Effective Radius of a Discrete Moving Polymer
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908472684052480 |
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| author | Chen, Jiaming |
| author_facet | Chen, Jiaming |
| contents | We present a discrete space-time stochastic partial differential equation (SPDE) model to describe the dynamics of a weakly self-avoiding polymer with intrinsic length $J$. By introducing a penalty factor tailored to the discrete setting, we establish that the polymer's root mean squared radius scales linearly with $J$. This scaling behavior differs from the law derived by Mueller and Neuman \cite{mueller2022scaling} in the continuous framework, highlighting both the distinct nature of the discrete model and its analytical tractability for studying polymer behavior in lattice-like environments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22248 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective Radius of a Discrete Moving Polymer Chen, Jiaming Probability Primary, 60H15, Secondary, 82D60 We present a discrete space-time stochastic partial differential equation (SPDE) model to describe the dynamics of a weakly self-avoiding polymer with intrinsic length $J$. By introducing a penalty factor tailored to the discrete setting, we establish that the polymer's root mean squared radius scales linearly with $J$. This scaling behavior differs from the law derived by Mueller and Neuman \cite{mueller2022scaling} in the continuous framework, highlighting both the distinct nature of the discrete model and its analytical tractability for studying polymer behavior in lattice-like environments. |
| title | Effective Radius of a Discrete Moving Polymer |
| topic | Probability Primary, 60H15, Secondary, 82D60 |
| url | https://arxiv.org/abs/2507.22248 |