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Following recent evidence that the vortices in decaying two-dimensional turbulence can be classified into small--mobile, and large--quasi-stationary, this paper examines the evidence that the latter might be considered a `crystal' whose…

Fluid Dynamics · Physics 2021-08-04 Javier Jiménez

Making use of the exact equations for structure functions, supplemented by the equations for dissipa tive anomaly as well as an estimate for the Lagrangian acceleration of fluid particles, we obtain a main result of the multifractal theory…

Chaotic Dynamics · Physics 2007-05-23 Victor Yakhot , K. R. Sreenivasan

A recent discovery about the inertial range of homogeneous and isotropic turbulence is the saturation of the scaling exponents $\zeta_n$ for large $n$, defined via structure functions of order $n$ as $S_{n}(r)=\overline{(\delta_r…

Fluid Dynamics · Physics 2022-08-23 Katepalli R. Sreenivasan , Victor Yakhot

For the steady-state direct cascade of two-dimensional Navier-Stokes turbulence, we derive analytically the probability of strong vorticity fluctuations. The probability density function (pdf) of the vorticity coarse-grained over a scale in…

Chaotic Dynamics · Physics 2015-05-20 Gregory Falkovich , Vladimir Lebedev , Mikhail Stepanov

The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared with the…

Fluid Dynamics · Physics 2015-03-17 B. J. McKeon , A. S. Sharma , I. Jacobi

We consider two cases of interaction between a planar shock and a cylindrical density interface. In the first case (planar normal shock), the axis of the gas cylinder is parallel to the shock front, and baroclinic vorticity deposited by the…

The topological and dynamical features of small scales are studied in the context of decaying magnetohydrodynamic turbulent flows using direct numerical simulations. Joint probability density functions (PDFs) of the invariants of gradient…

Fluid Dynamics · Physics 2015-06-15 Vassilios Dallas , Alexandros Alexakis

We investigate the single-point probability density function of the velocity in three-dimensional stationary and decaying homogeneous isotropic turbulence. To this end we apply the statistical framework of the Lundgren-Monin-Novikov…

Fluid Dynamics · Physics 2011-07-04 Michael Wilczek , Anton Daitche , Rudolf Friedrich

Dissipative systems can often exhibit wavelength-dependent loss rates. One prominent example is Rydberg polaritons formed by electromagnetically-induced transparency, which have long been a leading candidate for studying the physics of…

Quantum Physics · Physics 2021-10-27 C. L. Baldwin , P. Bienias , A. V. Gorshkov , M. J. Gullans , M. Maghrebi

Turbulence has strong and seemingly random fluctuations. Assessing its repeatability is key to predicting flows in technology and nature, much of which decay as viscosity dissipates energy. Much has been done to this end since the work of…

Fluid Dynamics · Physics 2026-05-11 Noé Clavier , Eberhard Bodenschatz , Florencia Falkinhoff

By combining experiments and numerical simulations which model the dynamics of shaken atomic Bose-Einstein condensates, we reveal the surprising nature of quantum turbulence in these systems. Unlike the tangles of vortex lines described in…

The two-dimensional ideal fluid and the plasma confined by a strong magnetic field exhibit an intrinsic tendency to organization due to the inverse spectral cascade. In the asymptotic states reached at relaxation the turbulence has vanished…

Plasma Physics · Physics 2017-04-05 F. Spineanu , M. Vlad

We present results from a numerical study of particle dispersion in the weakly nonlinear regime of Rayleigh-B\'enard convection of a fluid with Prandtl number around unity, where bi-stability between ideal straight convection rolls and weak…

Fluid Dynamics · Physics 2016-06-29 Simon Schütz , Eberhard Bodenschatz

This study experimentally investigates bubble size evolution and void fraction redistribution in an unexplored, coalescence-dominated regime of decaying turbulent bubbly flow. The flow is generated downstream of a regenerative pump in a…

Fluid Dynamics · Physics 2025-09-09 Vivek Kumar , Prasoon Suchandra , Ardalan Javadi , Suhas S. Jain , Cyrus Aidun

We point out some similitudes between the statistics of high Reynolds number turbulence and critical phenomena. An analogy is developed for two-dimensional decaying flows, in particular by studying the scaling properties of the two-point…

chao-dyn · Physics 2009-10-31 Denis Boyer

Two-dimensional arrays of nonlinear electric oscillators are considered theoretically, where nearest neighbors are coupled by relatively small, constant, but non-equal capacitors. The dynamics is approximately reduced to a weakly…

Pattern Formation and Solitons · Physics 2020-07-09 Victor P. Ruban

By extending the dipole Pomeron (DP) model, successful in describing elastic nucleon-nucleon scattering, to proton single diffractive dissociation (SD), we predict a dip-bump structure in the squared four-momentum transfer ($t$)…

High Energy Physics - Phenomenology · Physics 2024-06-05 László Jenkovszky , Rainer Schicker , István Szanyi

Empirical observations show that turbulence exhibits a broad range of scaling exponents, characterizing how the velocity gradients diverge in the inviscid limit. These exponents are thought to be linked to singular solutions of the Euler…

Chaotic Dynamics · Physics 2025-11-11 Guillaume Costa , Amaury Barral , Adrien Lopez , Quentin Pikeroen , Bérengère Dubrulle

This paper examines various ways of improving the impact resilience of protective structures. Such structures' purpose is to dissipate an impact's energy while avoiding cracking and failure. We have tested the reaction of plane…

Computational Physics · Physics 2025-02-26 Debdeep Bhattacharya , Tyler P. Evans , Andrej Cherkaev

We present a dynamical log-stable process for the spatio-temporal evolution of the energy-dissipation field in fully developed turbulence. The process is constructed from multifractal scaling relations required for two-point correlators of…

Statistical Mechanics · Physics 2007-05-23 J. Schmiegel , M. Greiner