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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2505.12164 |
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| _version_ | 1866915291768815616 |
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| author | Wang, Hanyang Slater, Gary W. |
| author_facet | Wang, Hanyang Slater, Gary W. |
| contents | We use Langevin dynamics (LD) simulations to investigate single-file diffusion (SFD) in a dilute solution of flexible linear polymers inside a narrow tube with periodic boundary conditions (a torus). The transition from SFD, where the time (t) dependence of the mean-square displacement scales like $\langle x^2\rangle \sim t^{1/2}$, to normal diffusion with $\langle x^2 \rangle \sim t$, is studied as a function of the system parameters, such as the size and concentration of the polymer chains and the width of the tube. We propose a phase diagram describing different diffusion regimes. In particular, we highlight the fact that there are two different pathways to normal long-time diffusion. We also map this problem onto a one-dimensional Lattice Monte Carlo model where the diffusing object represents the polymer center of mass. Possible extensions of this work to polydisperse polymer solutions, one-dimensional electrophoresis and DNA mapping are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12164 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polymer (imperfect) single-file diffusion: A phase diagram Wang, Hanyang Slater, Gary W. Soft Condensed Matter Biological Physics We use Langevin dynamics (LD) simulations to investigate single-file diffusion (SFD) in a dilute solution of flexible linear polymers inside a narrow tube with periodic boundary conditions (a torus). The transition from SFD, where the time (t) dependence of the mean-square displacement scales like $\langle x^2\rangle \sim t^{1/2}$, to normal diffusion with $\langle x^2 \rangle \sim t$, is studied as a function of the system parameters, such as the size and concentration of the polymer chains and the width of the tube. We propose a phase diagram describing different diffusion regimes. In particular, we highlight the fact that there are two different pathways to normal long-time diffusion. We also map this problem onto a one-dimensional Lattice Monte Carlo model where the diffusing object represents the polymer center of mass. Possible extensions of this work to polydisperse polymer solutions, one-dimensional electrophoresis and DNA mapping are discussed. |
| title | Polymer (imperfect) single-file diffusion: A phase diagram |
| topic | Soft Condensed Matter Biological Physics |
| url | https://arxiv.org/abs/2505.12164 |