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Thermal diffusion segregation of an impurity in a driven granular fluid
We study segregation of an impurity in a driven granular fluid under two
types of \emph{steady} states. In the first state, the granular gas is driven
by a stochastic volume force field with a Fourier-type profile while in the
second state, the granular gas is sheared in such a way that inelastic cooling
is balanced by viscous heating. We compare theoretical results derived from a
solution of the (inelastic) Boltzmann equation at Navier-Stokes (NS) order with
those obtained from the Direct Monte Carlo simulation (DSMC) method and
molecular dynamics (MD) simulations. Good agreement is found between theory and
simulation, which provides strong evidence of the reliability of NS granular
hydrodynamics for these steady states (including the dynamics of the impurity),
even at high inelasticities. In addition, preliminary results for thermal
diffusion in granular fluids at moderate densitis are also presented. As for
dilute gases \cite{VGK14}, excellent agreement is also found in this more
general case.Comment: 6 pages; 4 figures; contributed paper at the 29th International
Symposium on Rarefied Gas Dynamics (Xi'an, China, July 13-18th, 2012); 29th
International Symposium on Rarefied Gas Dynamics 201
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