Vortex flows on closed surfaces
Fluid Dynamics
2019-11-01 v1 Mesoscale and Nanoscale Physics
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.
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Cite
@article{arxiv.1903.07607,
title = {Vortex flows on closed surfaces},
author = {A. Bogatskiy},
journal= {arXiv preprint arXiv:1903.07607},
year = {2019}
}
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12 pages