Amplitude of Waves in the Kelvin-Wave Cascade

Eltsov, V. B.; L’vov, Victor S.

doi:10.1134/s0021364020070012

Cited by 10 publications

(11 citation statements)

References 18 publications

(23 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Two independent groups leaded by L'vov and Nazarenko [30] and Kozik and Svistunov [45], starting from the same equations and applying the same theory derived different predictions. Even though, today there is more numerical data supporting L'vov and Nazarenko prediction [46][47][48][49], this issue is still debated [50][51][52]. We present here the L'vov and Nazarenko prediction as, we will see later, it was found to be in agreement with our numerical data.…”

Section: A a Brief Overview Of Cascades In Quantum Turbulencesupporting

confidence: 86%

“…We partially reproduce here and adapt to our case the considerations of Ref. [50]. The wave turbulence L'vov and Nazarenko prediction is…”

Section: A a Brief Overview Of Cascades In Quantum Turbulencementioning

confidence: 95%

“…This theoretical prediction is derived for an almost straight vortex of period L v and, as discussed in Ref. [50], some care is needed in order to apply the model to a turbulent vortex tangle. We partially reproduce here and adapt to our case the considerations of Ref.…”

Section: A a Brief Overview Of Cascades In Quantum Turbulencementioning

confidence: 99%

“…where k min is the smallest wave number of the Kelvin waves that can be associated with the wave number of the intervortex distance k = 2π/ in the case of a vortex tangle [50].˜ is defined so that it is independent of the constant C LN .…”

Section: A a Brief Overview Of Cascades In Quantum Turbulencementioning

confidence: 99%

See 3 more Smart Citations

Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence

Müller

Krstulovic

2020

Phys. Rev. B

View full text Add to dashboard Cite

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 flux and the intervortex distance.

show abstract

Section: A a Brief Overview Of Cascades In Quantum Turbulencesupporting

confidence: 86%

“…We partially reproduce here and adapt to our case the considerations of Ref. [50]. The wave turbulence L'vov and Nazarenko prediction is…”

Section: A a Brief Overview Of Cascades In Quantum Turbulencementioning

confidence: 95%

Section: A a Brief Overview Of Cascades In Quantum Turbulencementioning

confidence: 99%

Section: A a Brief Overview Of Cascades In Quantum Turbulencementioning

confidence: 99%

See 2 more Smart Citations

Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence

Müller

Krstulovic

2020

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…Looking further ahead, by capturing a single-vortex in an engineered trapping configuration, we may well be able to study the dynamics of Kelvin waves on the captive vortex, a much anticipated goal in quantum turbulence research . 20…”

Section: Fig 2 (Colour Online)mentioning

confidence: 99%

Nanoscale Real-Time Detection of Quantum Vortices at Millikelvin Temperatures

Guthrie,

Kafanov,

Noble

et al. 2020

Preprint

View full text Add to dashboard Cite

Rotating quantum wave turbulence

et al. 2023

Self Cite

View full text Add to dashboard Cite

Turbulence under strong influence of rotation is described as an ensemble of interacting inertial waves across a wide range of length scales. In macroscopic quantum condensates, the quasiclassical turbulent dynamics at large scales is altered at small scales, where the quantization of vorticity is essential. The nature of this transition remains an unanswered question. Here we expand the concept of wave-driven turbulence to rotating quantum fluids where the spectrum of waves extends to microscopic scales as Kelvin waves on quantized vortices. We excite inertial waves at the largest scale by periodic modulation of the angular velocity and observe dissipation-independent transfer of energy to smaller scales and the eventual onset of the elusive Kelvin wave cascade at the lowest temperatures. We further find that energy is pumped to the system through a boundary layer distinct from the classical Ekman layer and support our observations with numerical simulations. Our experiments demonstrate a regime of turbulent motion in quantum fluids where the role of vortex reconnections can be neglected, thus stripping the transition between the classical and the quantum regimes of turbulence down to its constituent components.

show abstract

Amplitude of Waves in the Kelvin-Wave Cascade

Cited by 10 publications

References 18 publications

Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence

Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence

Nanoscale Real-Time Detection of Quantum Vortices at Millikelvin Temperatures

Rotating quantum wave turbulence

Contact Info

Product

Resources

About