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We present a numerical study of finite-temperature superfluid turbulence using the vortex filament model for superfluid helium. We examine the phenomenon of vorticity locking between the normal and superfluid components across a wide range…

Fluid Dynamics · Physics 2023-05-11 Jason Laurie , Andrew W. Baggaley

We present a parametric space study of the decay of turbulence in rotating flows combining direct numerical simulations, large eddy simulations, and phenomenological theory. Several cases are considered: (1) the effect of varying the…

Fluid Dynamics · Physics 2015-05-19 T. Teitelbaum , P. D. Mininni

Intermittency (externally induced) in the two-dimensional (2D) enstrophy cascade is shown to be able to maintain a finite enstrophy along with a vorticity conservation anomaly. Intermittency mechanisms of three-dimensional (3D) energy…

Fluid Dynamics · Physics 2007-05-23 Bhimsen K. Shivamoggi

We study the time evolution of the R\'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. By employing dimensional reduction, we effectively transform the 2D problem into decoupled chains, a…

Statistical Mechanics · Physics 2023-10-30 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

We study inertial-range statistics in the direct enstrophy cascade of two-dimensional turbulence via a numerical simulation of the forced Navier-Stokes equation. In particular, we obtain the distribution of the enstrophy flux and of the…

Chaotic Dynamics · Physics 2007-05-23 Xin Wang , Shiyi Chen , Robert E. Ecke , Gregory L. Eyink

The dynamics of quantized vortices in rotating $^3$He-B is investigated in the low density (single-vortex) regime as a function of temperature. An abrupt transition is observed at $0.5 T_{\rm c}$. Above this temperature the number of vortex…

Soft Condensed Matter · Physics 2007-05-23 A. P. Finne , V. B. Eltsov , G. Eska , R. Hanninen , J. Kopu , M. Krusius , E. V. Thuneberg , M. Tsubota

We study two-dimensional quantum turbulence in miscible binary Bose-Einstein condensates in either a harmonic trap or a steep-wall trap through the numerical simulations of the Gross-Pitaevskii equations. The turbulence is generated through…

Working directly from the 3D magnetohydrodynamical equations and entirely in physical scales we formulate a scenario wherein the enstrophy flux exhibits cascade-like properties. In particular we show the inertially-driven transport of…

Mathematical Physics · Physics 2013-06-28 Z. Bradshaw , Z. Grujić

This paper reviews briefly the recent important developments in the physics of quantum turbulence (QT) in superfluid helium and atomic Bose-Einstain condensates (BECs). After giving basics of quantum hydrodynamics, we discuss energy…

Quantum Gases · Physics 2015-06-18 Makoto Tsubota

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

It is understood in a general sense that turbulent fluid motion below the shock front in a core-collapse supernova stiffens the effective equation of state of the fluid and aids in the revival of the explosion. However, when one wishes to…

High Energy Astrophysical Phenomena · Physics 2025-11-24 David Calvert , Michael Redle , Bibek Gautam , Charles J. Stapleford , Carla Fröhlich , James P. Kneller , Matthias Liebendorfer

The bottleneck phenomenon in three-dimensional turbulence is generally associated with the dissipation range of the energy spectrum. In the present work, it is shown by using a two-point closure theory, that in two-dimensional turbulence it…

Fluid Dynamics · Physics 2010-09-02 Wouter J. T. Bos , Jean-Pierre Bertoglio

The dimensional transition in turbulent jets of a shear-thinning fluid is studied via direct numerical simulations. Our findings reveal that under vertical confinement, the flow exhibits a unique mixed-dimensional (or 2.5D) state, where…

Fluid Dynamics · Physics 2024-08-20 Christian Amor , Giovanni Soligo , Andrea Mazzino , Marco Edoardo Rosti

Quantum turbulence that exhibits vortex creation, annihilation and interactions is demonstrated as an exact solution of the time-dependent, free-particle Schr\"odinger equation evolved from a smooth random-phased initial condition. Relaxed…

Quantum Physics · Physics 2011-07-08 Tzihong Chiueh , Tak-Pong Woo , Hung-Yu Jian , Hsi-Yu Schive

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

Vortex filament model has become a standard and powerful tool to visualize the motion of quantized vortices in helium superfluids. In this article, we present an overview of the method and highlight its impact in aiding our understanding of…

Other Condensed Matter · Physics 2014-04-29 Risto Hänninen , Andrew W. Baggaley

Direct numerical simulations were performed to characterize fully developed supersonic turbulent channel flows over isothermal rough walls. The effect of roughness was incorporated using a level-set/volume-of-fluid immersed boundary method.…

In Ref. [1] the statistical structure of the turbulent cascade in the context of non-additive entropy was considered. Here we suggest that the vortex line ensemble in the Vinen quantum turbulence in superfluids is described by the…

Statistical Mechanics · Physics 2026-04-28 G. E. Volovik

We are concerned with the problem of the decay of a tangle of quantized vortices in He II generated by a heat current. Direct application of Vinen's equation yields the temporal scaling of vortex line density $L \sim t^{-1}$. Schwarz and…

Other Condensed Matter · Physics 2015-05-19 Michele Sciacca , Yuri A. Sergeev , Carlo F. Barenghi , Ladik Skrbek

Motivated by the study of cosmological phase transitions, our understanding of the formation of topological defects during spontaneous symmetry-breaking and the associated non-equilibrium field theory has recently changed. Experiments have…

Condensed Matter · Physics 2009-10-28 A. J. Gill , T. W. B. Kibble
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