The Exotic Statistics of Leapfrogging Smoke Rings
Statistical Mechanics
2009-11-10 v2 High Energy Physics - Theory
Fluid Dynamics
Abstract
The leapfrogging motion of smoke rings is a three dimensional version of the motion that in two dimensions leads to exotic exchange statistics. The statistical phase factor can be computed using the hydrodynamical Euler equation, which is a universal law for describing the properties of a large class of fluids. This suggests that three dimensional exotic exchange statistics is a common property of closed vortex loops in a variety of quantum liquids and gases, from helium superfluids to Bose-Einstein condensed alkali gases, metallic hydrogen in its liquid phases and maybe even nuclear matter in extreme conditions.
Keywords
Cite
@article{arxiv.cond-mat/0410212,
title = {The Exotic Statistics of Leapfrogging Smoke Rings},
author = {Antti J. Niemi},
journal= {arXiv preprint arXiv:cond-mat/0410212},
year = {2009}
}
Comments
9 pages 1 figure