Archimedes' principle for Brownian liquid

Details Archimedes' principle for Brownian liquid Archimedes' principle for Brownian liquid

2009-12-30

arxiv.org/abs/0912.5398v2

Annals of Applied Probability 2011, Vol. 21, No. 6, 2053-2074

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/11-AAP765 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/11-AAP765

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.

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