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Related papers: Velocity Distribution of Driven Inelastic One-comp…

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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…

Statistical Mechanics · Physics 2009-11-10 J. S. van Zon , J. Kreft , Daniel I. Goldman , D. Miracle , J. B. Swift , Harry L. Swinney

We study freely evolving and forced inelastic gases using the Boltzmann equation. We consider uniform collision rates and obtain analytical results valid for arbitrary spatial dimension d and arbitrary dissipation coefficient epsilon. In…

Statistical Mechanics · Physics 2007-05-23 P. L. Krapivsky , E. Ben-Naim

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…

Statistical Mechanics · Physics 2012-01-19 Anna Bodrova , Nikolai Brilliantov

We investigate velocity statistics of homogeneous inelastic gases using the Boltzmann equation. Employing an approximate uniform collision rate, we obtain analytic results valid in arbitrary dimension. In the freely evolving case, the…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We study the formation of high energy tails in a one-dimensional kinetic model for granular gases, the so-called Inelastic Maxwell Model. We introduce a time- discretized version of the stochastic process, and show that continuous time…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , L. Brenig , J. M. Salazar

We present an experimental study of velocity statistics for a partial layer of inelastic colliding beads driven by a vertically oscillating boundary. Over a wide range of parameters (accelerations 3-8 times the gravitational acceleration),…

Statistical Mechanics · Physics 2009-10-31 W. Losert , D. G. W. Cooper , J. Delour , A. Kudrolli , J. P. Gollub

We find a general class of nontrivial stationary states in inelastic gases where, due to dissipation, energy is transfered from large velocity scales to small velocity scales. These steady-states exist for arbitrary collision rules and…

Soft Condensed Matter · Physics 2007-05-23 E. Ben-Naim , J. Machta

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

We investigate traffic flows using the kinetic Boltzmann equations with a Maxwell collision integral. This approach allows analytical determination of the transient behavior and the size distributions. The relaxation of the car and cluster…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We consider the motion of a test particle in a one-dimensional system of equal-mass point particles. The test particle plays the role of a microscopic "piston" that separates two hard-point gases with different concentrations and arbitrary…

Statistical Mechanics · Physics 2009-11-07 V. Balakrishnan , I. Bena , C. Van den Broeck

Motivated by recent experiments reporting non-Gaussian velocity distributions in driven dilute granular materials, we study by numerical simulation the properties of inelastic gases as functions of the coefficient of restitution $\eta$ and…

Statistical Mechanics · Physics 2007-05-23 J. S. van Zon , F. C. MacKintosh

The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell (VM) system. These equations are considered in one space dimension and two momentum dimensions without the assumption…

Analysis of PDEs · Mathematics 2016-04-18 Robert Glassey , Stephen Pankavich , Jack Schaeffer

Kinetic properties of a granular gas of viscoelastic particles in a homogeneous cooling state are studied analytically and numerically. We employ the most recent expression for the velocity-dependent restitution coefficient for colliding…

Statistical Mechanics · Physics 2015-05-14 A. S. Bodrova , N. V. Brilliantov

We revisit effective scenarios for the origin of heavy tails in stationary velocity distributions. A first analysis combines localization with diffusive acceleration. That gets realized in space plasmas to find the so-called…

Statistical Mechanics · Physics 2020-06-24 Thibaut Demaerel , Wojciech De Roeck , Christian Maes

We study analytically and numerically the distribution of granular temperatures in granular mixtures for different dissipation mechanisms of inelastic inter-particle collisions. Both driven and force-free systems are analyzed. We…

Soft Condensed Matter · Physics 2019-11-13 Anna S. Bodrova , Alexander Osinsky , Nikolay Brilliantov

We address the problem of the so-called ``granular gases'', i.e. gases of massive particles in rapid movement undergoing inelastic collisions. We introduce a class of models of driven granular gases for which the stationary state is the…

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

We present a molecular dynamics and kinetic theory study of granular material, modeled by inelastic hard disks, fluidized by a random driving force. The focus is on collisional averages and short distance correlations in the non-equilibrium…

Statistical Mechanics · Physics 2009-11-07 I. Pagonabarraga , E. Trizac , T. P. C. van Noije , M. H. Ernst

In most of the literature on granular gases it is assumed that the restitution coefficient \epsilon, which quantifies the loss of kinetic energy upon a collision is independent on the impact velocity. Experiments as well as theoretical…

Statistical Mechanics · Physics 2007-05-23 Nikolai V. Brilliantov , Thorsten Poeschel

The uniform longitudinal flow is characterized by a linear longitudinal velocity field $u_x(x,t)=a(t)x$, where $a(t)={a_0}/({1+a_0t})$ is the strain rate, a uniform density $n(t)\propto a(t)$, and a uniform granular temperature $T(t)$.…

Soft Condensed Matter · Physics 2018-09-10 Antonio Astillero , Andrés Santos

Distribution functions of relative velocities among particles in a vibrated bed of powder are studied both numerically and theoretically. In the solid phase where granular particles remain near their local stable states, the probability…

chao-dyn · Physics 2009-10-22 Y-h. Taguchi , Hideki Takayasu