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Transport properties of dense fluids are fundamentally challenging, because the powerful approaches of equilibrium statistical physics cannot be applied. Polar fluids compound this problem, because the long-range interactions preclude the…

Soft Condensed Matter · Physics 2020-06-16 Faezeh Pousaneh , Astrid S. de Wijn

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…

Statistical Mechanics · Physics 2015-06-24 Vicente Garzo , Antonio Astillero

A kinetic model for the Boltzmann equation is proposed and explored as a practical means to investigate the properties of a dilute granular gas. It is shown that all spatially homogeneous initial distributions approach a universal…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , Aparna Baskaran , Lorena Zogaib

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…

Statistical Mechanics · Physics 2026-02-26 Vicente Garzó , Ricardo Brito , Rodrigo Soto

Shear viscosity $\eta$ is calculated for the nuclear matter described as a system of interacting nucleons with the van der Waals (VDW) equation of state. The Boltzmann-Vlasov kinetic equation is solved in terms of the plane waves of the…

Nuclear Theory · Physics 2016-11-30 A. G. Magner , M. I. Gorenstein , U. V. Grygoriev , V. A. Plujko

We investigate the temperature dependence of the shear viscosity and spin diffusion in a two-dimensional Fermi gas with contact interactions, as realized in ultra-cold atomic gases. We describe the transport coefficients in terms of a…

Quantum Gases · Physics 2012-07-16 Tilman Enss , Carolin Küppersbusch , Lars Fritz

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is carried out to identify the conditions for stability of a granular gas of rough hard spheres. The description is based on the results…

Soft Condensed Matter · Physics 2018-05-10 Vicente Garzó , Andrés Santos , Gilberto M. Kremer

In this letter, following an extensive experimental validation, we perform constant-volume shearing simulations of non-Brownian granular suspensions using the discrete element method coupled with the lattice Boltzmann method. We choose a…

Soft Condensed Matter · Physics 2023-07-18 Zaohui Zhang , Teng Man , Herbert E. Huppert , Sergio Andres Galindo-Torres

Among the key features of hot and dense QCD matter produced in ultra-relativistic heavy-ion collisions at RHIC is its very low shear viscosity, indicative of the properties of a near-ideal fluid, and a large opacity demonstrated by jet…

Nuclear Theory · Physics 2010-12-09 John Fuini , Nasser S. Demir , Dinesh K. Srivastava , Steffen A. Bass

The shear viscosity of QED plasma at finite temperature and density is calculated by solving Boltzmann equation with variational approach. The result shows the small chemical potential enhances the viscosity in leading-log order by adding a…

High Energy Physics - Theory · Physics 2011-09-13 Hui Liu , Defu Hou , Jiarong Li

The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic…

Statistical Mechanics · Physics 2020-04-22 J. Javier Brey , P. Maynar , M. I. García de Soria

We consider the problem of determining the granular temperatures of the components of a homogeneous binary heated mixture of inelastic hard spheres, in the framework of Enskog kinetic theory. Equations are derived for the temperatures of…

Statistical Mechanics · Physics 2007-05-23 A. Barrat , E. Trizac

The Boltzmann equation for inelastic Maxwell models is considered to determine the rheological properties in a granular binary mixture in the simple shear flow state. The transport coefficients (shear viscosity and viscometric functions)…

Statistical Mechanics · Physics 2010-12-22 Vicente Garzo , Emmanuel Trizac

A theoretical framework for the calculation of shear and bulk viscosities of hadronic matter at finite temperature is presented. The framework is based on the quasi-particle picture. It allows for an arbitrary number of hadron species with…

Nuclear Theory · Physics 2011-02-01 P. Chakraborty , J. I. Kapusta

The Boltzmann kinetic equation for dilute granular suspensions under simple (or uniform) shear flow (USF) is considered to determine the non-Newtonian transport properties of the system. In contrast to previous attempts based on a…

Soft Condensed Matter · Physics 2024-03-18 Rubén Gómez González , Vicente Garzó

The analytical expressions of the shear viscosity of both one and two particle species with Boltzmann statistics and $2 \rightarrow 2$ elastic scatterings are known from the Chapman-Enskog method and have been shown to be quite accurate.…

High Energy Physics - Phenomenology · Physics 2026-02-10 Okey Ohanaka , Zi-Wei Lin

The decay of a small homogeneous perturbation of the temperature of a dilute granular gas in the steady uniform shear flow state is investigated. Using kinetic theory based on the inelastic Boltzmann equation, a closed equation for the…

Statistical Mechanics · Physics 2012-12-18 J. Javier Brey , P. Maynar , M. I. Garcia de Soria

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…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

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…

Plasma Physics · Physics 2007-05-23 A. E. Kobryn , I. P. Omelyan , M. V. Tokarchuk

A model kinetic equation is solved exactly for a special stationary state describing nonlinear Couette flow in a low density system of inelastic spheres. The hydrodynamic fields, heat and momentum fluxes, and the phase space distribution…

Statistical Mechanics · Physics 2016-08-15 M. Tij , E. E. Tahiri , J. M. Montanero , V. Garzó , A. Santos , J. W. Dufty