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Phys Rev Lett. 2018 Jan 19;120(3):034504. doi: 10.1103/PhysRevLett.120.034504.

Vortex Thermometry for Turbulent Two-Dimensional Fluids.

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School of Physics and Astronomy, Monash University, Victoria 3800, Australia.
School of Mathematics and Physics, University of Queensland, Queensland 4072, Australia.


We introduce a new method of statistical analysis to characterize the dynamics of turbulent fluids in two dimensions. We establish that, in equilibrium, the vortex distributions can be uniquely connected to the temperature of the vortex gas, and we apply this vortex thermometry to characterize simulations of decaying superfluid turbulence. We confirm the hypothesis of vortex evaporative heating leading to Onsager vortices proposed in Phys. Rev. Lett. 113, 165302 (2014)PRLTAO0031-900710.1103/PhysRevLett.113.165302, and we find previously unidentified vortex power-law distributions that emerge from the dynamics.

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