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Granular gases are fascinating non-equilibrium systems with interesting features such as spontaneous clustering and non-Gaussian velocity distributions. Mixtures of different components represent a much more natural composition than…

软凝聚态物质 · 物理学 2023-09-11 Dmitry Puzyrev , Torsten Trittel , Kirsten Harth , Ralf Stannarius

We prove the so-called generalized Haff's law yielding the optimal algebraic cooling rate of the temperature of a granular gas described by the homogeneous Boltzmann equation for inelastic interactions with non constant restitution…

偏微分方程分析 · 数学 2010-07-28 Ricardo J. Alonso , Bertrand Lods

We study dynamics of freely cooling granular gases in two-dimensions using large-scale molecular dynamics simulations. We find that for dilute systems the typical kinetic energy decays algebraically with time, E(t) ~ t^{-1}, in the long…

统计力学 · 物理学 2007-05-23 Xiaobo Nie , Eli Ben-Naim , Shiyi Chen

We study the free evolution of frictional granular gases using large scale molecular dynamics simulation in three dimensions. The system cools due to solid friction among the interacting particles. At early stages of evolution, the density…

统计力学 · 物理学 2017-11-17 Prasenjit Das , Moshe Schwartz , Sanjay Puri

The total energy E(t) in a fluid of inelastic particles is dissipated through inelastic collisions. When such systems are prepared in a homogeneous initial state and evolve undriven, E(t) decays initially as t^{-2} \aprox exp[ - 2\epsilon…

统计力学 · 物理学 2009-10-31 R. Brito , M. H. Ernst

Granular gases as dilute ensembles of particles in random motion are not only at the basis of elementary structure-forming processes in the universe and involved in many industrial and natural phenomena, but also excellent models to study…

流体动力学 · 物理学 2018-09-14 Kirsten Harth , Torsten Trittel , Sandra Wegner , Ralf Stannarius

A highly polydisperse granular gas is modeled by a continuous distribution of particle sizes, a, giving rise to a corresponding continuous temperature profile, T(a), which we compute approximately, generalizing previous results for binary…

软凝聚态物质 · 物理学 2009-10-12 Hildegard Uecker , W. Till Kranz , Timo Aspelmeier , Annette Zippelius

We study the dynamics and structure of clusters in the inhomogeneous clustered regime of a freely cooling granular gas of point particles in one dimension. The coefficient of restitution is modeled as $r_0<1$ or 1 depending on whether the…

软凝聚态物质 · 物理学 2015-05-27 Mahendra Shinde , Dibyendu Das , R. Rajesh

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…

软凝聚态物质 · 物理学 2015-06-22 Sudhir N. Pathak , Dibyendu Das , R. Rajesh

Hydrodynamic equations are used to identify the final state reached by a freely evolving granular gas above but close to its shear instability. The theory predicts the formation of a two bands shear state with a steady density profile.…

统计力学 · 物理学 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero , A. Dominguez

We investigate in this article the long-time behaviour of the solutions to the energy-dependant, spatially-homogeneous, inelastic Boltzmann equation for hard spheres. This model describes a diluted gas composed of hard spheres under…

偏微分方程分析 · 数学 2012-07-18 Thomas Rey

We performed molecular dynamics simulations to investigate the clustering instability of a freely cooling dilute gas of inelastically colliding disks in a quasi-one-dimensional setting. We observe that, as the gas cools, the shear stress…

统计力学 · 物理学 2015-06-25 Baruch Meerson , Andrea Puglisi

A gas of particles which collide inelastically if their impact velocity exceeds a certain value is investigated. In difference to common granular gases, cluster formation occurs only as a transient phenomenon. We calculate the decay of…

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

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…

统计力学 · 物理学 2016-09-21 Prasenjit Das , Sanjay Puri , Moshe Schwartz

Free cooling of a gas of inelastically colliding hard spheres represents a central paradigm of kinetic theory of granular gases. At zero gravity the temperature of a freely cooling homogeneous granular gas follows a power law in time. How…

软凝聚态物质 · 物理学 2009-11-11 Dmitri Volfson , Baruch Meerson , Lev S. Tsimring

The coefficient of self-diffusion for a homogeneously cooling granular gas changes significantly if the impact-velocity dependence of the restitution coefficient $\epsilon$ is taken into account. For the case of a constant $\epsilon$ the…

统计力学 · 物理学 2009-10-31 Nikolai V. Brilliantov , Thorsten Poeschel

In a granular gas, inelastic collisions produce an instability in which the constituent particles cluster heterogeneously. These clusters then interact with each other, further decreasing their kinetic energy. We report experiments of the…

软凝聚态物质 · 物理学 2015-06-17 Justin C. Burton , Peter Y. Lu , Sidney R. Nagel

The inhomogeneous cooling state describing the hydrodynamic behavior of a freely evolving granular gas strongly confined between two parallel plates is studied, using a Boltzmann kinetic equation derived recently. By extending the idea of…

统计力学 · 物理学 2019-12-20 J. Javier Brey , M. I. García de Soria , P. Maynar

The time dependence of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastically colliding spheres is investigated by kinetic theory. We determine the full time dependence of the coefficients of an…

统计力学 · 物理学 2007-05-23 M. Huthmann , J. A. G. Orza , R. Brito

We present results of simulations for a dilute gas of inelastically colliding particles. Collisions are modelled as a stochastic process, which on average decreases the translational energy (cooling), but allows for fluctuations in the…

统计力学 · 物理学 2009-10-30 Timo Aspelmeier , Götz Giese , Annette Zippelius
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