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Experiments quantifying the rotational and translational motion of particles in a dense, driven, 2D granular gas floating on an air table reveal that kinetic energy is divided equally between the two translational and one rotational degrees…

Soft Condensed Matter · Physics 2015-06-03 Kiri Nichol , Karen E. Daniels

We study non-equilibrium velocity fluctuations in a model for the sedimentation of non-Brownian particles experiencing long-range hydrodynamic interactions. The complex behavior of these fluctuations, the outcome of the collective dynamics…

Statistical Mechanics · Physics 2015-06-24 M. -Carmen Miguel , R. Pastor-Satorras

From event-driven simulations of a gravity-driven channel flow of inelastic hard-disks, we show that the velocity distribution function remains close to a Gaussian for a wide range densities (even when the Knudsen number is of order one) if…

Soft Condensed Matter · Physics 2009-11-13 K. C. Vijayakumar , Meheboob Alam

Using a microfluidics device filled with a colloidal suspension of microspheres, we test the laws of diffusion in the limit of small particle numbers. Our focus is not just on average properties such as the mean flux, but rather on the…

Statistical Mechanics · Physics 2007-05-23 Effrosyni Seitaridou , Mandar M. Inamdar , Rob Phillips , Kingshuk Ghosh , Ken Dill

We present large-scale molecular dynamics simulations to study the free evolution of granular gases. Initially, the density of particles is homogeneous and the velocity follows a Maxwell-Boltzmann (MB) distribution. The system cools down…

Statistical Mechanics · Physics 2016-09-21 Prasenjit Das , Sanjay Puri , Moshe Schwartz

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

We analyze the fluctuations of the dissipated energy in a simple and general model where dissipation, diffusion and driving are the key ingredients. The large deviation function for the dissipation follows from hydrodynamic fluctuation…

Statistical Mechanics · Physics 2011-10-06 A. Prados , A. Lasanta , Pablo I. Hurtado

We perform large-scale molecular dynamics simulations to study heated granular fluids in three dimensions. Granular particles dissipate their kinetic energy due to solid frictional interaction with other particles. The velocity of each…

Statistical Mechanics · Physics 2018-01-25 Prasenjit Das , Sanjay Puri , Moshe Schwartz

We investigate the properties of a model of granular matter consisting of $N$ Brownian particles on a line subject to inelastic mutual collisions. This model displays a genuine thermodynamic limit for the mean values of the energy and the…

Statistical Mechanics · Physics 2009-10-31 A. Puglisi , V. Loreto , U. Marini Bettolo Marconi , A. Petri , A. Vulpiani

A diffusion process of a Brownian particle in a medium of temperature $T$ is re-considered. We assume that temperature of the medium fluctuates around its mean value. The velocity probability distribution is obtained. It is shown that the…

Statistical Mechanics · Physics 2007-05-23 J. Luczka , B. Zaborek

We consider the statistics of volume fluctuations in a one-dimensional classical gas of non-interacting particles confined by a piston, and subjected to an arbitrary external potential. We show that despite the absence of interactions…

Statistical Mechanics · Physics 2008-07-29 Eric Bertin , Maxime Clusel , Peter C. W. Holdsworth

This paper is devoted to a statistical analysis of the fluctuations of velocity and acceleration produced by a random distribution of point vortices in two-dimensional turbulence. We show that the velocity probability density function…

Statistical Mechanics · Physics 2009-10-31 Pierre-Henri Chavanis , Clément Sire

A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the probability…

Statistical Mechanics · Physics 2018-11-26 V. Sposini , A. V. Chechkin , F. Seno , G. Pagnini , R. Metzler

A statistical mechanical study of fluidized granular media is presented. Using a special energy injection mechanism, homogeneous fluidized stationary states are obtained. Molecular dynamics simulations and theoretical analysis of the…

Statistical Mechanics · Physics 2009-10-31 R. Soto , M. Mareschal

We report the experimental and theoretical study of electrostatically driven granular material. We show that the charged granular medium undergoes a hysteretic first order phase transition from the immobile condensed state (granular solid)…

Soft Condensed Matter · Physics 2016-08-31 I. S. Aranson , D. Blair , V. A. Kalatsky , G. W. Crabtree , W. -K. Kwok , V. M. Vinokur , U. Welp

In many physical or biological systems, diffusion can be described by Brownian motions with stochastic diffusion coefficients (DCs). In the present study, we investigate properties of the diffusion with a broad class of stochastic DCs with…

Statistical Mechanics · Physics 2024-06-13 Go Uchida , Hitoshi Washizu , Hiromi Miyoshi

We study a two-dimensional granular gas of inelastic spheres subject to multiplicative driving proportional to a power $|v(\vec{x})|^{\delta}$ of the local particle velocity $v(\vec{x})$. The steady state properties of the model are…

Statistical Mechanics · Physics 2009-10-31 Raffaele Cafiero , Stefan Luding , Hans Jürgen Herrmann

The effect of different possible kinds of motion of the exciting walls (cyclic, random, ...) is investigated on the dynamics of a granular dissipative gas. It is shown that the real distribution of speed of the wall which interact with the…

Fluid Dynamics · Physics 2011-12-19 P. Evesque

The dynamics of a tagged particle immersed in a fluid of particles of the same size but different mass is studied when the system is confined between two hard parallel plates separated a distance smaller than twice the diameter of the…

Statistical Mechanics · Physics 2022-12-06 P. Maynar , M. I. García de Soria , J. Javier Brey

The numerical experiments of turbulence conducted by Gotoh et al. are analyzed precisely with the help of the formulae for the scaling exponents of velocity structure function and for the probability density function (PDF) of velocity…

Statistical Mechanics · Physics 2009-11-07 T. Arimitsu , N. Arimitsu
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