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Vortex stretching as a mechanism for quantum kinetic energy decay
1Department of Mathematics, University of Warwick, Coventry, United Kingdom.
Physical Review Letters
|June 28, 2011
Summary
Quantum vortices exhibit instability, converting kinetic energy into interaction energy and mimicking classical fluid energy decay. This occurs despite their Hamiltonian and energy-conserving nature.
Area of Science:
- Quantum turbulence
- Fluid dynamics
- Nonlinear physics
Background:
- Quantum vortices are fundamental excitations in superfluids.
- Understanding their dynamics is crucial for superfluid behavior.
- Classical fluid turbulence provides a comparative framework.
Purpose of the Study:
- To investigate the stability of perturbed antiparallel quantum vortices.
- To analyze energy transfer mechanisms in quantum vortex dynamics.
- To compare quantum vortex decay to classical fluid energy dissipation.
Main Methods:
- Numerical simulations using the three-dimensional Gross-Pitaevskii equations.
- Analysis of kinetic energy (K(∇ψ)) and interaction energy (E(I)).
- Examination of spectral properties, specifically the kinetic energy spectrum.
Main Results:
- Perturbed antiparallel quantum vortices are unstable to vortex stretching.
- Kinetic energy is converted to interaction energy, leading to local depletion.
- Observed phenomena include vortex waves, reconnections, emission of vortex rings and phonons.
- A -5/3 kinetic energy spectrum at high wave numbers was generated.
Conclusions:
- Quantum vortex dynamics can exhibit energy decay analogous to classical fluids.
- The observed instabilities and energy transfer are driven by vortex interactions.
- The findings suggest potential generality in vortex dynamics across different systems.
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