Knots as a Topological Order Parameter for Semiflexible Polymers

Martin Marenz and Wolfhard Janke
Phys. Rev. Lett. 116, 128301 – Published 21 March 2016
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Abstract

Using a combination of the multicanonical Monte Carlo algorithm and the replica-exchange method, we investigate the influence of bending stiffness on the conformational phases of a bead-stick homopolymer model and present the pseudophase diagram for the complete range of semiflexible polymers, from flexible to stiff. Although it is a simple model, we observe a rich variety of conformational phases, reminiscent of conformations observed for synthetic polymers or biopolymers. Depending on the bending stiffness, the model exhibits different pseudophases like bent, hairpin, or toroidal. In particular, we find thermodynamically stable knots and unusual transitions into these knotted phases with a clear phase coexistence, but almost constant mean total energy, and hence almost no latent heat.

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  • Received 29 May 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.128301

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

Martin Marenz* and Wolfhard Janke

  • Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany

  • *martin.marenz@itp.uni-leipzig.de
  • wolfhard.janke@itp.uni-leipzig.de

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Issue

Vol. 116, Iss. 12 — 25 March 2016

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