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Updated: Feb 17, 2026

Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
Xiaoquan Yu1, Ashton S Bradley1
1Department of Physics, Centre for Quantum Science, and Dodd-Walls Centre for Photonic and Quantum Technologies, University of Otago, Dunedin 9054, New Zealand.
Abstract:
We develop a coarse-grained description of the point-vortex model, finding that a large number of planar vortices and antivortices behave as an inviscid non-Eulerian fluid at large scales. The emergent binary vortex fluid is subject to anomalous stresses absent from Euler's equation, caused by the singular nature of quantum vortices. The binary vortex fluid is compressible, and has an asymmetric Cauchy stress tensor allowing orbital angular momentum exchange with the vorticity and vortex density. An analytic solution for vortex shear flow driven by anomalous stresses is in excellent agreement with numerical simulations of the point-vortex model.
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