On the statistical physics of finite multilayer adsorption model on gaseous phase

The grand canonical ensemble in statistical physics has enabled us to develop a theoretical model that is an interesting application for adsorption in gaseous phase. The present approach turns out that is promising to the characterization to the adsorbent material surface. Indeed, the theoretical model contains physicochemical parameters that enable us a detailed investigation of the adsorption process. Particularly, our model allows the study of anchorage effect, the receptor sites densities at the adsorbent surface, the number of adsorbed layers and this is possible form the adsorption isotherms. All these parameters reached via a numerical simulation of the experimental adsorption isotherms, allow us to well describe and understand the physical process at molecular level. Modeling of adsorption isotherms has to offer microscopic interpretations for energy storage. The configurational entropy at various temperatures has been studied. This parameter allowed to deduce some results related to the evolution of the disorder during the adsorption process.