Analytical model for the dynamics of semiflexible dendritic polymers

作者：Fuerstenberg Florian; Dolgushev Maxim; Blumen Alexander

来源：Journal of Chemical Physics, 2012, 136(15): 154904.

DOI：10.1063/1.3703757

We study the dynamics of semiflexible dendritic polymers following the method of Dolgushev and Blumen [J. Chem. Phys. 131, 044905 (2009)]. The scheme allows to formulate in analytical form the corresponding Langevin equations. We determine the eigenvalues by first block-diagonalizing the problem, which allows to treat even very large dendritic objects. A basic ingredient of the procedure is the observation that a set of eigenmodes in the semiflexible case is similar to that chosen by Cai and Chen [Macromolecules 30, 5104 (1997)] for fully flexible dendritic structures. Varying the flexibility of the macromolecules allows us to better understand their mechanical loss moduli G %26apos;%26apos;(omega) based on their eigenvalue spectra. We present the G %26apos;%26apos;(omega) for a series of stiffness parameters and for different functionalities of the branching points.

• 出版日期2012-4-21