The Exotic Statistics of Leapfrogging Smoke Rings
Antti J. Niemi
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.
Create a lesson
Related papers
Maximum entropy explanation for the ubiquity of power-law mechanical responses
Sverre Holm
Thermodynamic Bethe Ansatz for the Toda chain from inverse scattering transform
Alberto Brollo
Lattice spin systems coupled to a compact U(1) gauge field with negative gauge coupling favoring frustration
Claudio Bonati, Ettore Vicari
The Inverse Mean First-Passage Time Problem
Tommer D. Keidar, Shlomi Reuveni, Igor M. Sokolov
Restricted triangular ice beyond the solvable manifolds: chiral ice and the critical region of dominant chiral vertices
Josep Batle
Establishing Néel order in the square-lattice antiferromagnetic Heisenberg model: a bootstrap proof
Nisarg Chadha, Taige Wang, Pavel A. Nosov et al.