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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

The solution of Boltzmann equation for plasma in magnetic field, with arbitrarily degenerate electrons and non-degenerate nuclei, is obtained by Chapman-Enskog method. Functions, generalizing Sonin polynomials are used for obtaining an…

等离子体物理 · 物理学 2018-06-13 G. S. Bisnovatyi-Kogan , M. V. Glushikhina

The Navier-Stokes transport coefficients for a model of a confined quasi-two-dimensional granular gas of smooth inelastic hard spheres are derived from the Enskog kinetic equation. A normal solution to this kinetic equation is obtained via…

统计力学 · 物理学 2026-02-26 Vicente Garzó , Ricardo Brito , Rodrigo Soto

The Navier-Stokes transport coefficients of a granular gas are obtained from the Chapman-Enskog solution to the Boltzmann equation. The granular gas is heated by the action of an external driving force (thermostat) which does work to…

统计力学 · 物理学 2009-11-07 V. Garzo , J. M. Montanero

A polyatomic ideal gas with weak interaction between the translational and internal modes is considered. For the purpose of describing the behavior of such a gas, a Boltzmann equation is proposed in the form that the collision integral is a…

偏微分方程分析 · 数学 2026-03-31 Kazuo Aoki , Niclas Bernhoff

The Boltzmann equation for inelastic and rough hard spheres is considered as a model of a dilute granular gas. In this model, the collisions are characterized by constant coefficients of normal and tangential restitution and hence the…

统计力学 · 物理学 2014-09-03 Gilberto M. Kremer , Andrés Santos , Vicente Garzó

We derive microscopic expressions for the bulk viscosity, shear viscosity and thermal conductivity of a quantum degenerate Bose gas above $T_C$, the critical temperature for Bose-Einstein condensation. The gas interacts via a contact…

量子气体 · 物理学 2013-04-24 Erich D. Gust , L. E. Reichl

The goal of this note is to provide most of the technical details involved in the application of the Chapman-Enskog method to solve the revised Enskog equation to Navier-Stokes order. Explicit expressions for the transport coefficients and…

统计力学 · 物理学 2012-11-14 Vicente Garzó

The thermal transport properties of a two dimensional Fermi gas are explored, for the full range of temperatures and densities. The heat flux is established by solving the Uehling-Uhlebeck equation using a relaxation approximation given by…

统计力学 · 物理学 2020-01-29 A. R. Méndez , A. L. García-Perciante , G. Chacón-Acosta

A method is devised to measure the first-order Chapman-Enskog velocity distribution function associated with the heat flux in a dilute granular gas. The method is based on the application of a homogeneous, anisotropic velocity-dependent…

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

Transport coefficients are of crucial importance in theoretical as well as experimental studies. Despite substantial research on classical hard sphere/disk gases in low and high density regimes, a thorough investigation of transport…

统计力学 · 物理学 2020-08-04 Malihe Ghodrat

The complete set of transport coefficients for two dimensional relativistic degenerate gases is derived within a relaxation approximation in kinetic theory, by considering both the particle and energy frames. A thorough comparison between…

量子气体 · 物理学 2021-10-08 A. R. Mendez , A. L. Garcia-Perciante , G. Chacon-Acosta

The constitutive equations for the heat flux and the Navier tensor are established for a high temperature dilute gas in two spatial dimensions. The Chapman-Enskog procedure to first order in the gradients is applied in order to obtain the…

统计力学 · 物理学 2019-09-04 A. L. Garcia-Perciante , A. R. Méndez

The Enskog kinetic theory for moderately dense granular suspensions is considered as a model to determine the Navier-Stokes transport coefficients. The influence of the interstitial gas on solid particles is modeled by a viscous drag force…

统计力学 · 物理学 2019-09-09 Rubén Gómez González , Vicente Garzó

The Boltzmann equation for inelastic Maxwell models is used to determine the Navier-Stokes transport coefficients of a granular binary mixture in $d$ dimensions. The Chapman-Enskog method is applied to solve the Boltzmann equation for…

统计力学 · 物理学 2015-06-24 Vicente Garzo , Antonio Astillero

We calculate in this work the Navier-Stokes transport coefficients from the Boltzmann equation for $d$-dimensional inelastic Maxwell models. By granular gas we mean here a low density system of identical spheres that lose a fraction of…

统计力学 · 物理学 2015-06-18 Moisés G. Chamorro , Vicente Garzó , Francisco Vega Reyes

Transport properties of a suspension of solid particles in a viscous gas are studied. The dissipation in such systems arises from two sources: inelasticity in particle collisions and viscous dissipation due to the effect of the gas phase on…

软凝聚态物质 · 物理学 2016-01-28 Vicente Garzó , William D. Fullmer , Christine M. Hrenya , Xiaolong Yin

The transport coefficients of a multi-component hadronic gas at zero and non-zero baryon chemical potential are calculated using the Chapman-Enskog method. The calculations are done within the framework of an $S$-matrix based interacting…

核理论 · 物理学 2019-07-31 Ashutosh Dash , Subhasis Samanta , Bedangadas Mohanty

An Enskog-Landau kinetic equation for a many-component system of charged hard spheres is proposed. It has been obtained from the Liouville equation with modified boundary conditions by the method of nonequilibrium statistical operator. On…

等离子体物理 · 物理学 2007-05-23 A. E. Kobryn , I. P. Omelyan , M. V. Tokarchuk

The Boltzmann kinetic equation is considered to compute the transport coefficients associated with the mass flux of intruders in a granular gas. Intruders and granular gas are immersed in a gas of elastic hard spheres (molecular gas). We…

软凝聚态物质 · 物理学 2025-11-07 Rubén Gómez González , Vicente Garzó
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