  The kinetic granular temperatures of a binary granular mixture in simple
shear flow are determined from the Boltzmann kinetic theory by using a Sonine
polynomial expansion. The results show that the temperature ratio is clearly
different from unity (as may be expected since the system is out of
equilibrium) and strongly depends on the restitution coefficients as well as on
the parameters of the mixture. The approximate analytical calculations are
compared with those obtained from Monte Carlo simulations of the Boltzmann
equation showing an excellent agreement over the range of parameters
investigated. Finally, the influence of the temperature differences on the
rheological properties is also discussed.
