✍ Scribed by Thorsten Koslowski; Aurel Jurjiu; Alexander Blumen
No coin nor oath required. For personal study only.
Summary: We study the impact of topological disorder on the mechanical response of hyperbranched macromolecules from a theoretical and numerical perspective. The polymer models are generated using a bond switching algorithm, and the emerging systems are described within the Zimm and Rouse pictures of macromolecular dynamics. The topological disorder is manifest in the frequency‐dependent dynamic moduli, $G^*(\omega)$. These are clearly distinct from that of regular hyperbranched fractals of the same size, and they do not obey simple scaling rules. The dynamic moduli reflect the short‐range order inherent in the model, and we thus suggest that the extent of disorder in branched tree‐like polymers may be well‐estimated experimentally using $G^*(\omega)$.
Model of an irregular hyperbranched polymer.
magnified imageModel of an irregular hyperbranched polymer.
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