Polymer Knots in Thin Films: Thickness Dependence, Local Effects, and Stiffness
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| author | Schmitt, Maurice P. Meyer, Hendrik Virnau, Peter |
| author_facet | Schmitt, Maurice P. Meyer, Hendrik Virnau, Peter |
| contents | We study how confinement affects topology and conformations in polymer films of varying thickness $h$. The knotting probability exhibits a maximum at intermediate thicknesses near the bulk radius of gyration $h \approx R_\mathrm{g,bulk}$, vanishes at small $h$ and approaches bulk values for large $h$. Close to walls, the entanglement length increases monotonically and conformations become flatter. A layer-resolved analysis of structural and topological properties allows us to reconstruct the explicit thickness dependencies by integrating layer-resolved properties of a thick film. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02644 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Polymer Knots in Thin Films: Thickness Dependence, Local Effects, and Stiffness Schmitt, Maurice P. Meyer, Hendrik Virnau, Peter Soft Condensed Matter Statistical Mechanics Chemical Physics Computational Physics Data Analysis, Statistics and Probability We study how confinement affects topology and conformations in polymer films of varying thickness $h$. The knotting probability exhibits a maximum at intermediate thicknesses near the bulk radius of gyration $h \approx R_\mathrm{g,bulk}$, vanishes at small $h$ and approaches bulk values for large $h$. Close to walls, the entanglement length increases monotonically and conformations become flatter. A layer-resolved analysis of structural and topological properties allows us to reconstruct the explicit thickness dependencies by integrating layer-resolved properties of a thick film. |
| title | Polymer Knots in Thin Films: Thickness Dependence, Local Effects, and Stiffness |
| topic | Soft Condensed Matter Statistical Mechanics Chemical Physics Computational Physics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2605.02644 |