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Updated: Aug 16, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Differential approach to the study of integral characteristics in polymer films
P Smertenko1, L Fenenko, L Brehmer
1Department of Optoelectronics, V. Lashkaryov Institute of Semiconductor Physics, NASU 45, prospekt Nauki, 03028, Kyiv, Ukraine. smertenko@isp.kiev.ua
Abstract:
The differential approach is based on the determination of dimensionless differential slope, for instance, of current-voltage characteristics (IVC), I=f(V). This slope (alpha) is given by formula alpha=d(lgI)/d(lgV). With such definition the ranges of constancy of the alpha(V) dependency correspond to the part of IVC characterized by the power behaviour (I approximately V(alpha)). The differential slope of alpha(V) dependency gamma=d(lgalpha)/dlgV determines the exponent behaviour of curve (I approximately exp(eV(gamma)/kT)). Processing by the differential approach of the investigated theoretical or experimental characteristics permits us to determine the peculiarity of charge flow mechanisms, temperature behaviour of conductivity, etc. The theoretical base and some applications of differential approach to the investigation of the current-voltage, temperature and degradation characteristics of the polyaniline and poly(p-phenilenevinilene) based structures have been shown.
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