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2013

Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid

Wiegmann, Paul, Abanov, Alexander G.

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Turbulent flows of incompressible liquid in two dimensions are comprised of dense systems of vortices.

Such system of vortices can be treated as a fluid and itself could be described in terms of hydrodynamics.
We develop the hydrodynamics of the vortex fluid.
This hydrodynamics captures characteristics of fluid flows averaged over fast circulations in the inter-vortex space.

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Noticeably that the Hamiltonian equivalent to ( 26
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2006

Cited alongside, same era.

I. V. Tokatly, G. Vignale, Phys. Rev. B 76

2009

Cited alongside, same era.

A quest for the hydrodynamics of vortex fluid is found in early works on hydrodynamics of superfluids Feynman ; Khalatnikov

Cited in the paper.

Anomalous forces acting on vortices in various settings are known in superconductors and superfluid H 3 e {}^{3}He , see, e.g., Kopnin , dense quark-gluon matter, see e.g., Son1 , and have been recently discussed in connection to the Quantum Hall Effect Avron ; W2 ; Tokatly ; ReadHV ; Son ; Abanov ; W2

Cited in the paper.

G. R. Kirchhoff, Vorlesungen über mathematische Physik

Cited in the paper.

The same Hamiltonian has been obtained in WZ in studies of the 2D Dyson gas

Cited in the paper.

A.G. Abanov, J. Phys. A: Math. Theor. 46

2013

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