Infinite pinning
Analysis of PDEs
2020-07-16 v1
Abstract
In this work, we address the occurrence of infinite pinning in a random medium. We suppose that an initially flat interface starts to move through the medium due to some constant driving force. The medium is assumed to contain random obstacles. We model their positions by a Poisson point process and their strengths are not bounded. We determine a necessary condition on its distribution so that regardless of the driving force the interface gets pinned.
Keywords
Cite
@article{arxiv.2007.07605,
title = {Infinite pinning},
author = {Patrick Dondl and Martin Jesenko and Michael Scheutzow},
journal= {arXiv preprint arXiv:2007.07605},
year = {2020}
}
Comments
12 pages, 4 figures