Lamelar Aggregation of Nanoparticles From a Frozen Liquid at the Sublimation Interface—Mathematical Modeling

Abstract

The integral form of the van der Waals interaction, which is described by the Hamaker potential, plays a dominant role in the mutual interactions of submicroparticles and nanoparticles released by the sublimation of water at the phase interface. Some of the experiments that used controlled sublimation technology have been described in our previous works [1][2][3]. Materials were selected for the study, for which the values of the Hamaker constant were available, necessary for further theoretical study of the process of self-organization. At the same time, the application potential for the preparation of materials with high specific surface area values was taken into account (Fig. 3.4). Such nanomaterials are suitable for sorption and catalytic processes. The technology of their preparation is protected by patents in several countries (CZ, USA, JP, EU, China and Russia) [4]. We state this fact mainly for the reason that the methodology of international patent research also guarantees the novelty of the mentioned issue and its technical solution. However, for a very specific formulation of technological know-how, a deeper understanding of the processes of self-organization is necessary, which will provide algorithms for the optimal setting of physical processes. At the same time, its mathematical modeling also proves to be a very powerful tool for studying the process of self-organization [5].