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We consider a classic two-state switching diffusion model from a single-particle tracking perspective. The mean and the variance of the time-averaged mean square displacement (TAMSD) are computed exactly. When the measurement time (i.e.,…

Statistical Mechanics · Physics 2019-11-05 Denis S. Grebenkov

In the framework of Monitoring by Ocean Drifters (MONDO) Project, a set of Lagrangian drifters were released in proximity of the Brazil Current, the western branch of the Subtropical Gyre in the South Atlantic Ocean. The experimental…

Chaotic Dynamics · Physics 2015-05-30 Stefano Berti , Francisco Alves Dos Santos , Guglielmo Lacorata , Angelo Vulpiani

We introduce a minimal model of energy transfer through scales to describe, at a qualitative level, the subcritical transition between laminar and turbulent flows, viewed in a statistical physics framework as a discontinuous absorbing phase…

Fluid Dynamics · Physics 2026-01-08 Eric Bertin , Alex Andrix , Gaël Le Godais

Direct numerical simulation has been carried out on one attached and two separated boundary layer flows (involving small and large separation) under the influence of an adverse pressure gradient. A unified picture of the pre-transitional…

Fluid Dynamics · Physics 2021-09-29 A. Samson , Karthik Naicker , Sourabh S. Diwan

The statistical objects characterizing turbulence in real turbulent flows differ from those of the ideal homogeneous isotropic model.They containcontributions from various 2d and 3d aspects, and from the superposition ofinhomogeneous and…

chao-dyn · Physics 2009-10-31 Susan Kurien , Victor S. L'vov , Itamar Procaccia , K. R. Sreenivasan

We study metastable behaviour in systems of weakly interacting Brownian particles with localised, attractive potentials which are smooth and globally bounded. In this particular setting, numerical evidence suggests that the particles…

Probability · Mathematics 2025-02-19 Zachary P. Adams , Maximilian Engel , Rishabh S. Gvalani

We solve the advection-diffusion equation for a stochastically stationary passive scalar $\theta$, in conjunction with forced 3D Navier-Stokes equations, using direct numerical simulations in periodic domains of various sizes, the largest…

Fluid Dynamics · Physics 2021-11-19 Dhawal Buaria , Matthew P. Clay , Katepalli R. Sreenivasan , P. K. Yeung

Particle tracking in turbulent flows is fundamental to the study of the transport of tracers, inertial particles or even active objects in space and time, i.e. the Lagrangian frame of reference. It provides experimental tests of theoretical…

Fluid Dynamics · Physics 2024-04-08 Christian Küchler , Antonio Ibanez Landeta , Jan Molacek , Eberhard Bodenschatz

Two related open problems in the theory of 3D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field. Dissipation-range intermittency was first discovered experimentally…

Dynamical Systems · Mathematics 2009-11-10 J. D. Gibbon , Charles R. Doering

We consider turbulent advection of a scalar field $T(\B.r)$, passive or active, and focus on the statistics of gradient fields conditioned on scalar differences $\Delta T(R)$ across a scale $R$. In particular we focus on two conditional…

We examine the dispersion of a passive scalar released in an incompressible fluid flow in an unbounded domain. The flow is assumed to be spatially periodic, with zero spatial average, and random in time, in the manner of the random-phase…

Fluid Dynamics · Physics 2019-11-18 Antoine Renaud , Jacques Vanneste

Local dissipation scales are a manifestation of the intermittent small-scale nature of turbulence. We report the first experimental evaluation of the distribution of local dissipation scales in turbulent pipe flows for a range of Reynolds…

The universality of intermittency in hydrodynamic turbulence is considered based on a recent model for the velocity gradient tensor evolution. Three possible versions of the model are investigated differing in the assumed correlation…

Fluid Dynamics · Physics 2007-05-23 Laurent Chevillard , Charles Meneveau

This article proposes a Reynolds number scaling of the required grid points to perform wall-modeled LES of turbulent flows encountering separation off a solid surface. Based on comparisons between the various time scales in a…

Fluid Dynamics · Physics 2024-01-02 Rahul Agrawal , Sanjeeb Bose , Parviz Moin

The way the increment statistics of turbulent velocity fluctuations scale with the increment size is a centerpiece of turbulence theories. We report data on decaying turbulence in the Max Planck Variable Density Turbulence Tunnel (VDTT),…

Fluid Dynamics · Physics 2022-03-07 Christian Küchler , Eberhard Bodenschatz , Gregory P. Bewley

Recently observation of random walks in complex environments like the cell and other glassy systems revealed that the spreading of particles, at its tails, follows a spatial exponential decay instead of the canonical Gaussian. We use the…

Statistical Mechanics · Physics 2022-03-23 Wanli Wang , Eli Barkai , Stanislav Burov

We analyze large-scale patterns in three-dimensional turbulent convection in a horizontally extended square convection cell by Lagrangian particle trajectories calculated in direct numerical simulations. A simulation run at a Prandtl number…

Fluid Dynamics · Physics 2018-11-19 Christiane Schneide , Ambrish Pandey , Kathrin Padberg-Gehle , Jörg Schumacher

The diffusivity of tagged particles is demonstrated to be heterogeneous on time scales comparable to or less than the structural relaxation time %taking place at the interparticle distance in a highly supercooled liquid via 3D molecular…

Soft Condensed Matter · Physics 2009-10-31 Ryoichi Yamamoto , Akira Onuki

We study the statistics of single particle Lagrangian velocity in a shell model of turbulence. We show that the small scale velocity fluctuations are intermittent, with scaling exponents connected to the Eulerian structure function scaling…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , F. De Lillo , S. Musacchio

The normalized turbulent dissipation rate $C_\epsilon$ is studied in decaying and forced turbulence by direct numerical simulations, large-eddy simulations, and closure calculations. A large difference in the values of $C_\epsilon$ is…

Classical Physics · Physics 2007-12-18 Wouter J. T. Bos , L. Shao , Jean-Pierre Bertoglio