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The statistics of a passive scalar randomly emitted from a point source is investigated analytically. Our attention has been focused on the two-point equal-time scalar correlation function. The latter is indeed easily related to the…

Chaotic Dynamics · Physics 2009-11-13 Antonio Celani , Marco Martins Afonso , Andrea Mazzino

The requirements of conformal invariance for two and three point functions for general dimension $d$ on flat space are investigated. A compact group theoretic construction of the three point function for arbitrary spin fields is presented…

High Energy Physics - Theory · Physics 2008-11-26 H. Osborn , A. Petkos

We present the first application of the angle-dependent 3-Point Correlation Function (3PCF) to the density fields magnetohydrodynamic (MHD) turbulence simulations intended to model interstellar (ISM) turbulence. Previous work has…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-03 Stephen K. N. Portillo , Zachary Slepian , Blakesley Burkhart , Sule Kahraman , Douglas P. Finkbeiner

We study the correlations of vorticity fluctuations inside a coherent vortex resulting from the inverse energy cascade in two-dimensional turbulence. The presence of a coherent flow, which is a differential rotation, suppresses small-scale…

Fluid Dynamics · Physics 2024-03-04 I. V. Kolokolov , V. V. Lebedev , M. M. Tumakova

We present an analysis of the two-point peculiar velocity correlation function using data from the CosmicFlows catalogues. The Millennium and MultiDark Planck 2 N-body simulations are used to estimate cosmic variance and uncertainties due…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-24 Yuyu Wang , Christopher Rooney , Hume A. Feldman , Richard Watkins

Three-dimensional turbulence is usually studied experimentally by using a spatially localized forcing at large scales (e.g. via rotating blades or oscillating grids), often in a deterministic way. Here, we report an original technique where…

We present experimental results on turbulence generated in thin fluid layers in the presence of a large-scale coherent flow, or a spectral condensate. It is shown that the condensate modifies the third-order velocity moment in a much wider…

Fluid Dynamics · Physics 2008-11-07 H. Xia , H. Punzmann , G. Falkovich , M. G. Shats

Time delay and velocity estimation has been a widely studied subject in the context of signal processing, with applications in many different fields of physics. The velocity of fluctuation structures is typically estimated as the distance…

Plasma Physics · Physics 2024-02-05 J. M. Losada , A. D. Helgeland , J. L. Terry , O. E. Garcia

Three-point correlation function in perturbed conformal field theory coupled to two-dimensional quantum gravity (perturbed Liouville gravity) is explicitly computed by using the free field approach. The representation considered here is the…

High Energy Physics - Theory · Physics 2008-11-26 Gaston Giribet

The relevance of two-dimensional three-components (2D3C) flows goes well beyond their occurrence in nature, and a deeper understanding of their dynamics might be also helpful in order to shed further light on the dynamics of pure…

Fluid Dynamics · Physics 2017-11-23 L. Biferale , M. Buzzicotti , M. Linkmann

We investigate the effect of hydrodynamic fluctuations on the rapidity decorrelations of anisotropic flow in high-energy nuclear collisions using a (3+1)-dimensional integrated dynamical model. The integrated dynamical model consists of…

Nuclear Theory · Physics 2020-12-30 Azumi Sakai , Koichi Murase , Tetsufumi Hirano

We obtain, by extensive direct numerical simulations, time-dependent and equal-time structure functions for the vorticity, in both quasi-Lagrangian and Eulerian frames, for the direct-cascade regime in two-dimensional fluid turbulence with…

Fluid Dynamics · Physics 2015-03-19 Samriddhi Sankar Ray , Dhrubaditya Mitra , Prasad Perlekar , Rahul Pandit

The recently proposed model of 'solid inflation' features a peculiar three-point function for scalar perturbations with an anisotropic, purely quadrupolar, squeezed limit. We confirm this result as well as the overall amplitude of the three…

High Energy Physics - Theory · Physics 2014-09-10 Solomon Endlich , Bart Horn , Alberto Nicolis , Junpu Wang

Rotating turbulence is an example of a three-dimensional system in which an inverse cascade of energy, from the small to the large scales, can be formed. While usually understood as a byproduct of the typical bidimensionalization of…

Fluid Dynamics · Physics 2018-11-09 M. Buzzicotti , P. Clark Di Leoni , L. Biferale

We use a simple a transverse radial boost scenario coupled to PYTHIA events to illustrate the impact radial flow may have on two- and three-particle correlation functions measured in heavy-ion collisions. We show that modest radial…

Nuclear Experiment · Physics 2008-11-26 Claude A. Pruneau , Sean Gavin , Sergei A. Voloshin

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

A new fundamentally-based formulation of nonlocal effects in the rapid pressure-strain correlation in turbulent flows has been obtained. The resulting explicit form for the rapid pressure-strain correlation accounts for nonlocal effects…

Fluid Dynamics · Physics 2015-05-13 Peter E. Hamlington , Werner J. A. Dahm

We study the typical collisional velocities in a polydisperse suspension of droplets in two and three-dimensional turbulent flow and obtain precise theoretical estimates of the dependence of the impact velocity of particles-pairs on their…

Fluid Dynamics · Physics 2016-03-21 Martin James , Samriddhi Sankar Ray

We use the more intuitive approach due to Kolmogorov (and subsequently, Landau in his text on fluid dynamics) to calculate some third-order structure functions for quasi-geostrophic turbulence for the forward cascade of pseudo-potential…

Fluid Dynamics · Physics 2008-07-23 Sagar Chakraborty

It has long been conjectured that, in three dimensional turbulence, velocity modes at scales larger than the forcing scale follow equilibrium dynamics. Recent numerical and experimental evidence show that such modes share the same mean…

Fluid Dynamics · Physics 2023-11-27 Alexandros Alexakis , Sergio Chibbaro , Guillaume Michel