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Relaxation dynamics of small-world degree-distributed treelike polymer networks

Author

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  • Galiceanu, Mircea
  • Oliveira, Edieliton S.
  • Dolgushev, Maxim

Abstract

Hyperbranched polymers are typically treelike macromolecules with a very disordered structure. Here we construct hyperbranched polymers based on the degree distribution of the small-world networks. This algorithm allows us to study a transition from monodisperse linear chains to structurally-disordered dendritic polymers by varying the parameter p (0≤p≤1), which measures the randomness and the degree of branching of the network. Employing the framework of generalized Gaussian structures, we determine for the obtained structures the relaxation spectra, which are exemplified on the mechanical relaxation moduli (storage and loss moduli). We monitor these physical quantities for networks of different sizes and for various values of the parameter p. In the intermediate frequency domain, we encounter macroscopically distinguishable behaviours.

Suggested Citation

  • Galiceanu, Mircea & Oliveira, Edieliton S. & Dolgushev, Maxim, 2016. "Relaxation dynamics of small-world degree-distributed treelike polymer networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 376-385.
    • Handle: RePEc:eee:phsmap:v:462:y:2016:i:c:p:376-385
    DOI: 10.1016/j.physa.2016.06.098
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    Cited by:

    1. Feng, Shumin & Xin, Mengwei & Lv, Tianling & Hu, Baoyu, 2019. "A novel evolving model of urban rail transit networks based on the local-world theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Alves Ribeiro, Marcus V. & Jurjiu, Aurel & Galiceanu, Mircea, 2022. "Dynamics of semiflexible generalized scale-free polymer networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

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