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Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid | | Paul Wiegmann
; Alexander G. Abanov
; | | Date: |
18 Nov 2013 | | Abstract: | 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. The
hydrodynamics of the vortex fluid features the anomalous stress absent in
Euler’s hydrodynamics. The anomalous stress yields a number of interesting
effects. Some of them are: a deflection of stream lines, a correction to the
Bernoulli law, accumulation of vortices in regions with high curvature in the
curved space. The origin of the anomalous stresses is a divergence of
inter-vortex interactions at the micro-scale which manifest at the macro-scale.
We obtain the hydrodynamics of the vortex fluid from the Kirchhoff equations
for dynamics of point-like vortices | | Source: | arXiv, 1311.4479 | | Services: | Forum | Review | PDF | Favorites | |
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