Numerical simulation method for identification of experimental results according to frequency dispersion of dielectric permittivity by Gavrylyak-Negami

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Koposov, G.D.^1 ; Volkov, A.S.^1 ; Tyagunin, A.V.^1 ; Perfiliev, R.O.^1

Northern (Arctic) Federal University Named after M.V. Lomonosov, Russia^1

关键词: Basic equations;    Dielectric permittivities;    Dispersion modeling;    Frequency dispersion;    Numerical simulation method;    Polynomial representations;    Rapid method;    Relaxation mechanism;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/263/1/012059/pdf
DOI  :  10.1088/1755-1315/263/1/012059

来源: IOP

【 摘 要 】

One of the problems physics of dielectrics which has not yet been completely solved the determination of the form of the frequency dispersion of the dielectric constant. For relaxation mechanisms of polarization of dielectrics, there are many mathematical models. In practice, when analyzing experimental results, parameters are selected that correlate the results obtained with the proposed models. The goal of this paper is to search for basic equations to create a rapid method for identifying experimental results with the Gavrilyak-Negami model. The paper analyzes the influence of the parameters α and β in the dispersion model of Gavrilyak-Negami for relaxation dielectric permittivity by the method of numerical simulation. The tangents of the slope angle lg e"rel are analyzed as functions of log ω at ω1/τ, and resolving formulas for α and β are obtained on the basis of these relationships. The relaxation time is found from the condition of independence from α and β on the basis of the analysis of the function "rel/('-∞). The values of S and ∞ are found on the basis of the polynomial representation of the Argand (Cole-Cole) diagrams.