Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence
arXiv:2007.00540 · doi:10.1103/PhysRevB.102.134513
Abstract
We performed numerical simulations of decaying quantum turbulence by using a generalized Gross-Pitaevskii equation, that includes a beyond mean field correction and a nonlocal interaction potential. The nonlocal potential is chosen in order to mimic He II by introducing a roton minimum in the excitation spectrum. We observe that at large scales the statistical behavior of the flow is independent of the interaction potential, but at scales smaller than the intervortex distance a Kelvin wave cascade is enhanced in the generalized model. In this range, the incompressible kinetic energy spectrum obeys the weak wave turbulence prediction for Kelvin wave cascade not only for the scaling with wave numbers but also for the energy fluxes and the intervortex distance.
arXiv comment14 pages, 9 figures
References in corpus (28)
- The physics of dipolar bosonic quantum gases
- Roton-maxon spectrum and stability of trapped dipolar condensates
- Introduction to quantum turbulence
- Bottleneck crossover between classical and quantum superfluid turbulence
- Helicity conservation by flow across scales in reconnecting vortex links and knots
- Rotating a supersolid dipolar gas
- Spectrum of Kelvin-wave turbulence in superfluids
- Theory of decay of superfluid turbulence in the low-temperature limit
- Dynamics and interaction of vortex lines in an elongated Bose-Einstein condensate
- Energy cascade with small-scales thermalization, counterflow metastability and anomalous velocity of vortex rings in Fourier-truncated Gross-Pitaevskii equation
- Energy cascade and the four-fifths law in superfluid turbulence
- (Non)-universality of vortex reconnections in superfluids
- Kelvin-wave cascade and dissipation in low-temperature superfluids vortices
- Kelvin-wave turbulence in superfluids
- Dual cascade and dissipation mechanisms in helical quantum turbulence
- Helicity, Topology and Kelvin Waves in reconnecting quantum knots
- Irreversible dynamics of vortex reconnections in quantum fluids
- The Kelvin-wave cascade in the vortex filament model
- Helicity conservation under quantum reconnection of vortex rings
- Spatio-temporal detection of Kelvin waves in quantum turbulence simulations
- Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation
- Quantitative estimation of effective viscosity in quantum turbulence
- Anomalous vortex ring velocities induced by thermally-excited Kelvin waves and counterflow effects in superfluids
- Coexistence of quantum and classical flows in quantum turbulence in the limit
- A matching theory to characterize sound emission during vortex reconnection in quantum fluids
- Static spectroscopy of a dense superfluid
- Amplitude of waves in the Kelvin-wave cascade
- Comment on "Amplitude of waves in the Kelvin-wave cascade"
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- Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence
- Intermittency of velocity circulation in quantum turbulence
- Feynman rules for forced wave turbulence
- Critical velocity for vortex nucleation and roton emission in a generalized model for superfluids
- Comment on "Theoretical analysis of quantum turbulence using the Onsager ideal turbulence theory''
- Kelvin waves, mutual friction, and fluctuations in the Gross-Pitaevskii model
- Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows
- Studies on quantum turbulence with Vinen
- Quantum vortex driven Kelvin wave in the thermal background of superfluid helium