Exponential clogging time for a one dimensional DLA
Probability
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
When considering DLA on a cylinder it is natural to ask how many particles it takes to clog the cylinder, e.g. modeling clogging of arteries. In this note we formulate a very simple DLA clogging model and establish an exponential lower bound on the number of particles arriving before clogging appears.
Cite
@article{arxiv.0709.1276,
title = {Exponential clogging time for a one dimensional DLA},
author = {Itai Benjamini and Christopher Hoffman},
journal= {arXiv preprint arXiv:0709.1276},
year = {2009}
}