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A collisional model of a confined quasi-two-dimensional granular mixture isconsidered to analyze homogeneous steady states. The model includes aneffective mechanism to transfer the kinetic energy injected by vibration in thevertical direction to the horizontal degrees of freedom of grains. The set ofEnskog kinetic equations for the velocity distribution functions of eachcomponent is derived first to analyze the homogeneous state. As in theone-component case, an exact scaling solution is found where the timedependence of the distribution functions occurs entirely through the granulartemperature $T$. As expected, the kinetic partial temperatures $T_i$ of eachcomponent are different and hence, energy equipartition is broken down. In thesteady state, explicit expressions for the temperature $T$ and the ratio ofpartial kinetic temperatures $T_i/T_j$ are obtained by considering Maxwelliandistributions defined at the partial temperatures $T_i$. The (scaled) granulartemperature and the temperature ratios are given in terms of the coefficientsof restitution, the solid volume fraction, the (scaled) parameters of thecollisional model, and the ratios of mass, concentration, and diameters. In thecase of a binary mixture, the theoretical predictions are exhaustively comparedwith both direct simulation Monte Carlo and molecular dynamics simulations witha good agreement. The deviations are identified to be originated in thenon-Gaussianity of the velocity distributions and on microsegregation patterns,which induce spatial correlations not captured in the Enskog theory.

Energy nonequipartition in a collisional model of a confined quasi-two-dimensional granular mixture