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arXiv · 1404.0707

The entropic pressure of lattice knots

EJ Janse van Rensburg
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Abstract

The entropic pressure in the vicinity of a cubic lattice knot is examined as a model of the entropic pressure near a knotted ring polymer in a good solvent. A model for the scaling of the pressure is developed and this is tested numerically by sampling lattice knots using a Monte Carlo algorithm. Good agreement is found between scaling predictions and numerical experiments.

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EJ Janse van Rensburg. 2014-04-29. The entropic pressure of lattice knots. https://doi.org/10.1088/1742-5468%2F2014%2F06%2Fp06017

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