Polymer in a multi-interface medium with weak repulsion
Probability
2024-10-10 v3
Abstract
Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \cite{Caravenna2009depinning} when the temperature is constant. In this paper, we study an extension of this model by making the temperature and the distance between interfaces goes to infinity. We give a full phase diagram for this model, and show that a new behaviour appears in this extension. Our key tool include new sharp results on the simple random walk evolving between interfaces.
Cite
@article{arxiv.2310.02009,
title = {Polymer in a multi-interface medium with weak repulsion},
author = {Angot Elric},
journal= {arXiv preprint arXiv:2310.02009},
year = {2024}
}