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| DOI | 10.1126/science.aaz0135 |
| Topological mechanics of knots and tangles | |
| Patil V.P.; Sandt J.D.; Kolle M.; Dunkel J. | |
| 发表日期 | 2020 |
| ISSN | 0036-8075 |
| 起始页码 | 71 |
| 结束页码 | 75 |
| 卷号 | 367期号:6473 |
| 英文摘要 | Knots play a fundamental role in the dynamics of biological and physical systems, from DNA to turbulent plasmas, as well as in climbing, weaving, sailing, and surgery. Despite having been studied for centuries, the subtle interplay between topology and mechanics in elastic knots remains poorly understood. Here, we combined optomechanical experiments with theory and simulations to analyze knotted fibers that change their color under mechanical deformations. Exploiting an analogy with long-range ferromagnetic spin systems, we identified simple topological counting rules to predict the relative mechanical stability of knots and tangles, in agreement with simulations and experiments for commonly used climbing and sailing bends. Our results highlight the importance of twist and writhe in unknotting processes, providing guidance for the control of systems with complex entanglements. © 2020 American Association for the Advancement of Science. All rights reserved. |
| 关键词 | biomechanicsDNAexperimental studytopologyarticleclimbingcontrol systemmechanicssimulation |
| 语种 | 英语 |
| 来源机构 | Science |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/133819 |
| 推荐引用方式 GB/T 7714 | Patil V.P.,Sandt J.D.,Kolle M.,et al. Topological mechanics of knots and tangles[J]. Science,2020,367(6473). |
| APA | Patil V.P.,Sandt J.D.,Kolle M.,&Dunkel J..(2020).Topological mechanics of knots and tangles.,367(6473). |
| MLA | Patil V.P.,et al."Topological mechanics of knots and tangles".367.6473(2020). |
| 条目包含的文件 | 条目无相关文件。 | |||||
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