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We consider a passive scalar field under the action of pumping, diffusion and advection by a smooth flow with a Lagrangian chaos. We present theoretical arguments showing that scalar statistics is not conformal invariant and formulate new…

Mathematical Physics · Physics 2012-10-23 Marija Vucelja , Gregory Falkovich , Konstantin S. Turitsyn

Reproducing complex phenomena with simple models marks our understanding of the phenomena themselves and this is what Jack Herring's work demonstrated multiple times. In that spirit, this work studies a turbulence shell model consisting of…

Fluid Dynamics · Physics 2023-07-31 Ben Ajzner , Alexandros Alexakis

The intensity distribution of electromagnetic polar waves in a chain of near-resonant weakly-coupled scatterers is investigated theoretically and supported by a numerical analysis. Critical scaling behavior is discovered for part of the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Sanli Faez , Ad Lagendijk , Alexander Ossipov

The properties of mesoscale Lagrangian turbulence in the Adriatic Sea are studied from a drifter data set spanning 1990-1999, focusing on the role of inhomogeneity and nonstationarity. A preliminary study is performed on the dependence of…

Atmospheric and Oceanic Physics · Physics 2015-06-26 Alberto Maurizi , Annalisa Griffa , Pierre-Marie Poulain , Francesco Tampieri

Fusion rules in turbulence address the asymptotic properties of many-point correlation functions when some of the coordinates are very close to each other. Here we put to experimental test some non-trivial consequences of the fusion rules…

chao-dyn · Physics 2008-02-03 Emily S. C. Ching , Victor S. L'vov , Itamar Procaccia

We develop a phenomenological model of strong imbalanced magnetohydrodynamic (MHD) turbulence that accounts for intermittency and the reflection of Alfven waves by spatial variations in the Alfven speed. Our model predicts the slopes of the…

Plasma Physics · Physics 2025-02-10 B. D. G. Chandran , N. Sioulas , S. Bale , T. Bowen , V. David , R. Meyrand , E. Yerger

Turbulent flows in three dimensions are characterized by the transport of energy from large to small scales through the energy cascade. Since the small scales are the result of the nonlinear dynamics across the scales, they are often…

Fluid Dynamics · Physics 2025-03-19 Lukas Bentkamp , Michael Wilczek

Scale invariance has received very little attention in physics. Nevertheless, it provides a natural conceptual foundation for a relational understanding of the universe, where absolute size loses meaning and only dimensionless ratios retain…

History and Philosophy of Physics · Physics 2026-02-13 Maria I. R. Lourenço , Julian Barbour , Francisco S. N. Lobo

Incompressible MHD turbulence is investigated under the presence of a uniform magnetic field $\bb0$. Such a situation is described in the correlation space by a divergence relation which expresses the statistical conservation of the…

Solar and Stellar Astrophysics · Physics 2015-05-20 Sebastien Galtier

We study a non-linear convective-diffusive equation, local in space and time, which has its background in the dynamics of the thickness of a wetting film. The presence of a non-linear diffusion predicts the existence of fronts as well as…

Soft Condensed Matter · Physics 2013-05-29 Alex Hansen , Bo-Sture Skagerstam , Glenn Tørå

We report observations of solar wind turbulence derived from measurements by the Parker Solar Probe. Our findings reveal the emergence of finite magnetic helicity within the transition range of the turbulence, aligning with signatures of…

The linear stability of a rotating, stratified, inviscid horizontal plane Couette flow in a channel is studied in the limit of strong rotation and stratification. An energy argument is used to show that unstable perturbations must have…

Fluid Dynamics · Physics 2009-11-13 J Vanneste , I Yavneh

The turbulent magnetic fields of a large set of fast solar wind streams measured onboard ACE and STEREO A and B are analyzed in an effort to identify the effects of the turbulence-level broad variations on the orientations of the local,…

Solar and Stellar Astrophysics · Physics 2013-12-18 B. R. Ragot

With the diffusion approximation, we study the cascade and damping of Alfv\'{e}n-cyclotron fluctuations in solar plasmas numerically. Motivated by wave-wave couplings and nonlinear effects, we test several forms of the diffusion tensor. For…

Astrophysics · Physics 2009-06-23 Yan Wei Jiang , Siming Liu , Vahé Petrosian , Christopher L. Fryer

The question of the relative importance of coherent structures and waves has for a long time attracted a great deal of interest in astrophysical plasma turbulence research, with a more recent focus on kinetic scale dynamics. Here we utilize…

Plasma Physics · Physics 2019-08-30 D. Groselj , C. H. K. Chen , A. Mallet , R. Samtaney , K. Schneider , F. Jenko

We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive…

Statistical Mechanics · Physics 2024-10-22 H. Bendekgey , G. Huber , D. Yllanes

Using Parker Solar Probe data from orbits 8 through 17, we examine fluctuation amplitudes throughout the critical region where the solar wind flow speed approaches and then exceeds the Alfv\'en wave speed, taking account of various…

In this paper we address the problem of consistently construct Langevin equations to describe fluctuations in non-linear systems. Detailed balance severely restricts the choice of the random force, but we prove that this property together…

Condensed Matter · Physics 2007-05-23 J. Bonet Avalos , I. Pagonabarraga

Atmospheric flows exhibit fluctuations of all scales (space -time) ranging from turbulence (millimeters-seconds) to climate (thousands of kilometers-years). The apparently random fluctuations however exhibit long-range spatio-temporal…

chao-dyn · Physics 2009-09-25 Suvarna Fadnavis , A. M. Selvam

We consider the statistical description of steady state fully developed incompressible fluid turbulence at the inertial range of scales in any number of spatial dimensions. We show that turbulence statistics is scale but not conformally…

High Energy Physics - Theory · Physics 2018-09-26 Yaron Oz