Vortex flows on closed surfaces
arXiv:1903.07607 · doi:10.1088/1751-8121/ab4e6a
Abstract
We investigate the bulk hydrodynamics of the chiral vortex matter on an arbitrary closed surface, extending the ideas of [20, 41]. Placing this important example of a chiral medium onto a curved geometry reveals the geometric nature of odd viscosity. The anomalous odd viscosity of the vortex matter is associated with a special interaction of point vortices with curvature.
12 pages