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We report experimental results on the three dimensional Lagrangian acceleration in highly turbulent flows. Tracer particles are tracked optically using four silicon strip detectors from high energy physics that provide high temporal and…

Fluid Dynamics · Physics 2009-11-10 Nicolas Mordant , Alice M. Crawford , Eberhard Bodenschatz

When analyzing the spatio-temporal dependence in most environmental and earth sciences variables such as pollutant concentrations at different levels of the atmosphere, a special property is observed: the covariances and cross-covariances…

Methodology · Statistics 2022-05-24 Mary Lai O. Salvaña , Amanda Lenzi , Marc G. Genton

We develop a probabilistic characterisation of trajectorial expansion rates in non-autonomous stochastic dynamical systems that can be defined over a finite time interval and used for the subsequent uncertainty quantification in Lagrangian…

Dynamical Systems · Mathematics 2021-12-24 Michal Branicki , Kenneth Uda

Vertical transport in the ocean plays a critical role in the exchange of freshwater, heat, nutrients, and other biogeochemical tracers. While there are situations where vertical fluxes are important, studying the vertical transport and…

A significant drawback of Lagrangian (particle-tracking) reactive transport models has been their inability to properly simulate interactions between solid and liquid chemical phases, such as dissolution and precipitation reactions. This…

Self-organized large-scale flow structures occur in a wide range of turbulent flows. Yet, their emergence, dynamics, and interplay with small-scale turbulence are not well understood. Here, we investigate such self-organized turbulent…

Fluid Dynamics · Physics 2021-06-14 Cristian C. Lalescu , Michael Wilczek

Self-consistent chaotic transport is studied in a Hamiltonian mean-field model. The model provides a simplified description of transport in marginally stable systems including vorticity mixing in strong shear flows and electron dynamics in…

Dynamical Systems · Mathematics 2016-01-11 D. Martínez-del-Río , D. del-Castillo-Negrete , A. Olvera , R. Calleja

We consider the so-called transport-Stokes system which describes sedimentation of inertialess suspensions in a viscous flow and couples a transport equation and the steady Stokes equations in the full three-dimensional space. First we…

Analysis of PDEs · Mathematics 2022-09-26 Amina Mecherbet , Franck Sueur

One of the basic concepts of modern physics with a long prehistory is a fluid, which means a substance that flows under an applied shear stress. In this sense fluids form a wide subset of the phases of matter that includes liquids, dense…

Statistical Mechanics · Physics 2022-07-12 Ihor Mryglod , Vasyl' Ignatyuk

The interaction of fluids with surface-mounted obstacles in canopy flows leads to strong turbulence that dominates dispersion and mixing in the neutrally stable atmospheric surface layer. This work focuses on intermittency in the Lagrangian…

Fluid Dynamics · Physics 2021-03-01 Ron Shnapp

We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that are unbiased with respect to the…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , A. D. Burbanks , C. Mulhern , A. H. Osbaldestin

Theoretical foundations of chaos have have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world…

Intermittent high-amplitude structures emerge in a damped and driven discrete nonlinear Schroedinger equation whose solutions transport both energy and particles from sources to sinks. These coherent structures are necessary for any…

Chaotic Dynamics · Physics 2007-05-23 Benno Rumpf Alan C. Newell

We study the longitudinal decorrelations of elliptic, triangular and quadrangular flows in heavy-ion collisions at the LHC and RHIC energies. The event-by-event CLVisc (3+1)-dimensional hydrodynamics model, combined with the fully…

Nuclear Theory · Physics 2019-02-20 Xiang-Yu Wu , Long-Gang Pang , Guang-You Qin , Xin-Nian Wang

We consider systems characterized by the presence of a rapidly oscillating force. A general method is presented for the construction of the effective action governing the large-scale nonlinear dynamics of such systems order by order in…

Chaotic Dynamics · Physics 2026-05-29 Afshin Besharat , Alexander A. Penin

Atmospheric flows, an example of turbulent fluid flows, exhibit fractal fluctuations of all space-time scales ranging from turbulence scale of mm -sec to climate scales of thousands of kilometers - years and may be visualized as a nested…

General Physics · Physics 2010-12-01 A. M. Selvam

A new theory for determining the mass function of cosmic structures is presented. It relies on a realistic treatment of collapse dynamics. Gravitational collapse is analyzed in the Lagrangian perturbative framework. Lagrangian perturbations…

Astrophysics · Physics 2015-06-24 Pierluigi Monaco

We introduce many families of explicit solutions to the three dimensional incompressible Euler equations for nonviscous fluid flows using the Lagrangian framework. Almost no exact Lagrangian solutions exist in the literature prior to this…

Analysis of PDEs · Mathematics 2022-09-14 Tomi Saleva , Jukka Tuomela

Wind-traffic interactions strongly influence the dynamic response of long-span bridges, yet loads are often analysed independently. This work models concurrent wind and traffic and demonstrates that it differs from linear superposition.…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Gledson Rodrigo Tondo , Guido Morgenthal

It is generally believed that the dynamics of simple fluids can be considered to be chaotic, at least to the extent that they can be modeled as classical systems of particles interacting with short range, repulsive forces. Here we give a…

chao-dyn · Physics 2007-05-23 R. van Zon , H. van Beijeren , J. R. Dorfman
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