Trapping in dendrimers and regular hyperbranched polymers.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number044903
Journal / PublicationJournal of Chemical Physics
Volume137
Issue number4
Publication statusPublished - 28 Jul 2012

Abstract

Dendrimers and regular hyperbranched polymers are two classic families of macromolecules, which can be modeled by Cayley trees and Vicsek fractals, respectively. In this paper, we study the trapping problem in Cayley trees and Vicsek fractals with different underlying geometries, focusing on a particular case with a perfect trap located at the central node. For both networks, we derive the exact analytic formulas in terms of the network size for the average trapping time (ATT)-the average of node-to-trap mean first-passage time over the whole networks. The obtained closed-form solutions show that for both Cayley trees and Vicsek fractals, the ATT display quite different scalings with various system sizes, which implies that the underlying structure plays a key role on the efficiency of trapping in polymer networks. Moreover, the dissimilar scalings of ATT may allow to differentiate readily between dendrimers and hyperbranched polymers.

Research Area(s)

  • RANDOM-WALKS, STARBURST DENDRIMERS, COMPLEX NETWORKS, DYNAMICS, MODELS, TRANSPORT, FRACTALS, ANTENNAE, GRAPHS, TREES

Citation Format(s)

Trapping in dendrimers and regular hyperbranched polymers. / Wu, Bin; Lin, Yuan; Zhang, Zhongzhi et al.
In: Journal of Chemical Physics, Vol. 137, No. 4, 044903, 28.07.2012.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review