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Updated: Jan 22, 2026

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Evolution of large-scale flow from turbulence in a two-dimensional superfluid
Shaun P Johnstone1, Andrew J Groszek2, Philip T Starkey2
1School of Physics and Astronomy, Monash University, Victoria 3800, Australia. shaun.johnstone@monash.edu kristian.helmerson@monash.edu.
Researchers experimentally confirmed Lars Onsager's statistical hydrodynamic model by observing an inverse energy cascade in superfluid Bose-Einstein condensates. This study reveals emergent large-scale structures and negative absolute temperatures in nonequilibrium quantum systems.
Area of Science:
- Quantum hydrodynamics
- Statistical mechanics
- Condensed matter physics
Background:
- Nonequilibrium interacting systems can form large-scale structures.
- Two-dimensional turbulent flow exhibits persistent large-scale vortices.
- Lars Onsager proposed a statistical hydrodynamic model for quantized vortices.
Purpose of the Study:
- Experimentally confirm Onsager's statistical hydrodynamic model.
- Investigate emergent structures in nonequilibrium quantum systems.
- Explore inverse energy cascades and negative absolute temperatures.
Main Methods:
- Generated nonequilibrium vortex distributions in an oblate superfluid Bose-Einstein condensate by dragging a grid barrier.
- Observed signatures of an inverse energy cascade.
- Measured steady-state configurations.
Main Results:
- Experimental confirmation of Onsager's model.
- Observed an inverse energy cascade driven by vortex evaporative heating.
- Achieved steady-state configurations with negative absolute temperatures.
Conclusions:
- The study provides experimental evidence for Onsager's model in superfluid Bose-Einstein condensates.
- Demonstrated emergent large-scale structures in a quantum system driven far from equilibrium.
- Opened a pathway for quantitative studies of nonequilibrium quantum phenomena.
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