Effective Radius of a Discrete Moving Polymer
Probability
2025-07-31 v1
Abstract
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 . By introducing a penalty factor tailored to the discrete setting, we establish that the polymer's root mean squared radius scales linearly with . 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.
Cite
@article{arxiv.2507.22248,
title = {Effective Radius of a Discrete Moving Polymer},
author = {Jiaming Chen},
journal= {arXiv preprint arXiv:2507.22248},
year = {2025}
}