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The energy spectrum and the nolinear cascade rates of MHD turbulence is not clearly understood. We have addressed this problem using direct numerical simulation and analytical calculations. Our numerical simulations indicate that…

chao-dyn · Physics 2007-05-23 Mahendra K. Verma , Gaurav Dar

In magnetized plasmas, a turbulent cascade occurs in phase space at scales smaller than the thermal Larmor radius ("sub-Larmor scales") [Phys. Rev. Lett. 103, 015003 (2009)]. When the turbulence is restricted to two spatial dimensions…

Plasma Physics · Physics 2012-12-13 T. Tatsuno , G. G. Plunk , M. Barnes , W. Dorland , G. G. Howes , R. Numata

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

We study turbulence in self-gravitating superfluids by performing direct numerical simulations of the 3D Gross-Pitaevskii-Poisson (GPP) equation, which is also a model for dark matter haloes around galaxies. In the absence of self-gravity,…

Fluid Dynamics · Physics 2025-11-05 Sanjay Shukla

Turbulence models, such as the Smagorinsky model herein, are used to represent the energy lost from resolved to under-resolved scales due to the energy cascade (i.e. non-linearity). Analytic estimates of the energy dissipation rates of a…

Numerical Analysis · Mathematics 2019-04-24 Ali Pakzad

Many scaling relations are observed for self-gravitating systems in the universe. We explore the consistent understanding of them from a simple principle based on the proposal that the collision-less dark matter fluid terns into a turbulent…

Astrophysics · Physics 2010-02-04 Akika Nakamichi , Masahiro Morikawa

Some differences between theoretical, numerical and observational determinations of spectral slopes of solar wind turbulence are interpreted in the thermodynamical sense. Confirmations of turbulent Kolmogorov slopes in solar wind magnetic…

Space Physics · Physics 2016-03-01 R. A. Treumann , W. Baumjohann , Y. Narita

We define and characterize multi-time Lagrangian structure functions using data stemming from two swirling flows with mean flow and turbulent fluctuations: A Taylor-Green numerical flow, and a von K\'arm\'an laboratory experiment. Data is…

Fluid Dynamics · Physics 2022-07-21 Sofía Angriman , Pablo D. Mininni , Pablo J. Cobelli

This two-part review summarizes interstellar turbulence and its implications. The first part begins with diagnostics and energy sources. Turbulence theory is considered in detail, including the basic fluid equations, solenoidal and…

Astrophysics · Physics 2008-11-26 Bruce G. Elmegreen , John Scalo

We have designed a simple multi-scale method that identifies turbulent motions in hydrodynamical grid simulations. The method does not assmume ant a-priori coherence scale to distinguish laminar and turbulent flows. Instead, the local mean…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 F. Vazza , E. Roediger , M. Brueggen

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Abstract Self-similar, fractal nature of turbulence is discussed in the context of two dimensional turbulence, by considering the fractal structure of the wave-number domain using spirals. In loose analogy with phyllotaxis in plants, each…

Fluid Dynamics · Physics 2019-10-30 Ö. D. Gürcan , Shaokang Xu , P. Morel

Initial results from simulations of 4-fluid MHD turbulence in molecular clouds are presented. The species included in the simulations are ions, electrons, negatively charged dust grains and neutrals. The results indicate that, on length…

Astrophysics of Galaxies · Physics 2012-08-02 Turlough P. Downes

We measure the power and spectral index anisotropy of high speed solar wind turbulence from scales larger than the outer scale down to the ion gyroscale, thus covering the entire inertial range. We show that the power and spectral indices…

Space Physics · Physics 2015-05-18 R. T. Wicks , T. S. Horbury , C. H. K. Chen , A. A. Schekochihin

The large-scale limit or outer scale of turbulence in the solar wind is associated with the correlation length of the magnetic field. Determining correlation lengths from magnetic field time series in magnetic clouds is complicated by the…

Solar and Stellar Astrophysics · Physics 2026-02-06 S. W. Good , J. Lalueza Puértolas , A. -S. M. Jylhä , E. K. J. Kilpua

We develop an analytic framework to understand fragmentation in turbulent, self-gravitating media. Previously, we showed some properties of turbulence can be predicted with the excursion-set formalism. Here, we generalize to fully…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-02 Philip F. Hopkins

Turbophoresis in inhomogeneous turbulent flows leads to the formation of large-scale nonuniform particle number density distributions of inertial particles. This effect is associated with an effective drift velocity directed toward regions…

Fluid Dynamics · Physics 2026-05-15 E. Elmakies , O. Shildkrot , N. Kleeorin , A. Levy , I. Rogachevskii

The transfer of turbulence kinetic energy from large to small scales occurs through vortex stretching. Also, statistical properties of the subgrid-scale energy fluxes depend on the alignment of the vorticity vector with the principal strain…

Fluid Dynamics · Physics 2022-07-08 Jahrul Alam

We compute the frequency spectrum of turbulent superfluid vortex density fluctuations and obtain the same Kolmogorov scaling which has been observed in a recent experiment in Helium-4. We show that the scaling can be interpreted in terms of…

Statistical Mechanics · Physics 2011-08-05 Andrew W. Baggaley , Carlo F. Barenghi

We performed numerical simulations of supersonic isothermal turbulence driven by mostly compressive large-scale forcing, using both a static grid and adaptive mesh refinement with an effective resolution N=768^3. After a transient phase…

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