Search

In this paper, the approximate frequency-amplitude response of the fractal equation that describes the non-Gaussian polymer chains' motion is derived using a two-scale dimension transform and the ancient Chinese algorithm Ying Bu Zu Shu. Theoretical predictions show that the oscillation amplitude of the polymer chains varies since the response curves shift to the left ( α < 1 ) and to the right ( α > 1 ) from those curves plotted for a fractal parameter value α = 1 . This system response suggests that the magnitude of the molecular chain stretching is modified during motion due to the polymer fractal molecular structure, which indicates the mobility and flexibility of the polymer molecules that unveil possible molecular structure defects and intermolecular cohesion. [ABSTRACT FROM AUTHOR]