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Topological Entanglement and Its Relation to Polymer Material Properties

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Knots, Low-Dimensional Topology and Applications (KNOTS16 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 284))

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Abstract

In this manuscript we review recent results that show how measures of topological entanglement can be used to provide information relevant to dynamics and mechanics of polymers. We use Molecular Dynamics simulations of coarse-grained models of polymer melts and solutions of linear chains in different settings. We apply the writhe to give estimates of the entanglement length and to study the disentanglement of polymer melts in an elongational flow. Our results also show that our topological measures correlate with viscoelastic properties of the material.

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Author information

Authors and Affiliations

  1. Department of Mathematics and SimCenter, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USA

    Eleni Panagiotou

Authors
  1. Eleni Panagiotou
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Correspondence to Eleni Panagiotou .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Williams College, Williamstown, MA, USA

    Colin C. Adams

  2. Department of Mathematics, University of Texas at Austin, Austin, TX, USA

    Cameron McA. Gordon

  3. Department of Mathematics, Vanderbilt University, Nashville, TN, USA

    Vaughan F.R. Jones

  4. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL, USA

    Louis H. Kauffman

  5. School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece

    Sofia Lambropoulou

  6. Department of Mathematics, University of California, Santa Barbara, Santa Barbara, CA, USA

    Kenneth C. Millett

  7. Department of Mathematics, Columbian College of Arts & Sciences, George Washington University, Washington, DC, USA

    Jozef H. Przytycki

  8. Department of Mathematics and Applications, University of Milano-Bicocca, Milano, Italy

    Renzo Ricca

  9. Department of Mathematics, North Carolina State University, Raleigh, NC, USA

    Radmila Sazdanovic

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Panagiotou, E. (2019). Topological Entanglement and Its Relation to Polymer Material Properties. In: Adams, C., et al. Knots, Low-Dimensional Topology and Applications. KNOTS16 2016. Springer Proceedings in Mathematics & Statistics, vol 284. Springer, Cham. https://doi.org/10.1007/978-3-030-16031-9_21

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