Knots in polymers |
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| Authors: | Yacov Kantor |
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| Affiliation: | (1) School of Physics and Astronomy, Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel |
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| Abstract: | Knots and topological entanglements play an important role in the statistical mechanics of polymers. While topological entanglement is a global property, it is possible to study the size of a knotted region both numerically and analytically. It can be shown that long-range repulsive interactions, as well as entropy favor small knots in dilute systems. However, in dense systems and at the Θ-point in two dimensions the uncontracted knot configuration is the most likely. |
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| Keywords: | Polymer loops self-avoiding walks topology knots |
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