The aim of this work is to study the organisation of the distributed system and the influence of adsorption and agglomeration phenomena in a dry bi-phase mixture. The studied system is a mixture of silica and carbonate. The parameter of interest is particle size. With the crossover of different fractions of silica and carbonate, it is possible to build a dimensional chessboard and then study the role of dimension in the organisation. of distributed system. In these mixtures, several combinations are possible following the particle size. These combinations result from agglomeration and adsorption mechanisms. It is necessary to distinguish self-attractive phenomena (self-agglomeration and self-adsorption) that concern particles of same chemical composition, and inter-attractive phenomena (inter-agglomeration and inter-adsorption) that concern particles of different chemical compositions. The reactivity of the different mixtures treated thermally at 850 degreesC is measured by X-ray diffraction (DRX). It is estimated by the quantity of produced phases. Then this reactivity is explained by the different attractive phenomena studied.