The damped wave equation and associated polymer
Probability
2025-09-23 v2
Abstract
Considering the damped wave equation with a Gaussian noise where is white in time and has a covariance function depending on spatial variables, we will see that this equation has a mild solution which is stationary in time . We define a weakly self-avoiding polymer with intrinsic length associated to this SPDE. Our main result is that the polymer has an effective radius of approximately .
Cite
@article{arxiv.2310.01631,
title = {The damped wave equation and associated polymer},
author = {Yuanyuan Pan},
journal= {arXiv preprint arXiv:2310.01631},
year = {2025}
}