dorsal/arxiv
View SchemaQuasi-quantization of writhe in ideal knots
| Authors | P. Pieranski, S. Przybyl |
|---|---|
| Categories | |
| ArXiv ID | physics/0102067 |
| URL | https://arxiv.org/abs/physics/0102067 |
| DOI | 10.1007/s101890170011 |
| Journal | Eur. Phys. J. E 6, 117 (2001) |
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.
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"abstract": "The values of writhe of the most tight conformations, found by the SONO\nalgorithm, of all alternating prime knots with up to 10 crossings are analysed.\nThe distribution of the writhe values is shown to be concentrated around the\nequally spaced levels. As predicted by Cerf and Stasiak the writhe quantum is\nshown to be close to the rational 4/7 value. The deviation of the writhe values\nfrom the n*(4/7) writhe levels scheme is analysed quantitatively. Consequences\nof the writhe quantization phenomenon are discussed.",
"arxiv_id": "physics/0102067",
"authors": [
"P. Pieranski",
"S. Przybyl"
],
"categories": [
"physics.bio-ph",
"physics.comp-ph"
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"doi": "10.1007/s101890170011",
"journal_ref": "Eur. Phys. J. E 6, 117 (2001)",
"title": "Quasi-quantization of writhe in ideal knots",
"url": "https://arxiv.org/abs/physics/0102067"
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