2012/06/04 by Chihiro Nakajima, Chihiro H. Nakajima, Nakajima, Chihiro H. +2
Engineering · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #FOS: Physical sciences #Force Microscopy Techniques and Applications #Soft Condensed Matter (cond-mat.soft) #Sports Dynamics and Biomechanics #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.1206.0632
7 pages, 6 figures, RSC style
arxiv created 2012/06/04 · openalex publication_date 2012/06/04 · arxiv updated 2012/06/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
We have examined the behaviors of a knotted linear polymer in narrow tubes using Langevin dynamics simulation to investigate the knot localization property in one-dimensional (1D) geometry. We have found that the knot is strongly localized in such a geometry. By observing the distribution function of the size of localized knot, we found the scaling behavior of the fluctuation around the most probable size with radius of confinement. Based on the analysis of the probability distribution of the knot size, we show that the strong localization behavior and the fluctuation around the most probable size can be encompassed by a simple argument based on the virtual tubes composed of parallel strands and overlapping among them.