Distribution of relaxation times in $\alpha$-phase polyvinylidene fluoride

Abstract

In this paper, a recently developed numerical method to analyze dielectric-spectroscopy data is applied to $\alpha$-phase polyvinylidene fluoride (PVDF). The numerical procedure is non-parametric and does not contain any of the extensively used empirical formulas mentioned in the literature. The method basically recovers the unknown distribution of relaxation times of the generalized dielectric function representation by simultaneous application of the Monte Carlo integration method and of the constrained least-squares optimization. The relaxation map constructed after the numerical analysis is compared to $\alpha$-phase PVDF data presented in the literature and results of the parametric analysis with a well-known empirical formula.

4 figures, 1 table

References in corpus (4)

• Comparison of methods for estimating continuous distributions of relaxation times
• Extracting spectral density function of a binary composite without a-priori assumption
• Signs of low frequency dispersions in disordered binary dielectric mixtures (50-50)
• Resolving distribution of relaxation times in Poly(propylene glycol) on the crossover region

Cited by in corpus (2)

• Comparison of methods for estimating continuous distributions of relaxation times
• Origin of temperature dependent conductivity of $\alpha$-polyvinylidene fluoride