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Published on: October 25, 2017
Relaxation dynamics of a polymer network modeled by a multihierarchical structure
1Faculty of Physics, Simulation Laboratory of Nanostructured Systems, Universitatea Babes-Bolyai, Str Mihail Kogalniceanu, nr 1, RO-400084 Cluj-Napoca, Romania. aurel.jurjiu@phys.ubbcluj.ro
Summary
This study numerically analyzes polymer network dynamics using generalized Gaussian structures. We found that multihierarchical polymer networks exhibit distinct scaling behaviors reflecting their mixed topologies.
Area of Science:
- Polymer Physics
- Statistical Mechanics
- Materials Science
Background:
- Polymer networks exhibit complex dynamical relaxation behaviors.
- Understanding these dynamics is crucial for material properties and applications.
- Fractal and multihierarchical structures offer models for complex polymer networks.
Purpose of the Study:
- To numerically analyze the dynamical relaxation of polymer networks modeled as finite multihierarchical structures.
- To investigate the scaling behavior of mechanical relaxation quantities and monomer displacement.
- To generalize existing analyses of fractal structures to multihierarchical systems.
Main Methods:
- Utilizing generalized Gaussian structures and the eigenvalue spectrum of the connectivity matrix.
- Calculating averaged monomer displacement under external forces.
- Determining mechanical relaxation quantities like storage and loss moduli.
- Employing an algebraic procedure to analyze large lattice structures.
Main Results:
- The study reveals distinct scaling behaviors for polymer networks with multihierarchical structures.
- Dynamical observables provide insights into the two different underlying topologies within these networks.
- Analysis of large lattices shows two different scaling slopes in the intermediate time/frequency domain.
Conclusions:
- Multihierarchical polymer networks display unique scaling properties related to their mixed growth.
- The eigenvalue spectrum of the connectivity matrix is key to understanding network dynamics.
- This work extends fractal analysis to more complex multihierarchical polymer systems.
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