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By means of the Direct Simulation Monte Carlo method, the Boltzmann equation is numerically solved for a gas of hard spheres enclosed between two parallel plates kept at different temperatures and subject to the action of a gravity field…

Statistical Mechanics · Physics 2008-09-15 E. E. Tahiri , M. Tij , A. Santos

In the steady Couette flow of a granular gas the sign of the heat flux gradient is governed by the competition between viscous heating and inelastic cooling. We show from the Boltzmann equation for inelastic Maxwell particles that a special…

Statistical Mechanics · Physics 2010-06-01 Andrés Santos , Vicente Garzó , Francisco Vega Reyes

The simulation of granular particles in a quasi two-dimensional container under the vertical vibration as an experimental accessible model for granular gases is performed. The velocity distribution function obeys an exponential-like…

Statistical Mechanics · Physics 2009-11-10 Atsushi Kawarada , Hisao Hayakawa

We consider a one-dimensional system of four inelastic hard spheres, colliding with a fixed restitution coefficient $r$, and we study the inelastic collapse phenomenon for such a particle system. We study a periodic, asymmetric collision…

Dynamical Systems · Mathematics 2025-10-09 Théophile Dolmaire , Eleni Hübner-Rosenau

We show that two basic mechanical processes, the collision of particles and rolling motion of a sphere on a plane, are intimately related. According to our recent findings, the restitution coefficient for colliding spherical particles…

Materials Science · Physics 2009-11-07 Nikolai V. Brilliantov , Thorsten Poeschel

We investigate the cooling rate of a gas of inelastically interacting particles. When we assume velocity dependent coefficients of restitution the material cools down slower than with constant restitution. This behavior might have large…

Statistical Mechanics · Physics 2009-10-30 Thomas Schwager , 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

We numerically investigate head on collisions of isothermal visco-elastic spheres. We find that the restitution coefficient oscillates against the impact speed if the solid viscosity inside the sphere is small enough. We confirm that the…

Statistical Mechanics · Physics 2014-02-03 Ryo Murakami , Hisao Hayakawa

The importance of roughness in the modeling of granular gases has been increasingly considered in recent years. In this paper, a freely evolving homogeneous granular gas of inelastic and rough hard disks or spheres is studied under the…

Soft Condensed Matter · Physics 2023-07-25 Alberto Megías , Andrés Santos

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is carried out to identify the conditions for stability of a granular gas of rough hard spheres. The description is based on the results…

Soft Condensed Matter · Physics 2018-05-10 Vicente Garzó , Andrés Santos , Gilberto M. Kremer

We report an experimental study of particle kinematics in a 3-dimensional system of inelastic spheres fluidized by intense vibration. The motion of particles in the interior of the medium is tracked by high speed video imaging, yielding a…

Soft Condensed Matter · Physics 2010-01-11 Hong-Qiang Wang , Klebert Feitosa , Narayanan Menon

We study the inhomogeneous clustered regime of a freely cooling granular gas of rough particles in two dimensions using large-scale event driven simulations and scaling arguments. During collisions, rough particles dissipate energy in both…

Soft Condensed Matter · Physics 2015-06-22 Sudhir N. Pathak , Dibyendu Das , R. Rajesh

We describe here a model for inelastic collisions for electronic excitation and deexcitation processes in a general, multifluid plasma. The model is derived from kinetic theory, and applicable to any mixture and mass ratio. The principle of…

Plasma Physics · Physics 2015-10-08 H. P. Le , J. -L. Cambier

The non-equilibrium statistical mechanics and kinetic theory for a model of a confined quasi-two-dimensional gas of inelastic hard spheres is presented. The dynamics of the particles includes an effective mechanism to transfer the energy…

Statistical Mechanics · Physics 2015-06-18 J. Javier Brey , M. I. García de Soria , P. Maynar , V. Buzón

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

We consider the linear dissipative Boltzmann equation describing inelastic interactions of particles with a fixed background. For the simplified model of Maxwell molecules first, we give a complete spectral analysis, and deduce from it the…

Analysis of PDEs · Mathematics 2009-02-20 Bertrand Lods , Clément Mouhot , Giuseppe Toscani

The diffusion of tracer particles immersed in a granular gas under uniform shear flow (USF) is analyzed within the framework of the inelastic Boltzmann equation. Two different but complementary approaches are followed to achieve exact…

Soft Condensed Matter · Physics 2026-01-01 David González Méndez , Vicente Garzó

We study shock formation in vertically oscillated granular layers, using both molecular dynamics simulations and numerical solutions of continuum equations to Navier-Stokes order. A flat layer of grains is thrown up from an oscillating…

Soft Condensed Matter · Physics 2009-09-29 J. Bougie , Sung Joon Moon , J. B. Swift , Harry L. Swinney

The interplay between Coulomb friction and random excitations is studied experimentally by means of a rotating probe in contact with a stationary granular gas. The granular material is independently fluidized by a vertical shaker, acting as…

Soft Condensed Matter · Physics 2013-04-26 A. Gnoli , A. Puglisi , H. Touchette

We propose a mean field (MF) theory for a homogeneously driven granular gas of inelastic particles with Coulomb friction. The model contains three parameters, a normal restitution coefficient $r_n$, a maximum tangential restitution…

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