Computer simulations of an impurity in a granular gas under planar Couette flow

Details Computer simulations of an impurity in a granular gas under planar Couette flow Computer simulations of an impurity in a granular gas under planar Couette flow

2011-05-09

arxiv.org/abs/1105.1742v2

J. Stat. Mech., P07005 (2011)

Physics

Condensed Matter

Soft Condensed Matter

23 pages, 11 figures; v2: minor changes

Scientific paper

10.1088/1742-5468/2011/07/P07005

We present in this work results from numerical solutions, obtained by means of the direct simulation Monte Carlo (DSMC) method, of the Boltzmann and Boltzmann--Lorentz equations for an impurity immersed in a granular gas under planar Couette flow. The DSMC results are compared with the exact solution of a recent kinetic model for the same problem. The results confirm that, in steady states and over a wide range of parameter values, the state of the impurity is enslaved to that of the host gas: it follows the same flow velocity profile, its concentration (relative to that of the granular gas) is constant in the bulk region, and the impurity/gas temperature ratio is also constant. We determine also the rheological properties and nonlinear hydrodynamic transport coefficients for the impurity, finding a good semi-quantitative agreement between the DSMC results and the theoretical predictions.

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