Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-07-05
27th International Symposium on Rarefied Gas Dynamics, AIP Conference Proceedings, vol. 1333, Melville, NY, 2011, pp. 128-133
Physics
Condensed Matter
Soft Condensed Matter
6 pages; 4 figures; contributed talk at the 27th International Symposium on Rarefied Gas Dynamics (Asilomar Conference Grounds
Scientific paper
10.1063/1.3562637
In a recent paper [A. Santos, G. M. Kremer, and V. Garz\'o, \emph{Prog. Theor. Phys. Suppl.} \textbf{184}, 31-48 (2010)] the collisional energy production rates associated with the translational and rotational granular temperatures in a granular fluid mixture of inelastic rough hard spheres have been derived. In the present paper the energy production rates are explicitly decomposed into equipartition rates (tending to make all the temperatures equal) plus genuine cooling rates (reflecting the collisional dissipation of energy). Next the homogeneous free cooling state of a binary mixture is analyzed, with special emphasis on the quasi-smooth limit. A previously reported singular behavior (according to which a vanishingly small amount of roughness has a finite effect, with respect to the perfectly smooth case, on the asymptotic long-time translational/translational temperature ratio) is further elaborated. Moreover, the study of the time evolution of the temperature ratios shows that this dramatic influence of roughness already appears in the transient regime for times comparable to the relaxation time of perfectly smooth spheres.
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