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Scale invariance and the resulting power law behaviours are seen in diverse systems. In this work we consider translation, rotational and scale invariant systems defined on a lattice, such that the variables defining the state at every…

Statistical Mechanics · Physics 2025-05-19 Vaibhav Wasnik

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

We investigate the spatio-temporal quantity of coherence for turbulent velocity fluctuations at spatial distances of the order or larger than the integral length scale $l_{0}$. Using controlled laboratory experiments, an exponential decay…

Fluid Dynamics · Physics 2022-01-19 G. Prabhudesai , S. Perrard , F. Pétrélis , S. Fauve

Turbulence in the solar wind is characterized by Alfv\'enic fluctuations that exhibit spherical polarization, a geometric condition resulting in the nearly constant magnitude of the magnetic field. This property persists even during the…

Plasma Physics · Physics 2026-05-07 Anna Tenerani , Marco Velli

In-situ observations of magnetic field fluctuations in the solar wind show a broad continuum in the power spectral density (PSD) with a power-law range of scaling often identified as an inertial range of magnetohydrodynamic turbulence.…

Space Physics · Physics 2012-10-08 A. J. Turner , S. C. Chapman , G. Gogoberidze

We report on measurements of self-diffusion coefficients in discrete numerical simulations of steady, homogeneous, collisional shearing flows of nearly identical, frictional, inelastic spheres. We focus on a range of relatively high solid…

Soft Condensed Matter · Physics 2021-04-01 Riccardo Artoni , Michele Larcher , James Jenkins , Patrick Richard

As one of the cornerstones of fluid mechanics, stability analyses provide essential physical insights into the growth of perturbations and eventual transition to turbulence. However, classical \enquote{frozen-time} stability analyses…

Fluid Dynamics · Physics 2026-04-15 Stefan S. Nixon , Philipp P. Vieweg

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

Avalanche statistics of various threshold activated dynamical systems are known to depend on the magnitude of the drive, or stress, on the system. Such dependencies exist for earthquake size distributions, in sheared granular avalanches,…

Statistical Mechanics · Physics 2019-01-07 Soumyajyoti Biswas , Lucas Goehring

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

Physics and Society · Physics 2026-03-24 Lei Dong

We show that the intermittent and self-similar fluctuations displayed by a slow crack during the propagation in a heterogeneous medium can be quantitatively described by an extension of a classical statistical model for fracture. The model…

Disordered Systems and Neural Networks · Physics 2013-01-24 G. Pontuale , F. Colaiori , A. Petri

This paper deals with traveling wavefronts for temporally delayed, spatially discrete reaction-diffusion equations. Using a combination of the weighted energy method and the Green function technique, we prove that all noncritical wavefronts…

Dynamical Systems · Mathematics 2015-06-23 Shangjiang Guo , Johannes Zimmer

The way in which kinetic energy is distributed over the multiplicity of inertial (intermediate) scales is a fundamental feature of turbulence. According to Kolmogorov's 1941 theory, on the basis of a dimensional analysis, the form of the…

Fluid Dynamics · Physics 2011-10-21 Stefania Scarsoglio , Francesca De Santi , Daniela Tordella

In incompressible and periodic statistically stationary turbulence, exchanges of turbulent energy across scales and space are characterised by very intense and intermittent spatio-temporal fluctuations around zero of the time-derivative…

Fluid Dynamics · Physics 2018-08-28 Tatsuya Yasuda , John Christos Vassilicos

In this paper we systematically study the spectrum and structure of incompressible MHD turbulence by means of high resolution direct numerical simulations. We considered both balanced and imbalanced (cross-helical) cases and simulated…

Solar and Stellar Astrophysics · Physics 2009-08-17 A. Beresnyak , A. Lazarian

The turbulent spectrum of magnetic fluctuations in the solar wind displays a spectral break at ion characteristic scales. At electron scales the spectral shape is not yet completely established. Here, we perform a statistical study of 102…

Plasma Physics · Physics 2011-11-28 O. Alexandrova , C. Lacombe , A. Mangeney , R. Grappin

The first three-dimensional, nonlinear gyrokinetic simulation of plasma turbulence resolving scales from the ion to electron gyroradius with a realistic mass ratio is presented, where all damping is provided by resolved physical mechanisms.…

In the decay region around the centreline of three qualitatively different turbulent plane wakes, the turbulence is non-homogeneous and two-point turbulent diffusion counteracts the turbulence cascade all the way down to scales smaller than…

Fluid Dynamics · Physics 2026-01-09 Ernesto Fuentes Noriega , John Christos Vassilicos

A model for strong kinetic Alfv\'en plasma turbulence at scales smaller than the ion gyroscale is proposed. It is argued that magnetic and density fluctuations are concentrated mostly at two-dimensional structures, which leads to their…

Solar and Stellar Astrophysics · Physics 2015-06-04 Stanislav Boldyrev , Jean C Perez

The use of gyrokinetics, wherein phase-space coordinate transformations result in a phase-space dimensionality reduction as well as the removal of fast time scales, has enabled the simulation of microturbulence in fusion devices. The…

Plasma Physics · Physics 2025-09-10 Ronald Remmerswaal , Roman Hatzky , Eric Sonnendrücker
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