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We explore the energy spectra and associated fluxes of turbulent two-dimensional quantum droplets subjected to a rotating paddling potential which is removed after a few oscillation periods. A systematic analysis on the impact of the…

Quantum Gases · Physics 2025-07-04 Shawan Kumar Jha , Mahendra K. Verma , S. I. Mistakidis , Pankaj Kumar Mishra

We investigate numerically the statistics of quantized vortices in two-dimensional quantum turbulence using the Gross-Pitaevskii equation. We find that a universal $-5/3$ scaling law in the turbulent energy spectrum is intimately connected…

Statistical Mechanics · Physics 2016-03-23 Audun Skaugen , Luiza Angheluta

We simulate the Gross-Pitaevskii equation to model the development of turbulence in a quantum fluid confined by a cuboid box potential, and forced by shaking along one axis. We observe the development of isotropic turbulence from…

Quantum Gases · Physics 2025-02-12 Tommy Z. Fischer , Ashton S. Bradley

The energy spectrum of superfluid turbulence is studied numerically by solving the Gross-Pitaevskii equation. We introduce the dissipation term which works only in the scale smaller than the healing length, to remove short wavelength…

Other Condensed Matter · Physics 2009-11-10 M. Kobayashi , M. Tsubota

The spectrum of turbulence in superfluid liquid is modified by the nonlinear energy dissipation caused by the mutual friction between quantized vortices and the normal component of the liquid. In some region of two Reynolds parameters…

Chaotic Dynamics · Physics 2009-11-10 Victor S. L'vov , Sergey V. Nazarenko , Grigory E. Volovik

Superfluid turbulence, often referred to as quantum turbulence, is a fascinating phenomenon for which a satisfactory theoretical framework is lacking. Holographic duality provides a systematic new approach to studying quantum turbulence by…

High Energy Physics - Theory · Physics 2012-12-20 Allan Adams , Paul M. Chesler , Hong Liu

We show the generation of two-dimensional quantum turbulence through simulations of a giant vortex decay in a trapped Bose-Einstein condensate. While evaluating the incompressible kinetic energy spectra of the quantum fluid described by the…

Quantum Gases · Physics 2014-05-06 A. C. Santos , V. S. Bagnato , F. E. A. dos Santos

We establish a statistical relationship between the inverse energy cascade and the spatial correlations of clustered vortices in two-dimensional quantum turbulence. The Kolmogorov spectrum $k^{-5/3}$ on inertial scales $r$ corresponds to a…

Statistical Mechanics · Physics 2017-06-07 Audun Skaugen , Luiza Angheluta

We numerically study two-dimensional quantum turbulence with a Gross--Pitaevskii model. With the energy initially accumulated at large scale, quantum turbulence with many quantized vortex points is generated. Due to the lack of enstrophy…

Other Condensed Matter · Physics 2015-05-18 Ryu Numasato , Makoto Tsubota , Victor S. L'vov

Measurements of the energy spectrum and of the vortex-density fluctuation spectrum in superfluid turbulence seem to contradict each other. Using a numerical model, we show that at each instance of time the total vortex line density can be…

Other Condensed Matter · Physics 2014-11-05 Andrew W. Baggaley , Jason Laurie , Carlo F. Barenghi

We demonstrate an inverse energy cascade in a minimal model of forced 2D quantum vortex turbulence. We simulate the Gross-Pitaevskii equation for a moving superfluid subject to forcing by a stationary grid of obstacle potentials, and…

Quantum Gases · Physics 2013-03-07 Matthew T. Reeves , Thomas P. Billam , Brian P. Anderson , Ashton S. Bradley

Turbulent fluid dynamics typically involves excitations on many different length scales. Classical incompressible fluids can be cleanly represented in Fourier space enabling spectral analysis of energy cascades and other turbulence…

Quantum Gases · Physics 2022-11-02 Ashton S. Bradley , R. Kishor Kumar , Sukla Pal , Xiaoquan Yu

We study two dimensional superfluid turbulence by employing an effective description valid in the limit where the density of superfluid vortices is parametrically small. At sufficiently low temperatures the effective description yields an…

Quantum Gases · Physics 2014-11-12 Paul M. Chesler , Andrew Lucas

A novel unitary quantum lattice gas algorithm is used to simulate quantum turbulence of a BEC described by the Gross-Pitaevskii equation on grids up to 5760^3. For the first time, an accurate power law scaling for the quantum Kelvin wave…

Quantum Physics · Physics 2015-05-13 Jeffrey Yepez

The energy spectrum of the superfluid turbulence without the normal fluid is studied numerically under the vortex filament model. Time evolution of the Taylor-Green vortex is calculated under the full nonlocal Biot-Savart law. It is shown…

Soft Condensed Matter · Physics 2009-11-07 Tsunehiko Araki , Makoto Tsubota , Sergey K. Nemirovskii

In $2048^3$ simulation of quantum turbulence within the Gross-Pitaevskii equation we demonstrate that the large scale motions have a classical Kolmogorov-1941 energy spectrum E(k) ~ k^{-5/3}, followed by an energy accumulation with E(k) ~…

We use continuous wavelet transform techniques to construct the global and environment-dependent wavelet statistics, such as energy spectrum and kurtosis, to study the fluctuation and intermittency of the turbulent motion in the cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Yun Wang , Ping He

We investigate two-dimensional turbulence in finite-temperature trapped Bose-Einstein condensates within damped Gross-Pitaevskii theory. Turbulence is produced via circular motion of a Gaussian potential barrier stirring the condensate. We…

Quantum Gases · Physics 2012-11-27 M. T. Reeves , B. P. Anderson , A. S. Bradley

Quantum turbulence is numerically studied by solving the Gross-Pitaevskii equation. Introducing both the energy dissipation at small scales and the energy injection at large scales, we succeed in obtaining the steady turbulence made by the…

Statistical Mechanics · Physics 2009-11-11 Makoto Tsubota , Michikazu Kobayashi

In turbulent flows, the fluid element gets deformed by chaotic motion due to the formation of sharp velocity gradients. A direct connection between the element of fluid stresses and the energy balance still remains elusive. Here, an exact…

Fluid Dynamics · Physics 2025-02-21 Damiano Capocci
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