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An impurity particle coupling to its host fluid via inelastic hard sphere collisions is considered. It is shown that the exact equation for its distribution function can be mapped onto that for an impurity with elastic collisions and an…

Statistical Mechanics · Physics 2007-05-23 A. Santos , J. W. Dufty

We compute the shear viscosity at leading order in hot Quantum Electrodynamics. Starting from the Kubo relation for shear viscosity, we use diagrammatic methods to write down the appropriate integral equations for bosonic and fermionic…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. -S. Gagnon , S. Jeon

Tracer diffusion in a granular gas in simple shear flow is analyzed. The analysis is made from a perturbation solution of the Boltzmann kinetic equation through first order in the gradient of the mole fraction of tracer particles. The…

Statistical Mechanics · Physics 2009-11-07 Vicente Garzo

The ratio of shear viscosity ($\eta$) to entropy density ($s$) for an equilibrated system is investigated in intermediate energy heavy ion collisions below 100$A$ MeV within the framework of the Boltzmann-Uehling-Uhlenbeck (BUU) model .…

Nuclear Theory · Physics 2011-09-01 S. X. Li , D. Q. Fang , Y. G. Ma , C. L. Zhou

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…

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

The relation of the shear viscosity coefficient to the recently introduced transport rate is derived within relativistic kinetic theory. We calculate the shear viscosity over entropy ratio \eta/s for a gluon gas, which involves elastic gg->…

Nuclear Theory · Physics 2008-11-26 Zhe Xu , Carsten Greiner

A simple kinetic theory to exhibit a discontinuous shear thickening (DST) is proposed. The model includes the collision integral and the friction from environment as well as a thermostat term characterized by $T_{\rm ex}$. The viscosity of…

Soft Condensed Matter · Physics 2017-07-03 Hisao Hayakawa , Satoshi Takada

The inhomogeneous cooling state describing the hydrodynamic behavior of a freely evolving granular gas strongly confined between two parallel plates is studied, using a Boltzmann kinetic equation derived recently. By extending the idea of…

Statistical Mechanics · Physics 2019-12-20 J. Javier Brey , M. I. García de Soria , P. Maynar

The Enskog-Landau kinetic equation is considered to describe non-equilibrium processes of a mixture of charged hard spheres. This equation has been obtained in our previous papers by means of the non-equilibrium statistical operator method.…

Plasma Physics · Physics 2007-05-23 A. E. Kobryn , M. V. Tokarchuk , Y. A. Humenyuk

We present a series of experimental investigations on binary mixtures of Bose-Einstein condensates. Our focus lies on the regime where the interaction parameters place the system at the threshold of miscibility. We demonstrate that the…

Quantum Gases · Physics 2025-12-09 Franco Rabec , Jérôme Beugnon , Jean Dalibard , Sylvain Nascimbene

Diffusion of impurities in a granular gas undergoing homogeneous cooling state is studied. The results are obtained by solving the Boltzmann--Lorentz equation by means of the Chapman--Enskog method. In the first order in the density…

Statistical Mechanics · Physics 2009-11-10 V. Garzo , J. M. Montanero

A collisional model of a confined quasi-two-dimensional granular mixture is considered to analyze homogeneous steady states. The model includes an effective mechanism to transfer the kinetic energy injected by vibration in the vertical…

Statistical Mechanics · Physics 2020-12-30 Ricardo Brito , Rodrigo Soto , Vicente Garzó

Eighty years ago Eyring proposed that the shear viscosity of a liquid, $\eta$, has a quantum limit $\eta \gtrsim n\hbar$ where $n$ is the density of the fluid. Using holographic duality and the AdS/CFT correspondence in string theory…

Strongly Correlated Electrons · Physics 2015-09-30 Nandan Pakhira , Ross H. McKenzie

In this paper, we consider the spatially inhomogeneous diffusively driven inelastic Boltzmann equation in different cases: the restitution coefficient can be constant or can depend on the impact velocity (which is a more physically relevant…

Analysis of PDEs · Mathematics 2015-12-04 Isabelle Tristani

We calculate for the first time the shear viscosity of ultrarelativistic Boson systems in the presence of a Bose-Einstein condensate (BEC). Two different methods are used. One is the Grad's method of moments and another is the Green-Kubo…

High Energy Physics - Phenomenology · Physics 2019-11-19 Zhengyu Chen , Carsten Greiner , Zhe Xu , Pengfei Zhuang

The shear viscosity of hot nuclear matter is investigated by using the mean free path method within the framework of IQMD model. Finite size nuclear sources at different density and temperature are initialized based on the Fermi-Dirac…

Nuclear Theory · Physics 2014-04-29 D. Q. Fang , Y. G. Ma , C. L. Zhou

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is carried out to identify the conditions for stability as functions of the wave vector, the dissipation, and the density. In contrast…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

An overview of recent results pertaining to the hydrodynamic description (both Newtonian and non-Newtonian) of granular gases described by the Boltzmann equation for inelastic Maxwell models is presented. The use of this mathematical model…

Soft Condensed Matter · Physics 2011-08-30 V. Garzó , A. Santos

Segregation by thermal diffusion of an intruder immersed in a sheared granular gas is analyzed from the (inelastic) Boltzmann equation. Segregation is induced by the presence of a temperature gradient orthogonal to the shear flow plane and…

Statistical Mechanics · Physics 2015-05-18 Vicente Garzó , Francisco Vega Reyes

The leading order "temperature" of a dense two dimensional granular material fluidised by external vibrations is determined. An asymptotic solution is obtained where the particles are considered to be elastic in the leading approximation.…

Soft Condensed Matter · Physics 2009-10-31 P. Sunthar , V. Kumaran
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