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We derive exact scaling relations for two-dimensional relativistic hydrodynamic turbulence in the inertial range of scales. We consider both the energy cascade towards large scales and the enstrophy cascade towards small scales. We…

High Energy Physics - Theory · Physics 2016-01-27 John Ryan Westernacher-Schneider , Luis Lehner , Yaron Oz

The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, $E(k) \sim k^{-\alpha}$, $3 \le \alpha < 5$, is discussed.…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , M. Cencini , A. Lanotte , D. Vergni , A. Vulpiani

Multi-fractal scaling in the transition to the dissipative regime for fully-developed compressible turbulence is considered. The multi-fractal power law scaling behavior breaks down for very small length scales thanks to viscous effects.…

Fluid Dynamics · Physics 2010-01-07 B. K. Shivamoggi

For wavenumbers k such that k * alpha > 1, corresponding to spatial scales smaller than alpha, there are three candidate power laws for the energy spectrum of the Navier-Stokes-alpha model, corresponding to three possible dynamical eddy…

Fluid Dynamics · Physics 2015-06-26 E. Lunasin , S. Kurien , M. Taylor , E. Titi

This paper analyses the turbulent energy cascade from the perspective of statistical mechanics, and relates inter-scale energy fluxes to statistical irreversibility and information-entropy production. The microscopical reversibility of the…

Fluid Dynamics · Physics 2021-04-07 Alberto Vela-Martin , Javier Jimenez

Recent fully nonlinear, kinetic three-dimensional simulations of magnetic reconnection [Daughton et al. 2011] evolve structures and exhibit dynamics on multiple scales, in a manner reminiscent of turbulence. These simulations of…

Plasma Physics · Physics 2015-06-15 E. Leonardis , S. C. Chapman , W. Daughton , V. Roytershteyn , H. Karimabadi

There is a fundamental connection between temperature-quenched 2D superfluids and 2D quantum turbulence: the mechanism responsible for the decay of the vorticity after the quench is the enstrophy cascade of 2D turbulence. The range of the…

Statistical Mechanics · Physics 2022-02-02 Gary A. Williams

Turbulent cascades characterize the transfer of energy injected by a random force at large scales towards the small scales. In hydrodynamic turbulence, when the Reynolds number is large, the velocity field of the fluid becomes irregular and…

Mathematical Physics · Physics 2023-12-05 Gabriel B. Apolinário , Geoffrey Beck , Laurent Chevillard , Isabelle Gallagher , Ricardo Grande

We study the statistics of longitudinal and transverse structure functions, as well as velocity circulation in the inverse energy cascade of two-dimensional turbulence. By means of direct numerical simulations of the incompressible…

Fluid Dynamics · Physics 2024-11-27 Nicolás Pablo Müller , Giorgio Krstulovic

We present the first direct-numerical-simulation study of the statistical properties of two-dimensional superfluid turbulence in the Hall-Vinen-Bekharevich-Khalatnikov two-fluid model. We show that both normal-fluid and superfluid energy…

Fluid Dynamics · Physics 2015-09-23 Vishwanath Shukla , Anupam Gupta , Rahul Pandit

Kinetic simulations of relativistic turbulence have significantly advanced our understanding of turbulent particle acceleration. Recent progress has highlighted the need for an updated acceleration theory that can account for acceleration…

High Energy Astrophysical Phenomena · Physics 2024-03-19 Zachary Davis , Luca Comisso , Dimitrios Giannios

Turbulent behavior of the two-parameter family of generalized surface quasigeostrophic equations is examined both rigorously and numerically. We adapt a cascade mechanism argument to derive an energy spectrum that scales as…

Fluid Dynamics · Physics 2025-10-20 Chengzhang Fu , Michael S. Jolly , Anuj Kumar , Vincent R. Martinez

We investigate an inequality constraining the energy and potential enstrophy flux spectra in two-layer and multi-layer quasi-geostrophic models. Its physical significance is that it can diagnose whether any given multi-layer model that…

Chaotic Dynamics · Physics 2015-06-12 Eleftherios Gkioulekas

Most of the turbulent flows appearing in nature (e.g. geophysical and astrophysical flows) are subjected to strong rotation and stratification. These effects break the symmetries of classical, homogenous isotropic turbulence. In doing so,…

Fluid Dynamics · Physics 2015-09-11 Corentin Herbert , Annick Pouquet , Raffaele Marino

We use large-scale three-dimensional simulations of supersonic Euler turbulence to study the physics of a highly compressible cascade. Our numerical experiments describe non-magnetized driven turbulent flows with an isothermal equation of…

Astrophysics · Physics 2009-06-23 Alexei G. Kritsuk , Paolo Padoan , Rick Wagner , Michael L. Norman

A nonlinear two dimensional fluid model of whistler turbulence is developed that nonlinearly couples wave magnetic field with electron density perturbations. This coupling leads essentially to finite compressibility effects in whistler…

Space Physics · Physics 2015-05-18 Dastgeer Shaikh

The energy spectrum of superfluid turbulence in the absence of the normal fluid is studied numerically. In order to discuss the statistical properties, we calculated the energy spectra of the 3D velocity field induced by dilute and dense…

Soft Condensed Matter · Physics 2007-05-23 Tsunehiko Araki , Makoto Tsubota , Sergey K. Nemirovskii

Large eddy simulations (LES) are employed to investigate the role of time-varying currents on the form drag and vortex dynamics of submerged 3D topography in a stratified rotating environment. The current is of the form $U_c+U_t \sin(2\pi…

Fluid Dynamics · Physics 2022-06-01 Pranav Puthan , Geno Pawlak , Sutanu Sarkar

The Kolmogorov-Zakharov spectrum predicted by the Weak Turbulence Theory remains elusive for wave turbulence of flexural waves at the surface of an thin elastic plate. We report a direct measurement of the nonlinear timescale $T_{NL}$…

Chaotic Dynamics · Physics 2015-06-03 Benjamin Miquel , Nicolas Mordant

We establish exact inequalities for the structure-function scaling exponents of a passively advected scalar in both the inertial-convective and viscous-convective ranges. These inequalities involve the scaling exponents of the velocity…

chao-dyn · Physics 2009-10-28 Gregory L. Eyink
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