Unveiling the non-equilibrium process in multilayer mixture adsorption

The Brunauer-Emmett-Teller (BET) theory [S. Brunauer et al., "Adsorption of gases in multimolecular layers," J. Am. Chem. Soc. 60, 309-319 (1938)] constitutes a cornerstone in gas-adsorption physics. Recently, the kinetic BET equation of single-kind adsorbate has been proposed [H. Yu and X. Zhang, "Molecular-kinetic study of multilayers gas-adsorption in a rarefied gas environment," Phys. Fluids 34, 123106 (2022)], while its counterpart of mixed adsorbates is currently unknown. Gas mixtures are commonly found in both natural and artificial systems. To address this limitation, we have proposed a kinetic BET theory for adsorbate mixtures in this paper. Moreover, we gave an analytical solution addressing low gas pressure conditions. In this condition, we predicted the "over-adsorption" of one species in the mixture with a higher desorption rate over time, and the "inertia effect" during the crowed-out process of the fast-desorbing species. Further, we also simulated the reciprocal influence of multilayer gas adsorption on the non-equilibrium fluids. Our findings provide valuable insights into gas-adsorption experiments and can facilitate technological advancements.