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We consider the single-particle velocity distribution of a one-dimensional fluid of inelastic particles. Both the freely evolving (cooling) system and the non-equilibrium stationary state obtained in the presence of random forcing are…

统计力学 · 物理学 2009-11-07 A. Barrat , T. Biben , Z. Racz , E. Trizac , F. van Wijland

This paper is devoted to a statistical analysis of the velocity fluctuations arising from a random distribution of point vortices in two-dimensional turbulence. Exact results are derived for the correlations in the velocities occurring at…

统计力学 · 物理学 2009-10-31 Pierre-Henri Chavanis , Clément Sire

Thin vortex tubes, with core sizes within the dissipation range, profuse in a homogeneous and isotropic turbulent flow. Their intersections with an arbitrary plane define, as a mathematical construct, a dilute gas of localized,…

流体动力学 · 物理学 2025-08-20 L. Moriconi , R. M. Pereira

The theory of homogeneously driven granular gases of hard particles predicts that the stationary state is characterized by a velocity distribution function with overpopulated high-energy tails as compared to the exponential decay valid for…

软凝聚态物质 · 物理学 2017-10-10 Christian Scholz , Thorsten Pöschel

We present a simple model for the shape of the distribution function of galaxy peculiar velocities. We show how both nonlinear and linear theory terms combine to produce a distribution which has an approximately Gaussian core with…

天体物理学 · 物理学 2009-10-31 Ravi K. Sheth , Antonaldo Diaferio

A large number (~10,000) of uniform stainless steel balls comprising less than one layer coverage on a vertically shaken plate provides a rich system for the study of excited granular media. Viewed from above, the horizontal motion in the…

软凝聚态物质 · 物理学 2007-05-23 J. S. Urbach , J. S. Olafsen

Experiments involving the two-dimensional passive diffusion of colloidal boomerangs tracked off their centre of mobility have shown striking non-Gaussian tails in their probability distribution function [Chakrabarty et al., Soft Matter 12,…

软凝聚态物质 · 物理学 2018-04-18 Lyndon Koens , Maciej Lisicki , Eric Lauga

Experimental results are presented on the transport properties of granular materials on a vibratory conveyor. For circular oscillations of the shaking trough a non-monotonous dependence of the transport velocity on the normalized…

软凝聚态物质 · 物理学 2009-11-10 R. Grochowski , P. Walzel , M. Rouijaa , C. A. Kruelle , I. Rehberg

We investigate the velocity relaxation of a viscous one-dimensional granular gas, that is, one in which neither energy nor momentum is conserved in a collision. Of interest is the distribution of velocities in the gas as it cools, and the…

统计力学 · 物理学 2009-11-10 Alexandre Rosas , Daniel ben-Avraham , Katja Lindenberg

We use a three-dimensional molecular dynamics simulation to study the single particle distribution function of a dilute granular gas driven by a vertically oscillating plate at high accelerations ($15g - 90g$). We find that the density and…

软凝聚态物质 · 物理学 2009-11-10 Sung Joon Moon , J. B. Swift , Harry L. Swinney

We analyze particle velocity fluctuations in a simulated granular system subjected to homogeneous quasistatic shearing. We show that these fluctuations share the following scaling characteristics of fluid turbulence in spite of their…

软凝聚态物质 · 物理学 2009-11-07 F. Radjai , S. Roux

An impact of particles' roughness on the self-diffusion coefficient in granular gases is investigated. For a simplified collision model where the normal and tangential restitution coefficients are assumed to be constant we develop an…

统计力学 · 物理学 2012-01-19 Anna Bodrova , Nikolai Brilliantov

In contrast to molecular gases, granular gases are characterized by inelastic collisions and require therefore permanent driving to maintain a constant kinetic energy. The kinetic theory of granular gases describes how the average velocity…

软凝聚态物质 · 物理学 2020-05-25 Peidong Yu , Matthias Schröter , Matthias Sperl

Our experiments and three-dimensional molecular dynamics simulations of particles confined to a vertical monolayer by closely spaced frictional walls (sidewalls) yield velocity distributions with non-Gaussian tails and a peak near zero…

统计力学 · 物理学 2009-11-10 J. S. van Zon , J. Kreft , Daniel I. Goldman , D. Miracle , J. B. Swift , Harry L. Swinney

We study inelastic gases in two dimensions using event-driven molecular dynamics simulations. Our focus is the nature of the stationary state attained by rare injection of large amounts of energy to balance the dissipation due to…

统计力学 · 物理学 2011-04-07 W. Kang , J. Machta , E. Ben-Naim

We compute the distribution of relative velocities for a one-dimensional model of heavy particles suspended in a turbulent flow, quantifying the caustic contribution to the moments of relative velocities. The same principles determine the…

流体动力学 · 物理学 2012-06-13 K. Gustavsson , B. Mehlig

We analyze the deviations from Maxwell-Boltzmann statistics found in recent experiments studying velocity distributions in two-dimensional granular gases driven into a non-equilibrium stationary state by a strong vertical vibration. We show…

统计力学 · 物理学 2009-11-07 Alain Barrat , Emmanuel Trizac

Numerical simulations are used to test the kinetic theory constitutive relations of inertial granular shear flow. These predictions are shown to be accurate in the dilute regime, where only binary collisions are relevant, but underestimate…

软凝聚态物质 · 物理学 2009-11-11 Gregg Lois , Anael Lemaitre , Jean M. Carlson

Using an Eulerian perturbative calculation, we show that the distribution of relative pairwise velocities which arises from gravitational instability of Gaussian density fluctuations has asymmetric (skewed) exponential tails. The negative…

天体物理学 · 物理学 2009-10-30 Roman Juszkiewicz , Karl B. Fisher , Istvan Szapudi

Deterministic and stochastic coupled oscillators with inertia are studied on the rectangular lattice under the shear-velocity boundary condition. Our coupled oscillator model exhibits various nontrivial phenomena and there are various…

统计力学 · 物理学 2024-09-05 Hidetsugu Sakaguchi