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Published on: July 19, 2016
Vortex configuration-dependent equilibrium and non-equilibrium states in two-dimensional quantum turbulence
Shawan Kumar Jha1, Makoto Tsubota2, Pankaj Mishra1
1Department of Physics, Indian Institute of Technology Guwahati , Guwahati, Assam, India.
Summary
The cluster vortex configuration rapidly reaches equilibrium, unlike dipole, plasma, and lattice configurations which tend towards non-thermal states. This study explores vortex dynamics and quantum turbulence, offering insights into equilibrium and non-equilibrium behaviors.
Area of Science:
- Statistical physics
- Quantum turbulence
- Fluid dynamics
Background:
- Vortex configurations are crucial in understanding turbulent systems.
- The Gross-Pitaevskii equation models superfluids and Bose-Einstein condensates.
- Characterizing equilibrium and non-equilibrium dynamics is key in statistical physics.
Purpose of the Study:
- To analyze the dynamical decay and equilibrium approach of four vortex configurations: dipole, plasma, cluster, and lattice.
- To compare the scaling laws and spectral properties of these configurations.
- To provide insights into quantum turbulence and control strategies.
Main Methods:
- Numerical analysis using the two-dimensional mean-field Gross-Pitaevskii equation.
- Investigation of vortex configurations including dipole, plasma, cluster, and lattice.
- Examination of spectral properties (incompressible, compressible, particle number) and transfer functions.
Main Results:
- Cluster configuration equilibrates faster than others.
- Dipole, plasma, and lattice configurations exhibit persistent non-equilibrium behavior towards non-thermal fixed points.
- Distinct scaling laws (Kolmogorov-like vs. Vinen-like) and spectral thermalization behaviors were observed across configurations.
Conclusions:
- The cluster configuration demonstrates characteristics closer to equilibrium states.
- Other configurations tend towards non-thermal fixed points, indicating complex non-equilibrium dynamics.
- Findings offer guidance for future research in quantum turbulence and its control.
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