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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…

Soft Condensed Matter · Physics 2007-05-23 James F. Lutsko

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…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , J. Javier Brey

We derive the form of the viscous corrections to the phase-space distribution function due to the bulk viscous pressure and shear stress tensor using the iterative Chapman-Enskog method. We then calculate the transport coefficients…

High Energy Physics - Phenomenology · Physics 2014-11-03 Amaresh Jaiswal , Radoslaw Ryblewski , Michael Strickland

When a gas of particles interacts with much a larger reservoir the density dynamics on large scales is typically governed by diffusion. We study this paradigmatic problem for weakly coupled integrable systems and show that this picture gets…

Statistical Mechanics · Physics 2026-01-13 Paweł Lisiak , Maciej Łebek , Miłosz Panfil

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

We present recent results on a systematic method to calculate transport coefficients for a meson gas (in particular, we analyze a pion gas) at low temperatures in the context of Chiral Perturbation Theory. Our method is based on the study…

High Energy Physics - Phenomenology · Physics 2009-04-16 D. Fernandez-Fraile , A. Gomez Nicola

We explore the possibility of describing the main transport properties of a granular gas by means of a model consisting of elastic hard spheres under the action of a drag force that mimics the inelastic cooling of the granular gas. Direct…

Statistical Mechanics · Physics 2007-05-23 Antonio Astillero , Andres Santos

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is performed to study the conditions for stability of a suspension of solid particles immersed in a viscous gas. The dissipation in such…

Statistical Mechanics · Physics 2017-03-28 Rubén Gómez González , Vicente Garzó

We present a general phase-space kinetic model for charged particle transport through combined localised and delocalised states, capable of describing scattering collisions, trapping, detrapping and losses. The model is described by a…

Statistical Mechanics · Physics 2016-09-14 Peter W. Stokes , Bronson Philippa , Daniel Cocks , Ronald D. White

Due to the mathematical complexity of the Boltzmann equation for inelastic hard spheres, a kinetic model has recently been proposed whereby the collision rate (which is proportional to the relative velocity for hard spheres) is replaced by…

Statistical Mechanics · Physics 2007-05-23 Andres Santos

Brownian motion in a granular gas in a homogeneous cooling state is studied theoretically and by means of molecular dynamics. We use the simplest first-principle model for the impact-velocity dependent restitution coefficient, as it follows…

Statistical Mechanics · Physics 2015-06-11 Anna Bodrova , Awadhesh Kumar Dubey , Sanjay Puri , Nikolai Brilliantov

A relativistic gas in a Schwarzschild metric is studied within the framework of a relativistic Boltzmann equation in the presence of gravitational fields, where Marle's model for the collision operator of the Boltzmann equation is employed.…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Gilberto M. Kremer

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…

Soft Condensed Matter · Physics 2011-12-19 K. Dimitrov , B. Radoev , R. Tsekov

We compute second order transport coefficients of the dilute Fermi gas at unitarity. The calculation is based on kinetic theory and the Boltzmann equation at second order in the Knudsen expansion. The second order transport coefficients…

Quantum Gases · Physics 2014-11-05 Thomas Schaefer

In this work we explicitly calculate the thermal conductivity for a general bidimensional dilute gas of neutral molecules by solving Boltzmann's equation. Chapman-Enskog's method is used in order to analytically obtain this transport…

Fluid Dynamics · Physics 2016-11-11 A. R. Méndez , A. L. Garcia-Perciante , E. S. Escobar-Aguilar

We derive the transport coefficients of second-order fluid dynamics with $14$ dynamical moments using the method of moments and the Chapman-Enskog method in the relaxation-time approximation for the collision integral of the relativistic…

Nuclear Theory · Physics 2022-10-18 Victor E. Ambrus , Etele Molnár , Dirk H. Rischke

Equations of motion for the microscopic number density $\hat{\rho}({\bf x},t)$ and the momentum density $\hat{\bf g}({\bf x},t)$ of a fluid have been obtained in the past from the corresponding Langevin equations representing the dynamics…

Statistical Mechanics · Physics 2015-06-15 Shankar P. Das , Akira Yoshimori

A numerical study is presented to analyze the thermal mechanisms of unsteady, supersonic granular flow, by means of hydrodynamic simulations of the Navier-Stokes granular equations. For this purpose a paradigmatic problem in granular…

Fluid Dynamics · Physics 2015-06-04 Lidia Almazán , José A. Carrillo , Clara Salueña , Vicente Garzó , Thorsten Poeschel

Motivated by the disagreement found at high dissipation between simulation data for the heat flux transport coefficients and the expressions derived from the Boltzmann equation by the standard first Sonine approximation [Brey et al., Phys.…

Statistical Mechanics · Physics 2007-05-23 V. Garzo , A. Santos , J. M. Montanero

We study a homogeneously driven granular gas of inelastic hard particles with rough surfaces subject to Coulomb friction. The stationary state as well as the full dynamic evolution of the translational and rotational granular temperatures…

Soft Condensed Matter · Physics 2015-06-24 Olaf Herbst , Raffaele Cafiero , Annette Zippelius , Hans Jürgen Herrmann , Stefan Luding
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