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We analyze the transport properties of a low density ensemble of identical macroscopic particles immersed in an active fluid. The particles are modeled as inelastic hard spheres (granular gas). The non-homogeneous active fluid is modeled by…

Soft Condensed Matter · Physics 2017-10-17 Francisco Vega Reyes , Antonio Lasanta

We employ Navier-Stokes granular hydrodynamics to investigate the long-time behavior of clustering instability in a freely cooling dilute granular gas in two dimensions. We find that, in circular containers, the homogeneous cooling state…

Soft Condensed Matter · Physics 2015-05-14 Itamar Kolvin , Eli Livne , Baruch Meerson

Granular materials fluidized by a rapidly vibrating bottom plate often develop a fascinating density inversion: a heavier layer of granulate supported by a lower-density region. We employ the Navier-Stokes granular hydrodynamics to follow a…

Soft Condensed Matter · Physics 2015-06-24 Yaron Bromberg , Eli Livne , Baruch Meerson

Segregation induced by a thermal gradient of an impurity in a driven low-density granular gas is studied. The system is enclosed between two parallel walls from which we input thermal energy to the gas. We study here steady states occurring…

Statistical Mechanics · Physics 2014-05-15 Francisco Vega Reyes , Vicente Garzó , Nagi Khalil

Dense granular clusters often behave like macro-particles. We address this interesting phenomenon in a model system of inelastically colliding hard disks inside a circular box, driven by a thermal wall at zero gravity. Molecular dynamics…

Statistical Mechanics · Physics 2007-05-23 Baruch Meerson , Manuel Diez-Minguito , Thomas Schwager , Thorsten Poeschel

We show a case of steady flow in a granular gas that, for small shear rates, is accurately described by Navier-Stokes hydrodynamics, even for high inelasticity. The (low density) granular gas is composed of identical inelastic spheres and…

Soft Condensed Matter · Physics 2013-10-15 Francisco Vega Reyes

We present a numerical simulation of a granular material using hydrodynamic equations. We show that, in the absence of external forces, such a system phase-separates into high density and low density regions. We show that this separation is…

Soft Condensed Matter · Physics 2009-11-07 Scott A. Hill , Gene F. Mazenko

We consider dense rapid shear flow of inelastically colliding hard disks. Navier-Stokes granular hydrodynamics is applied accounting for the recent finding \cite{Luding,Khain} that shear viscosity diverges at a lower density than the rest…

Soft Condensed Matter · Physics 2009-11-13 Evgeniy Khain

We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of…

Statistical Mechanics · Physics 2017-05-05 Matthew Burman , Daniel Carpenter , Robert L. Jack

We consider a coupled system consisting of a kinetic equation coupled to a macroscopic Stokes (or Navier-Stokes) equation and describing the motion of a suspension of rigid rods in gravity. A reciprocal coupling leads to the formation of…

Fluid Dynamics · Physics 2015-10-13 Christiane Helzel , Athanasios E. Tzavaras

We study the Navier-Stokes steady states for a low density monodisperse hard sphere granular gas (i.e, a hard sphere ideal monatomic gas with inelastic interparticle collisions). We present a classification of the uniform steady states that…

Soft Condensed Matter · Physics 2017-05-24 F. Vega Reyes , J. S. Urbach

Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high…

Soft Condensed Matter · Physics 2015-06-12 Ricardo Brito , Dino Risso , Rodrigo Soto

We investigate shear-induced crystallization in a very dense flow of mono-disperse inelastic hard spheres. We consider a steady plane Couette flow under constant pressure and neglect gravity. We assume that the granular density is greater…

Soft Condensed Matter · Physics 2009-11-11 Evgeniy Khain , Baruch Meerson

We address the crystallization of monodisperse hard spheres in terms of the properties of finite- size crystalline clusters. By means of large scale event-driven Molecular Dynamics simulations, we study systems at different packing…

We use ideal hydrodynamics to investigate clustering in a gas of inelastically colliding spheres. The hydrodynamic equations exhibit a new type of finite-time density blowup, where the gas pressure remains finite. The density blowups signal…

Soft Condensed Matter · Physics 2009-11-11 Itzhak Fouxon , Baruch Meerson , Michael Assaf , Eli Livne

We report an experimental investigation of the caging motion in a uniformly heated granular fluid, for a wide range of filling fractions, $\phi$. At low $\phi$ the classic diffusive behavior of a fluid is observed. However, as $\phi$ is…

Soft Condensed Matter · Physics 2009-11-11 Pedro M. Reis , Rohit A. Ingale , Mark D. Shattuck

Structural aspects of crystal nucleation in undercooled liquids are explored using a nonlinear hydrodynamic theory of crystallization proposed recently [G. I. Toth et al., J. Phys.: Condens. Matter 26, 055001 (2014)], which is based on…

Materials Science · Physics 2017-05-24 Frigyes Podmaniczky , Gyula I. Toth , Gyorgy Tegze , Laszlo Granasy

The linear hydrodynamic stability of a model for confined quasi-two-dimensional granular gases is analyzed. The system exhibits homogeneous hydrodynamics, i.e. there are macroscopic evolution equations for homogeneous states. The stability…

Statistical Mechanics · Physics 2016-10-12 J. Javier Brey , V. Buzón , M. I. García de Soria , P. Maynar

The steady state of a vibrated granular gas confined by a movable piston on the top is discussed. Particular attention is given to the hydrodynamic boundary conditions to be used when solving the inelastic Navier-Stokes equations. The…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero

We derive a novel thermodynamically consistent Navier--Stokes--Cahn--Hilliard system with dynamic boundary conditions. This model describes the motion of viscous incompressible binary fluids with different densities. In contrast to previous…

Analysis of PDEs · Mathematics 2023-10-25 Andrea Giorgini , Patrik Knopf
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