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The Chapman--Enskog solution to the Enskog kinetic equation of polydisperse granular mixtures is revisited to determine the first-order contributions $\varpi_i$ to the partial temperatures. As expected, these quantities (which were…

Statistical Mechanics · Physics 2019-09-20 Rubén Gómez González , Vicente Garzó

The shear viscosity for a moderately dense granular binary mixture of smooth hard spheres undergoing uniform shear flow is determined. The basis for the analysis is the Enskog kinetic equation, solved first analytically by the…

Statistical Mechanics · Physics 2009-11-10 Vicente Garzo , Jose Maria Montanero

We study the compressible Navier-Stokes system driven by physically relevant transport noise, where the noise influences both the continuity and momentum equations. Our approach is based on transforming the system into a partial…

Analysis of PDEs · Mathematics 2025-04-15 D. Breit , E. Feireisl , M. Hofmanova , P. B. Mucha

Concepts underlying the Enskog kinetic theory of hard-spheres are applied to include short-range correlation effects in a model for transport coefficients of strongly coupled plasmas. The approach is based on an extension of the effective…

Plasma Physics · Physics 2015-06-11 Scott D. Baalrud , Jerome Daligault

This paper presents a joint theoretical and numerical study of a stochastic version of the compressible Navier-Stokes equations within the location uncertainty (LU) framework, applied to problems related to upper ocean vertical mixing. This…

Fluid Dynamics · Physics 2026-05-22 Gilles Tissot , Étienne Mémin , Quentin Jamet

The formation of velocity vortices and density clusters is an intriguing phenomenon of freely cooling granular flows. In this work, the critical length scale $L_c$ for the onset of instability is determined via stability analysis of the…

Statistical Mechanics · Physics 2016-01-20 Vicente Garzó

Under many conditions, macroscopic grains flow like a fluid; kinetic theory pred icts continuum equations of motion for this granular fluid. In order to test the theory, we perform event driven molecular simulations of a two-dimensional gas…

Statistical Mechanics · Physics 2009-10-31 C. Bizon , M. D. Shattuck , J. B. Swift , Harry L. Swinney

We study in this work a steady shearing laminar flow with null heat flux (usually called "uniform shear flow") in a gas-solid suspension at low density. The solid particles are modeled as a gas of smooth hard spheres with inelastic…

Soft Condensed Matter · Physics 2015-12-03 Moisés G. Chamorro , F. Vega Reyes , V. Garzó

Physical parameters characterising electrokinetic transport in a confined electrolyte solution are reconstructed from the generic transport coefficients obtained within the classical non-equilibrium statistical thermodynamic framework. The…

Soft Condensed Matter · Physics 2014-11-18 Hiroaki Yoshida , Hideyuki Mizuno , Tomoyuki Kinjo , Hitoshi Washizu , Jean-Louis Barrat

We investigate interfacial fluid dynamics and heat transfer at nanoscales using an improved diffuse interface approach for liquid-vapor interfaces in non-equilibrium. Conventional Navier-Stokes-Korteweg (NSK) formulations often fail to…

Fluid Dynamics · Physics 2026-03-11 Rahul Bhattacharjee , Henning Struchtrup , Anirudh Singh Rana

The hydrodynamic equation governing the homogeneous time evolution of the temperature in a model of confined granular gas is studied by means of the Enskog equation. The existence of a normal solution of the kinetic equation is assumed as a…

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

We derive a continuum sharp-interface model for moving contact lines with soluble surfactants in a thermodynamically consistent framework. The model consists of the isothermal two-phase incompressible Navier-Stokes equations for the fluid…

Fluid Dynamics · Physics 2021-08-11 Quan Zhao , Weiqing Ren , Zhen Zhang

We calculate using molecular dynamics simulations the transport properties of realistically modeled fluid argon at pressures up to $\simeq 50GPa$ and temperatures up to $3000K$. In this context we provide a critique of some newer…

Statistical Mechanics · Physics 2007-05-23 Sorin Bastea

We consider a dilute gas of hard spheres in dimension $d \geq 2$ that upon collision either annihilate with probability $p$ or undergo an elastic scattering with probability $1-p$. For such a system neither mass, momentum, nor kinetic…

Statistical Mechanics · Physics 2007-05-23 Francois Coppex , Michel Droz , Emmanuel Trizac

The Enskog-like kinetic approach, recently introduced by us to study strongly inhomogeneous flu- ids, is reconsidered in order to improve the description of the transport coefficients. The approach is based on a separation of the…

Statistical Mechanics · Physics 2013-05-01 Umberto Marini Bettolo Marconi , Simone Melchionna

We study segregation of an impurity in a driven granular fluid under two types of \emph{steady} states. In the first state, the granular gas is driven by a stochastic volume force field with a Fourier-type profile while in the second state,…

Soft Condensed Matter · Physics 2015-01-05 Francisco Vega Reyes , Vicente Garzó

Hydrodynamic equations for granular gases driven by the Fokker-Planck operator are derived. Transport coefficients appeared in Navier-Stokes order change from the values of a free cooling state to those of a steady state.

Statistical Mechanics · Physics 2009-11-10 Hisao Hayakawa

We study the single particle velocity distribution for a granular fluid of inelastic hard spheres or disks, using the Enskog-Boltzmann equation, both for the homogeneous cooling of a freely evolving system and for the stationary state of a…

Statistical Mechanics · Physics 2007-05-23 T. P. C. van Noije , M. H. Ernst

The prototype model of a fluidized granular system is a gas of inelastic hard spheres (IHS) with a constant coefficient of normal restitution $\alpha$. Using a kinetic theory description we investigate the two basic ingredients that a model…

Statistical Mechanics · Physics 2009-11-10 Andres Santos , Antonio Astillero

A relativistic gas in a Schwarzschild metric is studied within the framework of a relativistic Boltzmann equation in the presence of gravitational fields, where Marle's model for the collision operator of the Boltzmann equation is employed.…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Gilberto M. Kremer