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The kinematic analysis of dark matter and hydrodynamical simulations suggests that the vorticity in large-scale structure is mostly confined to, and predominantly aligned with their filaments, with an excess of probability of 20 per cent to…

Using a recently introduced mapping between a scalar elastic network tethered at its boundaries and a diffusion problem with permanent traps, we study various vibrational properties of progressively tethered disordered fractals. Different…

Statistical Mechanics · Physics 2007-05-23 Sonali Mukherjee , Hisao Nakanishi

Nonlinear water waves interacting with quasi-one-dimensional, non-uniformly periodic bed profiles are studied numerically in the deep-water regime with the help of approximate equations for envelopes of the forward and backward waves.…

Fluid Dynamics · Physics 2015-05-14 V. P. Ruban

We study the nodal length of random toral Laplace eigenfunctions ("arithmetic random waves") restricted to decreasing domains ("shrinking balls"), all the way down to Planck scale. We find that, up to a natural scaling, for "generic"…

Mathematical Physics · Physics 2021-12-01 Jacques Benatar , Domenico Marinucci , Igor Wigman

Given the ensemble of random Gaussian Laplace eigenfunctions on the three-dimensional torus (`3d arithmetic random waves'), we investigate the $1$-dimensional Hausdorff measure of the nodal intersection curve against a compact regular toral…

Number Theory · Mathematics 2020-03-10 Riccardo Walter Maffucci

We present a numerical study on geometric percolation in liquid dispersions of hard slender colloidal particles subjected to an external orienting field. In the formulation and liquid-state processing of nanocomposite materials, the…

Soft Condensed Matter · Physics 2020-02-26 Shari P. Finner , Ilian Pihlajamaa , Paul van der Schoot

Preferential concentration of inertial particles in turbulent flow is studied by high resolution direct numerical simulations of two-dimensional turbulence. The formation of network-like regions of high particle density, characterized by a…

Chaotic Dynamics · Physics 2009-11-10 G. Boffetta , F. De Lillo , A. Gamba

We study free surface water waves in a 2-D symmetric triangular channel with sides that have a 45o slope. We develop models for small amplitude nonlinear waves, extending earlier studies that have considered the linearized problem. We see…

Fluid Dynamics · Physics 2022-08-31 P. Panayotaros , R. M. Vargas-Magaña

We consider the ensemble of random Gaussian Laplace eigenfunctions on $\mathbb{T}^3=\mathbb{R}^3/\mathbb{Z}^3$ (`$3d$ arithmetic random waves'), and study the distribution of their nodal surface area. The expected area is proportional to…

Number Theory · Mathematics 2017-08-24 Jacques Benatar , Riccardo W. Maffucci

We connect an appropriate feedback loop to a model of 2D vertical eddy of airflow which unfolds a wide range of vorticity behavior. Computational fluid dynamics of the twisted roll display a class of long lifespan 3D vortices. On the one…

Fluid Dynamics · Physics 2007-05-23 Safieddine Bouali

We study vortex states in a 3d random-field XY model of up to one billion lattice spins. Starting with random spin orientations, the sample freezes into the vortex-glass state with a stretched-exponential decay of spin correlations, having…

Statistical Mechanics · Physics 2014-01-07 D. A. Garanin , E. M. Chudnovsky , T. Proctor

The breaking of detailed balance in fluids through Coriolis forces or odd-viscous stresses has profound effects on the dynamics of surface waves. Here we explore both weakly and strongly non-linear waves in a three-dimensional fluid with…

Fluid Dynamics · Physics 2025-02-04 Alex Doak , Guido Baardink , Paul A Milewski , Anton Souslov

Generic wave dislocations (phase singularities, optical vortices) in three dimensions have anisotropic local structure, which is analysed, with emphasis on the twist of surfaces of equal phase along the singular line, and the rotation of…

Optics · Physics 2009-11-10 M. R. Dennis

The study of the exchange of momentum and energy between wave components of the turbulent velocity field, the so-called triad interactions, offers a unique way of visualizing and describing turbulence. Most often, this study has been…

Fluid Dynamics · Physics 2025-02-11 Preben Buchhave , Mengjia Ren , Clara Marika Velte

Near absolute zero, superfluid liquid helium displays quantum properties at macroscopic length scales. One property, superfluidity, means flow with zero viscosity. Another property, the existence of a complex wavefunction, constrains the…

Fluid Dynamics · Physics 2022-07-12 Carlo F. Barenghi

This paper describes the wide-field three-color observations of an expanded field of noctilucent clouds modulated by a one-dimensional gravity wave. Long wave crests were aligned by a small angle to the solar vertical in the sky. This made…

Atmospheric and Oceanic Physics · Physics 2023-02-15 Oleg S. Ugolnikov

We report on three-dimensional direct numerical simulation of wave turbulence on the free surface of a magnetic fluid subjected to an external horizontal magnetic field. A transition from capillarywave turbulence to anisotropic…

Plasma Physics · Physics 2023-09-29 Evgeny Kochurin , Guillaume Ricard , Nikolay Zubarev , Eric Falcon

Three-dimensional excitable systems can selforganize vortex patterns that rotate around one-dimensional phase singularities called filaments. In experiments with the Belousov-Zhabotinsky reaction and numerical simulations, we pin these…

Pattern Formation and Solitons · Physics 2015-04-08 Hua Ke , Zhihui Zhang , Oliver Steinbock

This paper addresses reconnection of vortex tubes, with particular focus on the topology of the vortex lines (field lines of the vorticity). This analysis of vortex line topology reveals previously undiscovered features of the reconnection…

Fluid Dynamics · Physics 2018-05-07 Philip McGavin , David I. Pontin

This paper explores experimental and numerical investigation of the spatio-temporal dynamics of a finite-length vortex column in three dimensions using Particle Image Velocimetry (PIV) and Large Eddy Simulation (LES). The research examines…

Fluid Dynamics · Physics 2024-11-12 Swetarka Das , Dharmendra Yadav , Abhisek Kumar Gupta , Debopam Das , Ashoke De