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The Boltzmann kinetic theory for a model of a confined quasi-two dimensional granular mixture derived previously [Garz\'o, Brito and Soto, Phys. Fluids \textbf{33}, 023310 (2021)] is considered further to analyze two different problems.…

软凝聚态物质 · 物理学 2024-03-07 Vicente Garzó , Ricardo Brito , Rodrigo Soto

The velocity distribution of inelastic granular gas is examined numerically on two dimensional hard disk system in nearly elastic regime using molecular dynamical simulations. The system is prepared initially in the equilibrium state with…

统计力学 · 物理学 2009-11-07 Hiizu Nakanishi

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 study the equilibrium behavior of one-dimensional granular clusters and one-particle granular gases for a variety of velocity dependent coefficients of restitution $r$. We obtain equations describing of the long time behavior for the…

统计力学 · 物理学 2009-11-11 E. Thiesen , W. A. M. Morgado

Solitons, or non-destructible local disturbances, are important features of many one-dimensional (1D) nonlinear wave phenomena, from water waves in narrow canals to light pulses in optical fibers. In ultra-cold gases, they have long been…

量子气体 · 物理学 2015-03-20 T. Karpiuk , P. Deuar , P. Bienias , E. Witkowska , K. Pawlowski , M. Gajda , K. Rzazewski , M. Brewczyk

We study, via hydrodynamic equations, the granular temperature profile of a granular fluid under gravity and subjected to energy injection from a base. It is found that there exists a turn-up in the granular temperature and that, far from…

统计力学 · 物理学 2016-08-31 Rosa Ramirez , Rodrigo Soto

The Boltzmann kinetic equation is considered to evaluate the first-order contributions $T_i^{(1)}$ to the partial temperatures in binary granular suspensions at low density. The influence of the surrounding gas on the solid particles is…

统计力学 · 物理学 2019-10-17 Rubén Gómez González , Vicente Garzó

It is shown that the homogeneous cooling state (HCS) for a heavy impurity particle in a granular fluid supports two distinct phases. The order parameter $\phi$ is the mean square velocity of the impurity particle relative to that of a fluid…

统计力学 · 物理学 2007-05-23 Andres Santos , James W. Dufty

Transport coefficients associated with the mass flux of an impurity immersed in a granular gas under simple shear flow are determined from the inelastic Boltzmann equation. A normal solution is obtained via a Chapman-Enskog-like expansion…

统计力学 · 物理学 2009-11-11 Vicente Garzo

We present experimental evidence for a first-order freezing/melting phase transition in a nonequilibrium system -- an oscillated two-dimensional isobaric granular fluid. The steady-state transition occurs between a gas and a crystal and is…

软凝聚态物质 · 物理学 2007-05-23 M. D. Shattuck

A kinetic theory for moderately dense gases of inelastic and rough spherical molecules is developed from the Enskog equation where a macroscopic state is characterized by 29 scalar fields which correspond to the moments of the distribution…

统计力学 · 物理学 2024-08-02 Gilberto M. Kremer

The Fokker-Planck equation for a heavy particle in a granular fluid is derived from the Liouville equation. The host fluid is assumed to be in its homogeneous cooling state and all interactions are idealized as smooth, inelastic hard…

统计力学 · 物理学 2007-05-23 J. W. Dufty , J. J. Brey

This study focuses on the modeling and dynamics of gravity-driven, axisymmetric thin liquid film flow along a conical surface. Spatial linear stability analysis is performed on the basis of a Benney-type equation derived for the present…

流体动力学 · 物理学 2026-02-11 Longmin Tang , Guangzhao Zhou

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

In the preceding paper, linear response methods have been applied to obtain formally exact expressions for the parameters of Navier-Stokes order hydrodynamics. The analysis there is general, applying to both normal and granular fluids with…

统计力学 · 物理学 2007-05-23 Aparna Baskaran , James W. Dufty , J. Javier Brey

We investigate a Maxwell model of inelastic granular mixture under the influence of a stochastic driving and obtain its steady state properties in the context of classical kinetic theory. The model is studied analytically by computing the…

统计力学 · 物理学 2009-11-07 Umberto Marini Bettolo Marconi , Andrea Puglisi

In contrast to normal fluids, a granular fluid under shear supports a steady state with uniform temperature and density since the collisional cooling can compensate locally for viscous heating. It is shown that the hydrodynamic description…

统计力学 · 物理学 2007-05-23 A. Santos , V. Garzo , J. W. Dufty

The Boltzmann equation for d-dimensional inelastic Maxwell models is considered to analyze transport properties in spatially inhomogeneous states close to the simple shear flow. A normal solution is obtained via a Chapman--Enskog--like…

统计力学 · 物理学 2009-11-13 Vicente Garzo

Molecular dynamics computer simulation has been used to compute the self-diffusion coefficient, and shear viscosity of soft-sphere fluids, in which the particles interact through the soft-sphere or inverse power pair potential. The…

软凝聚态物质 · 物理学 2010-03-22 Yu. D. Fomin , V. V. Brazhkin , V. N. Ryzhov

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