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Statistical properties of circulation encode relevant information about the multi-scale structure of turbulent cascades. Recent massive computational efforts have posed challenging theoretical issues, as the dependence of circulation…

Fluid Dynamics · Physics 2020-11-04 G. B. Apolinário , L. Moriconi , R. M. Pereira , V. J. Valadão

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

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

Two-dimensional gyrokinetics is a simple paradigm for the study of kinetic magnetised plasma turbulence. In this paper, we present a comprehensive theoretical framework for this turbulence. We study both the inverse and direct cascades (the…

Plasma Physics · Physics 2015-05-13 G. G. Plunk , S. C. Cowley , A. A. Schekochihin , T. Tatsuno

Stratification can cause turbulence spectra to deviate from Kolmogorov's isotropic -5/3 power-law scaling in the universal equilibrium range at high Reynolds numbers. However, a consensus has not been reached with regard to the exact shape…

Fluid Dynamics · Physics 2018-10-22 Yu Cheng , Qi Li , Stefania Argentini , Chadi Sayde , Pierre Gentine

We describe ideal incompressible hydrodynamics on the hyperbolic plane which is an infinite surface of constant negative curvature. We derive equations of motion, general symmetries and conservation laws, and then consider turbulence with…

Chaotic Dynamics · Physics 2015-06-18 Gregory Falkovich , Krzysztof Gawedzki

We study two-dimensional turbulence in a square no-slip domain without bottom drag using direct numerical simulations. The dynamics are shown to depend strongly on the torque $M$ of the external forcing. When $M$ is relatively large, a…

Fluid Dynamics · Physics 2025-09-09 Alisa Shikanian , Vladimir Parfenyev

Experiments and numerical simulations show that the energy spectrum of the magnetohydrodynamic turbulence in the quasi-static limit deviates from Kolmogorov's $k^{-5/3}$ spectrum as the external magnetic field, or equivalently the…

Fluid Dynamics · Physics 2013-04-26 Mahendra K. Verma

A local turbulence model is developed to study energy cascades in the heliosheath and outer heliosphere (OH) based on self-consistent two-dimensional fluid simulations. The model describes a partially ionized magnetofluid OH that couples a…

Space Physics · Physics 2015-05-14 Dastgeer Shaikh , G. P. Zank

We study experimentally the statistical properties and evolution of circulation in a turbulent flow passing through a smooth 2-D contraction. The turbulence is generated with an active grids to reach $Re_{\lambda} \simeq 220$ at the inlet…

Fluid Dynamics · Physics 2024-01-31 Vivek Mugundhan , Sigurdur T. Thoroddsen

The understanding of turbulent flows is one of the biggest current challenges in physics, as no first-principles theory exists to explain their observed spatio-temporal intermittency. Turbulent flows may be regarded as an intricate…

Fluid Dynamics · Physics 2021-12-08 Juan Ignacio Polanco , Nicolás P. Müller , Giorgio Krstulovic

We look at various correlation functions, which include those that involve both the velocity and the vorticity fields, in two-dimensional (2D) isotropic homogeneous unforced turbulence. We adopt the more intuitive approach due to Kolmogorov…

Fluid Dynamics · Physics 2009-08-10 Sagar Chakraborty

Three-dimensional turbulence is usually studied experimentally by using a spatially localized forcing at large scales (e.g. via rotating blades or oscillating grids), often in a deterministic way. Here, we report an original technique where…

We investigate anomalously slow coarsening in a dilute two-dimensional (2d) superfluid closed with respect to particle and energy exchange with the environment. The dynamics is demonstrated to be closely connected to both, a non-thermal…

Quantum Gases · Physics 2026-05-29 Niklas Rasch , Thomas Gasenzer

The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic…

Statistical Mechanics · Physics 2020-04-22 J. Javier Brey , P. Maynar , M. I. García de Soria

Turbulence is ubiquitous in astrophysical fluids such as the interstellar medium (ISM) and the intracluster medium (ICM). In turbulence studies, it is customary to assume that fluid is driven on a single scale. However, in astrophysical…

Astrophysics of Galaxies · Physics 2015-06-18 Hyunju Yoo , Jungyeon Cho

We study the dynamics of phase transitions in the interstellar medium by means of three-dimensional hydrodynamic numerical simulations. We use a realistic cooling function and generic nonequilibrium initial conditions to follow the…

Astrophysics · Physics 2009-11-07 Alexei G. Kritsuk , Michael L. Norman

We present fully kinetic simulations of driven 2D turbulence in a relativistic plasma, designed for the first time to induce a fast magnetosonic cascade. As the driving strength increases, turbulence transitions from a weak wave-dominated…

Plasma Physics · Physics 2026-04-07 Petr Ugarov , Vladimir Zhdankin , Giuseppe Arrò

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

The connection between turbulence and solar-wind acceleration, long known in space physics, is further developed in this Letter by establishing a robust empirical law that relates the bulk-flow speed to the magnetohydrodynamic-scale…

Space Physics · Physics 2026-04-14 Rohit Chhiber , Yanwen Wang , Manuel E. Cuesta , Jiaming Wang , Sohom Roy