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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.12359 |
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| _version_ | 1866908492734922752 |
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| author | Zhang, Xu-Ze Shi, Rui Fang, Ming-Ji Lu, Zhong-Yuan Qian, Hu-Jun |
| author_facet | Zhang, Xu-Ze Shi, Rui Fang, Ming-Ji Lu, Zhong-Yuan Qian, Hu-Jun |
| contents | We identify topological dissipation -- momentum transport along the polymer backbone with Ising-type exponential decay ($\sim \exp(-Δn/n_\text{d})$) -- as the missing link connecting atomistic and mesoscale dynamics. Simulations of four polymers reveal that dynamical correlation length $n_\text{d} \approx n_\text{k}/3$ (Kuhn length $n_\text{k}$), enabling a coarse-grained framework that \emph{explicitly separates} topological (intrachain) and spatial (interchain) dissipation channels without temporal memory kernels. The approach quantitatively reproduces dynamics from segmental relaxation to chain diffusion, solving the long-standing memory preservation challenge in Markovian coarse-graining. Our results establish topology-mediated dissipation as a key mechanism for polymer dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12359 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Dissipation as the Missing Link in Multiscale Polymer Dynamics Zhang, Xu-Ze Shi, Rui Fang, Ming-Ji Lu, Zhong-Yuan Qian, Hu-Jun Soft Condensed Matter We identify topological dissipation -- momentum transport along the polymer backbone with Ising-type exponential decay ($\sim \exp(-Δn/n_\text{d})$) -- as the missing link connecting atomistic and mesoscale dynamics. Simulations of four polymers reveal that dynamical correlation length $n_\text{d} \approx n_\text{k}/3$ (Kuhn length $n_\text{k}$), enabling a coarse-grained framework that \emph{explicitly separates} topological (intrachain) and spatial (interchain) dissipation channels without temporal memory kernels. The approach quantitatively reproduces dynamics from segmental relaxation to chain diffusion, solving the long-standing memory preservation challenge in Markovian coarse-graining. Our results establish topology-mediated dissipation as a key mechanism for polymer dynamics. |
| title | Topological Dissipation as the Missing Link in Multiscale Polymer Dynamics |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2508.12359 |