Vortex flows on closed surfaces

被引:10
作者
Bogatskiy, A. [1 ]
机构
[1] Univ Chicago, Kadanoff Ctr Theoret Phys, Chicago, IL 60637 USA
关键词
incompressible fluids; coarse-graining; vortex matter; Coulomb gas; 2-DIMENSIONAL EULER EQUATIONS; STATISTICAL-MECHANICS; STATIONARY FLOWS; COADJOINT ORBITS; DIMENSIONS; VORTICES; MOTION; STABILITY;
D O I
10.1088/1751-8121/ab4e6a
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the bulk hydrodynamics of the chiral vortex matter on an arbitrary closed surface, extending the ideas of Khalatnikov (1989 Advanced Book Classics (Redwood City, CA: Addison-Wesley); Wiegmann and Abanov (2014 Phys. Rev. Lett. 113 034501). 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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页数:23
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