Archimedes' principle for Brownian liquid
Probability
2012-02-14 v2 Mathematical Physics
math.MP
Abstract
We consider a family of hard core objects moving as independent Brownian motions confined to a vessel by reflection. These are subject to gravitational forces modeled by drifts. The stationary distribution for the process has many interesting implications, including an illustration of the Archimedes' principle. The analysis rests on constructing reflecting Brownian motion with drift in a general open connected domain and studying its stationary distribution. In dimension two we utilize known results about sphere packing.
Cite
@article{arxiv.0912.5398,
title = {Archimedes' principle for Brownian liquid},
author = {Krzysztof Burdzy and Zhen-Qing Chen and Soumik Pal},
journal= {arXiv preprint arXiv:0912.5398},
year = {2012}
}
Comments
Published in at http://dx.doi.org/10.1214/11-AAP765 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)