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Turbulence is known to show intermittency. That is, statistical properties vary with the length scale in a way not accounted for by statistical similarity where dimensionless ratios of moments are constant. Intermittency occurs even in the…

Fluid Dynamics · Physics 2007-05-23 Mogens V. Melander , Bruce R. Fabijonas

We study the intricate relationships between the dynamical scaling properties of electron wave packets and the multifractality of the eigenstates in quantum systems. Numerical simulations for the Harper model and the Fibonacci chain…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jianxin Zhong , Zhenyu Zhang , Michael Schreiber , E. Ward Plummer , Qian Niu

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

We study two-dimensional (2D) binary-fluid turbulence by carrying out an extensive direct numerical simulation (DNS) of the forced, statistically steady turbulence in the coupled Cahn-Hilliard and Navier-Stokes equations. In the absence of…

Fluid Dynamics · Physics 2017-04-06 Prasad Perlekar , Nairita Pal , Rahul Pandit

This study introduces a new family of volumetric flatness factors which give a rigorous parametric description of the phenomenon of intermittency in fully developed turbulent flows. These quantities gather information about the most…

Analysis of PDEs · Mathematics 2023-05-10 Alexey Cheskidov , Roman Shvydkoy

High-resolution numerical simulations are utilized to examine isotropic turbulence in a compressible fluid when long wavelength velocity fluctuations approach light speed. Spectral analysis reveals an inertial sub-range of relativistic…

High Energy Astrophysical Phenomena · Physics 2013-01-04 Jonathan Zrake , Andrew MacFadyen

We present experimental evidence for a double cascade of kinetic energy in a statistically stationary rotating turbulence experiment. Turbulence is generated by a set of vertical flaps which continuously injects velocity fluctuations…

Fluid Dynamics · Physics 2021-07-27 Antoine Campagne , Basile Gallet , Frédéric Moisy , Pierre-Philippe Cortet

We perform experiments to study the inverse cascade regime of gravity wave turbulence on the surface of a fluid. Surface waves are forced at an intermediate scale corresponding to the gravity-capillary wavelength. In response to this…

Fluid Dynamics · Physics 2011-10-27 Luc Deike , Claude Laroche , Eric Falcon

This paper is aimed to contribute to the scientific discussions that have been triggered by the experimental observation of a quadratic relation between the kurtosis and skewness of turbulent fluctuations present in fusion plasmas and other…

Plasma Physics · Physics 2014-02-19 Dávid Guszejnov , Attila Bencze , Sándor Zoletnik , Nóra Lazányi

We introduce a system of bacteria confined to a finite 2D oil-water interface and driven on two distinct time scales by motility and by growth. The combined effect of activity on different time scales creates transitions between several…

Soft Condensed Matter · Physics 2023-06-28 Blake Langeslay , Gabriel Juarez

We present a fast, high-throughput method for characterizing the motility of microorganisms in 3D based on standard imaging microscopy. Instead of tracking individual cells, we analyse the spatio-temporal fluctuations of the intensity in…

We relate the second order structure function of a time series with the power spectrum of the original variable, taking an assumption of statistical stationarity. With this approach, we find that the structure function is strongly…

Fluid Dynamics · Physics 2014-01-20 Y. X. Huang , Francois G. Schmitt , Z. M. Lu , P. Fougairolles , Y. Gagne , Y. L. Liu

We analyze intermittence and roughening of an elastic interface or domain wall pinned in a periodic potential, in the presence of random-bond disorder in (1+1) and (2+1) dimensions. Though the ensemble average behavior is smooth, the…

Statistical Mechanics · Physics 2009-10-31 E. T. Seppälä , M. J. Alava , P. M. Duxbury

The large scale turbulent statistics of mechanically driven superfluid $^4$He was shown experimentally to follow the classical counterpart. In this paper we use direct numerical simulations to study the whole range of scales in a range of…

Other Condensed Matter · Physics 2018-02-28 L. Biferale , D. Khomenko , V. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

Turbulent emulsions are ubiquitous in chemical engineering, food processing, pharmaceuticals, and other fields. However, our experimental understanding of this area remains limited due to the multi-scale nature of turbulent flow and the…

Fluid Dynamics · Physics 2025-04-08 Yaning Fan , Yi-Bao Zhang , Jinghong Su , Lei Yi , Cheng Wang , Chao Sun

Spontaneous emergence of periodic oscillations due to self-organization is ubiquitous in turbulent flows. The emergence of such oscillatory instabilities in turbulent fluid mechanical systems is often studied in different system-specific…

Adaptation and Self-Organizing Systems · Physics 2020-12-08 Induja Pavithran , Vishnu R. Unni , Alan J. Varghese , R. I. Sujith , Abhishek Saha , Norbert Marwan , Jürgen Kurths

Theoretical considerations are made of superfluid turbulence in the Kelvin wave cascade regime at low temperatures (T < 1K) and length scales of the order or smaller than the intervortical distance. The energy spectrum is shown to be in…

Other Condensed Matter · Physics 2017-12-07 Bhimsen Shivamoggi

Turbulent flow restricted to two dimensions can spontaneously develop order on large scales, defying entropy expectations and in sharp contrast with turbulence in three dimensions where nonlinear turbulent processes act to destroy…

Other Condensed Matter · Physics 2020-07-15 E. Varga , V. Vadakkumbatt , A. J. Shook , P. H. Kim , J. P. Davis

It is crucial to understand the extreme intermittency of ocean and lake turbulence and turbulent mixing in order to estimate vertical fluxes of momentum, heat and mass by Osborn-Cox flux-dissipation methods. Vast undersampling errors occur…

Astrophysics · Physics 2007-05-23 Carl H. Gibson

Understanding intermittency of turbulent systems from the underlying differential equations is an outstanding problem in fluid dynamics. Here, in the example of Burgers turbulence as a stringent test, we introduce a method that yields…

Fluid Dynamics · Physics 2026-04-08 Timo Schorlepp , Rainer Grauer