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Vortex flows on closed surfaces

Published 18 Mar 2019 in physics.flu-dyn and cond-mat.mes-hall | (1903.07607v1)

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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