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Entropic competition between knots and slip-links

Roya Zandi·Yacov Kantor·Mehran Kardar
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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 type, in which case we are limited by strong finite--size effects.

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Roya Zandi, Yacov Kantor, Mehran Kardar. 2003-06-23. Entropic competition between knots and slip-links. https://arxiv.org/abs/cond-mat/0306587

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