Vol. 53 No. 01 (2003): Volume 53 Number 01, May 2003
Articles

Entropic Competition between Knots and Slip-Links

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  • Roya Zandi,
  • Yacov Kantor,
  • Mehran Kardar
Roya Zandi
Department of Physics, Massachusetts Intitute of Technology, USA
Yacov Kantor
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Science, Telaviv University, Israel
Mehran Kardar
Department of Physics, Massachusetts Intitute of Technology, USA

Published 05/01/2003

Keywords

  • Self-avoiding walks,
  • knots,
  • topological entanglement,
  • critical exponents,
  • polymers,
  • rings
    • ...More
    Less

How to Cite

Zandi, Roya, Yacov Kantor, and Mehran Kardar. 2003. “Entropic Competition Between Knots and Slip-Links”. ITU ARI Bulletin of Istanbul Technical University 53 (01):6-15. https://ari.itu.edu.tr/index.php/ituari/article/view/15.

Copyright (c) 2003 ITU Press

Creative Commons License

This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

Abstract

Using canonical Monte Carlo simulations, we introduce a new numerical procedure for comparing the entropic exponents of polymers with different constraints and/or topologies. Setting up competitions between polymer segments which can exchange monomers according to their free energies, we obtain the universal exponents of partition functions, independently of any knowledge of the non-universal part. The method is successfully tested for closed polymer loops decorated with sliding rings. We also investigate the entropic exponents of loops with a fixed knot tvne. in which rase we are limited by strnms finite-site effects.
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