Semianalytical calculation of the Rouse dynamics of randomly branched polymers

We present a semianalytical approach to the determination of the dynamic pr operties of randomly branched polymers under the Rouse approximation: The p rincipal procedure is based on examining an eigenvalue spectrum which repre sents the average dynamic behavior of various structures. The calculated sp ectra show that the eigenvalue distribution is random even within a single structure, which in turn produces a continuous spectrum of values for the e ntire class. The autocorrelation function for the square of the radius of g yration was calculated based on these spectra, which confirms that the dyna mics are nonexponential as earlier reported. A universal stretched exponent is also found in this study. [S1063-651X(99)04208-7].