Vortex flows on closed surfaces

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.

arXiv comment12 pages

References in corpus (9)

• Giant Vortex Clusters in a Two-Dimensional Quantum Fluid
• Vortices in Superfluid Films on Curved Surfaces
• Large N expansion for the 2D Dyson gas
• Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid
• FQHE on curved backgrounds, free fields and large N
• Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces
• Defect generation and deconfinement on corrugated topographies
• Collective Field Theory for Quantum Hall States
• Edge wave and boundary layer of vortex matter

Cited by in corpus (8)

• Hydrodynamics of ideal fracton fluids
• Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
• The boundary density profile of a Coulomb droplet. Freezing at the edge
• Non-linear shallow water dynamics with odd viscosity
• Vortex pairs and dipoles on closed surfaces
• Hydrodynamics of Quantum Vortices on a Closed Surface
• Quantum Vortices in Curved Geometries
• Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum