# Intermittency of Velocity Circulation in Quantum Turbulence

@article{Mller2020IntermittencyOV, title={Intermittency of Velocity Circulation in Quantum Turbulence}, author={Nicol{\'a}s P. M{\"u}ller and Juan Ignacio Polanco and Giorgio Krstulovic}, journal={Physical Review X}, year={2020} }

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation is quantized, taking discrete values that are directly related to the number and the orientation of thin vortex filaments enclosed by the path. By varying the size of such closed loop, the circulation provides a measure of the dependence of the flow…

## 5 Citations

### Multifractality breaking from bounded random measures.

- PhysicsPhysical review. E
- 2021

It turns out that the linearization effect can be accounted for by Liouville-like random measures defined in terms of upper-bounded scalar fields, and the coarse-grained statistical properties of Gaussian multiplicative chaos are found to be preserved in the linear regime of the scaling exponents.

### Velocity circulation intermittency in finite-temperature turbulent superfluid helium

- PhysicsPhysical Review Fluids
- 2022

We study intermittency of circulation moments in turbulent superﬂuid helium by using experimental grid turbulence and numerical simulations of the Hall-Vinen-Bekarevich-Khalatnikov model. More…

### Minimal surfaces unveiled from the statistics of turbulent circulation fluctuations

- PhysicsProceedings of the National Academy of Sciences
- 2021

A statistical formalism for turbulence which has circulation as its main dynamical variable is developed, and one of the most promising attempts to model quark confinement stands on the existence of center vortices.

### Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence

- PhysicsNature communications
- 2021

This work links the spatial distribution of vortices in quantum turbulence to the coarse-grained energy dissipation in classical turbulence, enabling the application of existent models of classical turbulence intermittency to the quantum case.

### The area rule for circulation in three-dimensional turbulence

- PhysicsProceedings of the National Academy of Sciences
- 2021

It is shown that the hitherto unknown connection between minimal surfaces and turbulence is highlighted, and it is found that circulation statistics match in the two cases only when normalized by an internal variable such as the SD.

## References

SHOWING 1-10 OF 85 REFERENCES

### Decaying Kolmogorov turbulence in a model of superflow

- Physics
- 1997

Superfluid turbulence is studied using numerical simulations of the nonlinear Schrodinger equation (NLSE), which is the correct equation of motion for superflows at low temperatures. This equation…

### Cascade of circulations in fluid turbulence.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

It is shown that singularities of sufficient strength, which are observed to exist in turbulent flow, can lead to nonvanishing dissipation of circulation for an arbitrarily small coarse-graining length in the effective equations, an analog for circulation of Onsager's theorem on energy dissipation for singular Euler solutions.

### Circulation in High Reynolds Number Isotropic Turbulence is a Bifractal

- PhysicsPhysical Review X
- 2019

The turbulence problem at the level of scaling exponents is hard in part because of the multifractal scaling of small scales, which demands that each moment order be treated and understood…

### Dual cascade and dissipation mechanisms in helical quantum turbulence

- Physics
- 2017

While in classical turbulence helicity depletes nonlinearity and can alter the evolution of turbulent flows, in quantum turbulence its role is not fully understood. We present numerical simulations…

### Experimental investigation of homogeneity, isotropy, and circulation of the velocity field in buoyancy-driven turbulence

- PhysicsJournal of Fluid Mechanics
- 2008

We present direct multipoint velocity measurements of the two-dimensional velocity field in the central region of turbulent Rayleigh–Bénard convection. The local homogeneity and isotropy of the…

### Vortex gas modeling of turbulent circulation statistics.

- Physics, Environmental SciencePhysical review. E
- 2020

The model introduced here borrows ideas from the structural approach to turbulence, whereby turbulent flows are depicted as dilute vortex gases, combined with the standard Obukhov-Kolmogorov phenomenological framework of small-scale intermittency, and is able to reproduce key statistical features of circulation, in close agreement with empirical observations compiled from direct numerical simulations.

### Numerical Studies of Quantum Turbulence

- Physics
- 2017

We review numerical studies of quantum turbulence. Quantum turbulence is currently one of the most important problems in low temperature physics and is actively studied for superfluid helium and…

### Three-dimensional vortex dynamics in superfluid 4He: Homogeneous superfluid turbulence.

- PhysicsPhysical review. B, Condensed matter
- 1988

The behavior of a tangle of quantized vortex lines subject to uniform superfluid and normal-fluid driving velocities is investigated and the quantitative results obtained are found to be in excellent absolute agreement with a large variety of experiments, including recent studies of the vortex-tangle anisotropy.

### Properties of velocity circulation in three-dimensional turbulence.

- PhysicsPhysical review letters
- 1996

Properties of velocity circulation in three-dimensional turbulence are studied using data from highresolution direct numerical simulation of Navier-Stokes equations, indicating that intermittency plays an important role in circulation statistics.