The Exotic Statistics of Leapfrogging Smoke Rings

Details The Exotic Statistics of Leapfrogging Smoke Rings The Exotic Statistics of Leapfrogging Smoke Rings

2004-10-08

arxiv.org/abs/cond-mat/0410212v2

Phys.Rev.Lett. 94 (2005) 124502

Physics

Condensed Matter

Statistical Mechanics

9 pages 1 figure

Scientific paper

10.1103/PhysRevLett.94.124502

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.

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