Kinetic theory of polydisperse granular mixtures: Influence of the partial temperatures on transport properties—A review

M García Chamorro, R Gómez González, V Garzó - Entropy, 2022 - mdpi.com
It is well-recognized that granular media under rapid flow conditions can be modeled as a
gas of hard spheres with inelastic collisions. At moderate densities, a fundamental basis for …

The mesoscopic dynamics of thermodynamic systems

D Reguera, JM Rubi, JMG Vilar - The Journal of Physical …, 2005 - ACS Publications
Concepts of everyday use such as energy, heat, and temperature have acquired a precise
meaning after the development of thermodynamics. Thermodynamics provides the basis for …

Homogeneous cooling state for a granular mixture

V Garzó, J Dufty - Physical Review E, 1999 - APS
The homogeneous cooling state for a binary mixture of inelastic hard spheres is studied
using the Enskog kinetic theory. In the same way as for the one-component fluid, we …

Inherent rheology of a granular fluid in uniform shear flow

A Santos, V Garzó, JW Dufty - Physical Review E—Statistical, Nonlinear, and …, 2004 - APS
In contrast to normal fluids, a granular fluid under shear supports a steady state with uniform
temperature and density since the collisional cooling can compensate locally for viscous …

Towards dense, realistic granular media in 2D

S Luding - Nonlinearity, 2009 - iopscience.iop.org
The development of an applicable theory for granular matter—with both qualitative and
quantitative value—is a challenging prospect, given the multitude of states, phases and …

Numerical modeling of geophysical granular flows: 1. A comprehensive approach to granular rheologies and geophysical multiphase flows

S Dartevelle - Geochemistry, Geophysics, Geosystems, 2004 - Wiley Online Library
Geophysical granular materials display a wide variety of behaviors and features. Typically,
granular flows (1) are multiphase flows,(2) are very dissipative over many different scales,(3) …

Recent development in kinetic theory of granular materials: analysis and numerical methods

JA Carrillo, J Hu, Z Ma, T Rey - Trails in Kinetic Theory: Foundational …, 2021 - Springer
Over the past decades, kinetic description of granular materials has received a lot of
attention in mathematical community and applied fields such as physics and engineering …

Hydrodynamic transport coefficients of granular gases

JJ Brey, D Cubero - Granular Gases, 2001 - Springer
Some transport properties of granular gases are investigated. Starting from a kinetic theory
level of description, the hydrodynamic transport equations to Navier-Stokes order are …

Transport coefficients of d-dimensional inelastic Maxwell models

A Santos - Physica A: Statistical Mechanics and its Applications, 2003 - Elsevier
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 …

Granular brownian motion

A Sarracino, D Villamaina, G Costantini… - Journal of Statistical …, 2010 - iopscience.iop.org
We study the stochastic motion of an intruder in a dilute driven granular gas. All particles are
coupled to a thermostat, representing the external energy source, which is the sum of …