Mode-coupling theory and polynomial fitting functions: A complex-plane representation of dielectric data on polymers

被引:6
作者
Eliasson, H [1 ]
机构
[1] Univ Gothenburg, Dept Expt Phys Phys & Engn Phys, SE-41296 Gothenburg, Sweden
[2] Chalmers Univ Technol, SE-41296 Gothenburg, Sweden
来源
PHYSICAL REVIEW E | 2001年 / 64卷 / 01期
关键词
D O I
10.1103/PhysRevE.64.011802
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Recently, it has been shown that the higher-order A(3) and A(4) scenarios of the mode-coupling theory (MCT) are in many cases capable of providing a good description of the complicated dielectric spectra often encountered in polymeric systems. In this paper, more data from dielectric measurements on poly(ethylene terephthalate), poly(vinylidene fluoride), Nylon-66, poly(chlorotrifluoroethylene) (PCTFE), and the polymer gel system poly(acrylonitrile)-ethylene carbonate-propylene carbonate are evaluated within the A, scenario of the MCT. For all these systems, very good agreement is found between the theoretical and experimental spectra. The data analysis is demonstrated to be facilitated considerably by plotting the data in the complex plane whereby the elliptic functions derived from the theory for the frequency-dependent dielectric function can be replaced by polynomials. For PCTFE, the scaling behavior predicted by the MCT could be verified and the temperature dependences of the extracted scaling parameters were found to be consistent with theory.
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页数:10
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