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Granular gases demand models capable of capturing their distinct characteristics. The widely employed inelastic hard-sphere model (IHSM) introduces complexities that are compounded when incorporating realistic features like surface…

软凝聚态物质 · 物理学 2024-06-21 Andrés Santos , Gilberto M. Kremer

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…

等离子体物理 · 物理学 2015-06-11 Scott D. Baalrud , Jerome Daligault

The existing kinetic theory of gases is based on an analytical approach that becomes intractable for all but the simplest molecules. Here we propose a simple numerical scheme to compute the transport properties of molecular gases in the…

软凝聚态物质 · 物理学 2020-08-25 Xipeng Wang , Simón Ramírez-Hinestrosa , Daan Frenkel

Direct Monte Carlo simulations of the Enskog-Boltzmann equation for a spatially uniform system of smooth inelastic spheres are performed. In order to reach a steady state, the particles are assumed to be under the action of an external…

统计力学 · 物理学 2016-08-31 J. M. Montanero , A. Santos

The transport coefficients for a gas of smooth, inelastic hard spheres are obtained from the Boltzmann equation in the form of Green-Kubo relations. The associated time correlation functions are not simply those constructed from the fluxes…

统计力学 · 物理学 2015-06-24 James W. Dufty , J. Javier Brey

A study of the transport coefficients of a system of elastic hard disks, based on the use of Helfand-Einstein expressions is reported. The self-diffusion, the viscosity, and the heat conductivity are examined with averaging techniques…

统计力学 · 物理学 2016-08-16 Ramón García-Rojo , Stefan Luding , J. Javier Brey

The eigenfunctions and eigenvalues of the linearized Boltzmann equation for inelastic hard spheres (d=3) or disks (d=2) corresponding to d+2 hydrodynamic modes, are calculated in the long wavelength limit for a granular gas. The transport…

统计力学 · 物理学 2009-11-10 James W. Dufty , J. Javier Brey

The transport coefficients of a granular fluid driven by a stochastic bath with friction are obtained by solving the inelastic Enskog kinetic equation from the Chapman-Enskog method. The heat and momentum fluxes as well as the cooling rate…

统计力学 · 物理学 2017-01-05 V. Garzó , M. G. Chamorro , F. Vega Reyes

This paper presents a molecular dynamics simulation of an inelastic gas, where collisions between molecules are characterized by a coefficient of restitution less than unity. The simulation employs an event-driven algorithm to efficiently…

计算物理 · 物理学 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

Non-Newtonian transport properties of an inertial suspension of inelastic rough hard spheres under simple shear flow are determined from the Boltzmann kinetic equation. The influence of the interstitial gas on rough hard spheres is modeled…

统计力学 · 物理学 2020-07-30 Rubén Gómez González , Vicente Garzó

Many features of granular media can be modeled by a fluid of hard spheres with inelastic collisions. Under rapid flow conditions, the macroscopic behavior of grains can be described through hydrodynamic equations accounting for dissipation…

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

A lattice version of the driven inelastic Maxwell gas is studied in one dimension with periodic boundary conditions. Each site $i$ of the lattice is assigned with a scalar `velocity', $v_i$. Nearest neighbors on the lattice interact, with a…

统计力学 · 物理学 2017-03-10 V. V. Prasad , Sanjib Sabhapandit , Abhishek Dhar , Onuttom Narayan

Dynamical symmetries of the collisionless Boltzmann transport equation, or Vlasov equation, but under the influence of an external driving force, are derived from non-standard representations of the $2D$ conformal algebra. In the case…

数学物理 · 物理学 2015-09-08 Stoimen Stoimenov , Malte Henkel

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

The Maxwell approach from electrostatics is applied for calculation of transport coefficients in composites. The viscosity of a dilute emulsion is obtained as a function of the volume fraction of dispersed phase. The derived new formula is…

软凝聚态物质 · 物理学 2011-12-19 K. Dimitrov , B. Radoev , R. Tsekov

A model polydisperse fluid represents many real fluids such as colloidal suspensions and polymer solutions. In this study, considering a concentrated size-polydisperse hard sphere fluid with size derived from two different distribution…

软凝聚态物质 · 物理学 2022-11-23 Thokchom Premkumar Meitei , Lenin S. Shagolsem

The revised Enskog approximation for a fluid of hard spheres which lose energy upon collision is discussed for the case that the energy is lost from the normal component of the velocity at collision but is otherwise arbitrary. Granular…

软凝聚态物质 · 物理学 2007-05-23 James F. Lutsko

In this paper, a physics-oriented stochastic kinetic scheme will be developed that includes random inputs from both flow and electromagnetic fields via a hybridization of stochastic Galerkin and collocation methods. Based on the BGK-type…

计算物理 · 物理学 2021-03-17 Tianbai Xiao , Martin Frank

The mass flux of a low-density granular binary mixture obtained previously by solving the Boltzmann equation by means of the Chapman-Enskog method is considered further. As in the elastic case, the associated transport coefficients $D$,…

统计力学 · 物理学 2013-06-27 Vicente Garzó , J. Aaron Murray , Francisco Vega Reyes

We analyze the deviations from Maxwell-Boltzmann statistics found in recent experiments studying velocity distributions in two-dimensional granular gases driven into a non-equilibrium stationary state by a strong vertical vibration. We show…

统计力学 · 物理学 2009-11-07 Alain Barrat , Emmanuel Trizac