Quasi-quantization of writhe in ideal knots
P. Pieranski, S. Przybyl
Abstract
The values of writhe of the most tight conformations, found by the SONO algorithm, of all alternating prime knots with up to 10 crossings are analysed. The distribution of the writhe values is shown to be concentrated around the equally spaced levels. As predicted by Cerf and Stasiak the writhe quantum is shown to be close to the rational 4/7 value. The deviation of the writhe values from the n*(4/7) writhe levels scheme is analysed quantitatively. Consequences of the writhe quantization phenomenon are discussed.
Create a lesson
Related papers
Efficient Transport Networks through Edge Pruning by Relative Resistance
Mathieu Le Verge-Serandour, Viktor Vasilev, Lara Szeimies et al.
Boundary-contact repolarization provides a mechanism for directional guidance of neural crest cell collectives
Aditya Shankar Paspunurwar, Hector Gomez
Femtosecond Three-Dimensional Imaging of Single-Protein with Hard X-ray Laser
Paul Lourdu Xavier, Andrew J. Morgan, Johan Bielecki et al.
Three-dimensional imaging of isolated membrane-protein complexes in vacuo with an X-ray laser
Kartik Ayyer, Tej Varma Yenupuri, Johan Bielecki et al.
Polarization of the Drosophila oocyte by active cortical exchange
Mohammadhossein Firouznia, Wen Lu, Margot Lakonishok et al.
Inverse-Designed Anisotropic Intrastromal Corneal Exoskeletons for Keratoconus: A Three-Dimensional Computational Feasibility Study
J. Sumaya-Martinez, Alan Altamirano