Configurational entropy of randomly double-folding ring polymers
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915820866633728 |
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| author | van der Hoek, Pieter H. W. Rosa, Angelo Ghobadpour, Elham Everaers, Ralf |
| author_facet | van der Hoek, Pieter H. W. Rosa, Angelo Ghobadpour, Elham Everaers, Ralf |
| contents | Topologically constrained genome-like polymers often double-fold into tree-like configurations. Here we calculate the exact number of tightly double-folded configurations available to a ring polymer in ideal conditions. For this purpose, we introduce a scheme which allows us to define a ``code'' specifying how a ring wraps a randomly branching tree and calculate the number of admissible wrapping codes via a variant of Bertrand's ballot theorem. As a validation, we demonstrate that data from Monte Carlo simulations of an elastic lattice model of non-interacting tightly double-folded rings with controlled branching activity are in excellent agreement with exact expressions for branch-node and tree size statistics that can be derived from our expression for the ring entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18070 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Configurational entropy of randomly double-folding ring polymers van der Hoek, Pieter H. W. Rosa, Angelo Ghobadpour, Elham Everaers, Ralf Soft Condensed Matter Statistical Mechanics Topologically constrained genome-like polymers often double-fold into tree-like configurations. Here we calculate the exact number of tightly double-folded configurations available to a ring polymer in ideal conditions. For this purpose, we introduce a scheme which allows us to define a ``code'' specifying how a ring wraps a randomly branching tree and calculate the number of admissible wrapping codes via a variant of Bertrand's ballot theorem. As a validation, we demonstrate that data from Monte Carlo simulations of an elastic lattice model of non-interacting tightly double-folded rings with controlled branching activity are in excellent agreement with exact expressions for branch-node and tree size statistics that can be derived from our expression for the ring entropy. |
| title | Configurational entropy of randomly double-folding ring polymers |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2512.18070 |