ArticlePolymers2019
Topological Methods for Polymeric Materials: Characterizing the Relationship Between Polymer Entanglement and Viscoelasticity.
Article in Polymers, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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14 citing papers in PubMed.
- A parallel algorithm for the computation of the Jones polynomial.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Topological data analysis and topological deep learning beyond persistent homology: a review.Artificial intelligence review · 2026Article
- Multi-scale Jones polynomial and persistent Jones polynomial for knot data analysis.AIMS mathematics · 2025Article
- Topology-Based Detection and Tracking of Deadlocks Reveal Aging of Active Ring Melts.ACS macro letters · 2024Article
- Persistent de Rham-Hodge Laplacians in Eulerian representation for manifold topological learning.AIMS mathematics · 2024Article
- Topological damping in an ultrafast giant cell.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Article
- Efficient compressed database of equilibrated configurations of ring-linear polymer blends for MD simulations.Scientific data · 2022Article
- Alkali Concentration and Diluent Effects on Properties of Grape Cane Fiber-Reinforced Polymer Composites.Polymers · 2021Article
- Liquid-liquid phase separation of Tau by self and complex coacervation.Protein science : a publication of the Protein Society · 2021Article
- Knot polynomials of open and closed curves.Proceedings. Mathematical, physical, and engineering sciences · 2020Article
- Article
- Developments in Polymer Theory and Simulation.Polymers · 2019Article
- Morphological Entanglement in Living Systems.Physical review. XArticle
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3 authors.
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Abstract
We develop topological methods for characterizing the relationship between polymer chain entanglement and bulk viscoelastic responses. We introduce generalized Linking Number and Writhe characteristics that are applicable to open linear chains. We investigate the rheology of polymeric chains entangled into weaves with varying topologies and levels of chain density. To investigate viscoelastic responses, we perform non-equilibrium molecular simulations over a range of frequencies using sheared Lees⁻Edwards boundary conditions. We show how our topological characteristics can be used to capture key features of the polymer entanglements related to the viscoelastic responses. We find there is a linear relation over a significant range of frequencies between the mean absolute Writhe W r and the Loss Tangent tan ( δ ) . We also find an approximate inverse linear relationship between the mean absolute Periodic Linking Number L K P and the Loss Tangent tan ( δ ) . Our results show some of the ways topological methods can be used to characterize chain entanglements to better understand the origins of mechanical responses in polymeric materials.
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