dielectric relaxation times of polymer materials

Polymer Mechanics (1977)

V. D. Shtraus

Cole–Cole equation

10.1007/bf00856470

Cite