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Using diamagnetically levitated particles we investigate the dynamics of the freely cooling granular gas. At early times we find good agreement with Haff's law, where the time scale for particle collisions can be determined from independent…

Statistical Mechanics · Physics 2009-11-13 C. C. Maaß , N. Isert , G. Maret , C. M. Aegerter

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…

Fluid Dynamics · Physics 2018-09-14 Kirsten Harth , Torsten Trittel , Sandra Wegner , Ralf Stannarius

In contrast to molecular gases, granular gases are characterized by inelastic collisions and require therefore permanent driving to maintain a constant kinetic energy. The kinetic theory of granular gases describes how the average velocity…

Soft Condensed Matter · Physics 2020-05-25 Peidong Yu , Matthias Schröter , Matthias Sperl

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…

Analysis of PDEs · Mathematics 2010-07-28 Ricardo J. Alonso , Bertrand Lods

We report an experimental study of a dilute "gas" of magnetic particles subjected to a vertical alternating magnetic field in a 3D container. Due to the torque exerted by the field on the magnetic moment of each particle, a spatially…

Soft Condensed Matter · Physics 2014-02-10 Eric Falcon , Jean-Claude Bacri , Claude Laroche

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 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

In this work we address the question of whether a low-density system composed of identical rough particles may reach hydrodynamic states (also called \textit{normal} states), even if energy is not conserved in particle collisions. As a way…

Soft Condensed Matter · Physics 2018-09-10 Francisco Vega Reyes , Andrés Santos , Gilberto M. Kremer

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…

Statistical Mechanics · Physics 2007-05-23 Xiaobo Nie , Eli Ben-Naim , Shiyi Chen

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…

Statistical Mechanics · Physics 2019-12-20 J. Javier Brey , M. I. García de Soria , P. Maynar

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…

Statistical Mechanics · Physics 2017-11-17 Prasenjit Das , Moshe Schwartz , Sanjay Puri

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…

Soft Condensed Matter · Physics 2009-11-11 Dmitri Volfson , Baruch Meerson , Lev S. Tsimring

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…

Statistical Mechanics · Physics 2009-10-30 Timo Aspelmeier , Götz Giese , Annette Zippelius

In general, the total kinetic energy in a multicomponent granular gas of inelastic and rough hard spheres is unequally partitioned among the different degrees of freedom. On the other hand, partial energy equipartition can be reached, in…

Soft Condensed Matter · Physics 2019-06-19 Antonio Lasanta , Francisco Vega Reyes , Vicente Garzó , Andrés Santos

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…

Soft Condensed Matter · Physics 2009-10-12 Hildegard Uecker , W. Till Kranz , Timo Aspelmeier , Annette Zippelius

Wet granular materials are characterized by a defined bond energy in their particle interaction such that breaking a bond implies an irreversible loss of a fixed amount of energy. Associated with the bond energy is a nonequilibrium…

Soft Condensed Matter · Physics 2009-05-15 Stephan Ulrich , Timo Aspelmeier , Klaus Roeller , Axel Fingerle , Stephan Herminghaus , Annette Zippelius

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…

Soft Condensed Matter · Physics 2023-10-23 Alberto Megías

We study the properties of a one-dimensional (1D) granular gas consisting of $N$ hard rods on a line of length $L$ (with periodic boundary conditions). The particles collide inelastically and are fluidized by a heat bath at temperature…

Statistical Mechanics · Physics 2009-11-10 Fabio Cecconi , Fabiana Diotallevi , Umberto Marini Bettolo Marconi , Andrea Puglisi

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…

Soft Condensed Matter · Physics 2015-06-17 Justin C. Burton , Peter Y. Lu , Sidney R. Nagel

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…

Statistical Mechanics · Physics 2009-10-31 R. Brito , M. H. Ernst
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