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Semi-Analytical Calculation of the Rouse Dynamics of Randomly Branched Polymers

Josh P. Kemp·Zheng Yu Chen
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Abstract

We present a semi-analytical approach to the determination of the dynamic properties of randomly branched polymers under the Rouse approximation. The principle procedure is based on examining a spectrum of eigenvalues which represents the average dynamic behavior of various structures. The calculated spectra show that the eigenvalue distribution is random even within a single structure which in turn produces a continuous spectrum of values for the entire class. The auto-correlation functions for the radius of gyration squared were calculated based on these spectra, which confirms that the dynamics is non-exponential as earlier reported. A universal stretched exponent is also found in this study.

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BibTeXRIS

Josh P. Kemp, Zheng Yu Chen. 1998-10-08. Semi-Analytical Calculation of the Rouse Dynamics of Randomly Branched Polymers. https://doi.org/10.1103/physreve.60.2994

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