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The velocity distribution of spheres rolling on a slightly tilted rectangular two dimensional surface is obtained by high speed imaging. The particles are excited by periodic forcing of one of the side walls. Our data suggests that strongly…

统计力学 · 物理学 2009-10-31 A. Kudrolli , J. Henry

We report the statistical properties of spherical steel particles rolling on an inclined surface being driven by an oscillating wall. Strong dissipation occurs due to collisions between the particles and rolling and can be tuned by changing…

软凝聚态物质 · 物理学 2009-11-07 Daniel L. Blair , A. Kudrolli

A novel model of intermittency is presented in which the dynamics of the rates of energy transfer between successive steps in the energy cascade is described by a hierarchy of stochastic differential equations. The probability distribution…

流体动力学 · 物理学 2010-10-27 Domingos S. P. Salazar , Giovani L. Vasconcelos

Numerical simulations of a dissipative hard sphere gas reveal a dependence of the cooling rate on correlation of the particle velocities due to inelastic collisions. We propose a coefficient which characterizes the velocity correlations in…

统计力学 · 物理学 2009-11-07 Thorsten Poeschel , Nikolai V. Brilliantov , Thomas Schwager

The hydrodynamic Burnett equations and the associated transport coefficients are exactly evaluated for generalized inelastic Maxwell models. In those models, the one-particle distribution function obeys the inelastic Boltzmann equation,…

软凝聚态物质 · 物理学 2014-05-07 Nagi Khalil , Vicente Garzó , Andrés Santos

We perform large-scale event-driven Molecular dynamics (MD) simulations for granular gases of particles interacting with the impact-velocity dependent restitution coefficient. We use the simplest first-principle collision model of…

统计力学 · 物理学 2015-06-11 Awadhesh Kumar Dubey , Anna Bodrova , Sanjay Puri , Nikolai Brilliantov

We introduce a global thermostat on Kac's 1D model for the velocities of particles in a space-homogeneous gas subjected to binary collisions, also interacting with a (local) Maxwellian thermostat. The global thermostat rescales the…

数学物理 · 物理学 2021-05-12 Roberto Cortez , Hagop Tossounian

Brownian motion in a granular gas in a homogeneous cooling state is studied theoretically and by means of molecular dynamics. We use the simplest first-principle model for the impact-velocity dependent restitution coefficient, as it follows…

统计力学 · 物理学 2015-06-11 Anna Bodrova , Awadhesh Kumar Dubey , Sanjay Puri , Nikolai Brilliantov

We study a two-dimensional granular system where external driving force is applied to each particle in the system in such a way that the system is driven into a steady state by balancing the energy input and the dissipation due to inelastic…

统计力学 · 物理学 2009-10-30 Gongwen Peng , Takao Ohta

We explore the possibility of describing the main transport properties of a granular gas by means of a model consisting of elastic hard spheres under the action of a drag force that mimics the inelastic cooling of the granular gas. Direct…

统计力学 · 物理学 2007-05-23 Antonio Astillero , Andres Santos

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

混沌动力学 · 物理学 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

Recent computer simulation results [Barrat {\em et al.}, Physica A 334 (2004) 513] for granular mixtures subject to stochastic driving have shown the validity of the Einstein relation $\epsilon\equiv D/(T_0\lambda)=1$ between the diffusion…

统计力学 · 物理学 2009-11-10 Vicente Garzo

Bursty transport phenomena associated with convective motion present universal statistical characteristics among different physical systems. In this letter, a stochastic univariate model and the associated probability distribution function…

等离子体物理 · 物理学 2015-05-13 I. Sandberg , S. Benkadda , X. Garbet , G. Ropokis , K. Hizanidis , D. del-Castillo-Negrete

The free evolution of inelastic particles in one dimension is studied by means of Molecular Dynamics (MD), of an inelastic pseudo-Maxwell model and of a lattice model, with emphasis on the role of spatial correlations. We present an exact…

统计力学 · 物理学 2009-11-07 A. Baldassarri , U. Marini Bettolo Marconi , A. Puglisi

We study a one-dimensional model for granular gases, the so-called Inelastic Maxwell Model. We show theoretically the existence of stationary solutions of the unforced case, that are characterized by an infinite average energy per particle.…

统计力学 · 物理学 2007-06-13 R. Lambiotte , L. Brenig

The statistical-physical study of granular matter is essential to understand, from a fundamental point of view, the many different phenomena emerging in these classical many-body systems. Under rapid-flow conditions, granular materials…

软凝聚态物质 · 物理学 2023-10-23 Alberto Megías

The dynamics of inelastic hard spheres is described in terms of the binary collision expansion, yielding the corresponding pseudo-Liouville equation and BBGKY hierarchy for the reduced distribution functions. Based on cluster expansion…

统计力学 · 物理学 2008-02-03 T. P. C. van Noije , M. H. Ernst

To obtain further insight on possible power law generalizations of Boltzmann equilibrium concepts, a stochastic collision model is investigated. We consider the dynamics of a tracer particle of mass $M$, undergoing elastic collisions with…

统计力学 · 物理学 2009-11-10 Eli Barkai

The self-diffusion coefficient of a granular gas in the homogeneous cooling state is analyzed near the shearing instability. Using mode-coupling theory, it is shown that the coefficient diverges logarithmically as the instability is…

统计力学 · 物理学 2015-07-02 J. Javier Brey , Maria J. Ruiz-Montero

In this paper, we consider the spatially inhomogeneous diffusively driven inelastic Boltzmann equation in different cases: the restitution coefficient can be constant or can depend on the impact velocity (which is a more physically relevant…

偏微分方程分析 · 数学 2015-12-04 Isabelle Tristani