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The local statistical and geometric structure of three-dimensional turbulent flow can be described by properties of the velocity gradient tensor. A stochastic model is developed for the Lagrangian time evolution of this tensor, in which the…

Statistical Mechanics · Physics 2007-05-23 L. Chevillard , C. Meneveau

We report numerical results on the velocity statistics of topological defects during the dynamics of phase ordering and non-relaxational evolution assisted by an external shear ow. We propose a numerically efficient tracking method for…

Statistical Mechanics · Physics 2015-06-03 Luiza Angheluta , Patricio Jeraldo , Nigel Goldenfeld

A convection-driven multiscale dynamo model is developed in the limit of low Rossby number for the plane layer geometry in which the gravity and rotation vectors are aligned. The small-scale fluctuating dynamics are described by a…

Geophysics · Physics 2015-10-28 Michael A. Calkins , Keith Julien , Steven M. Tobias , Jonathan M. Aurnou

We investigate the connection between collisionless equilibria and the phase-space relation between density $\rho$ and velocity dispersion $\sigma$ found in simulations of dark matter halo formation, $F=\psd \propto r^{-\alpha}$.…

Astrophysics · Physics 2009-11-13 Eric I. Barnes , Liliya L. R. Williams , Arif Babul , Julianne J. Dalcanton

A semi--numerical approach proposed many years ago for describing gravitational collapse in the post--quasi--static approximation, is modified in order to avoid the numerical integration of the basic differential equations the approach is…

General Relativity and Quantum Cosmology · Physics 2024-03-13 L. Herrera , A. Di prisco , J. Ospino

We present a phenomenological study of the phase dynamics of the one-dimensional stochastically forced Burgers equation, and of the same equation under a Fourier mode reduction on a fractal set. We study the connection between coherent…

Fluid Dynamics · Physics 2016-04-19 Michele Buzzicotti , Brendan P. Murray , Luca Biferale , Miguel D. Bustamante

We formulate equations of time-dependent density functional theory (TDDFT) in the co-moving Lagrangian reference frame. The main advantage of the Lagrangian description of many-body dynamics is that in the co-moving frame the current…

Strongly Correlated Electrons · Physics 2009-11-10 I. V. Tokatly

We study the statistically steady states of the forced dissipative three-dimensional homogeneous isotropic turbulence at scales larger than the forcing scale in real separation space. The probability density functions (PDFs) of longitudinal…

Fluid Dynamics · Physics 2023-08-30 Mengjie Ding , Jin-Han Xie , Jianchun Wang

We investigate the old problem of the fast relaxation of collisionless $N$-body systems which are collapsing or perturbed, emphasizing the importance of (non-collisional) discreteness effects. We integrate orbit ensembles in fixed external…

Astrophysics of Galaxies · Physics 2019-01-30 Leandro Beraldo e Silva , Walter de Siqueira Pedra , Monica Valluri , Laerte Sodré , Jean-Bernard Bru

We investigate the structure and equilibrium linear-response dynamics of suspensions of hard colloidal dumbbells using Brownian Dynamics computer simulations. The focus lies on the dense fluid and plastic crystal states of the colloids with…

Soft Condensed Matter · Physics 2015-07-10 Nils Heptner , Joachim Dzubiella

Initially cold and spherically symmetric self-gravitating systems may give rise to a virial equilibrium state which is far from spherically symmetric, and typically triaxial. We focus here on how the degree of symmetry breaking in the final…

Astrophysics of Galaxies · Physics 2015-06-24 Francesco Sylos Labini , David Benhaiem , Michael Joyce

The acceleration parameter defined through the local volume expansion is negative for a pressureless, irrotational fluid with positive energy density. In the presence of inhomogeneities or anisotropies the volume expansion rate results from…

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

Statistical Mechanics · Physics 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

We present self-consistent triaxial stellar systems that have analytic distribution functions (DFs) expressed in terms of the actions. These provide triaxial density profiles with cores or cusps at the centre. They are the first…

Astrophysics of Galaxies · Physics 2015-09-30 Jason L. Sanders , N. Wyn Evans

Dark matter haloes form from the collapse of matter around special positions in the initial field, those where the local matter flows converge to a point. For such a triaxial collapse to take place, the energy shear tensor -- the source of…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-04 Marcello Musso , Ravi K. Sheth

The influence of the shear stress and angular momentum on the nonlinear spherical collapse model is discussed in the framework of the Einstein-de Sitter (EdS) and $\Lambda$CDM models. By assuming that the vacuum component is not clustering…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-11 Antonino Del Popolo , Francesco Pace , J. A. S. Lima

We conduct a molecular dynamics simulation of an inelastic gas system utilizing an event-driven algorithm combined with a thermostat mechanism. Initially, the kinetic energy of the system experiences a decay before settling into a…

Computational Physics · Physics 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

In star-forming clouds, high velocity flow gives rise to large fluctuations of density. In this work we explore the correlation between velocity magnitude (speed) and density. We develop an analytic formula for the joint probability…

Astrophysics of Galaxies · Physics 2023-08-02 Branislav Rabatin , David C. Collins

We present simultaneous experimental measurements of the dynamics of anisotropic particles transported by a turbulent flow and the velocity gradient tensor of the flow surrounding them. We track both rod-shaped particles and small spherical…

Fluid Dynamics · Physics 2015-06-23 Rui Ni , Stefan Kramel , Nicholas T. Ouellette , Greg A. Voth

[Background] Experimental data from heavy-ion experiments at RHIC-BNL and LHC-CERN are quantitatively described using relativistic fluid dynamics. Even p+A and p+p collisions show signs of collective behavior describable in the same manner.…

Nuclear Theory · Physics 2018-08-29 K. Gallmeister , H. Niemi , C. Greiner , D. H. Rischke
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