Thermodynamics of the consolidation of nanoparticles and a macrowparticle

The thermodynamic study of the particle consolidation process in a system consisting of nanoparticles, inclusions of macroparticles, and mobile phase (gas, vapor, liquid) has been conducted. The thermodynamic functions describing this process have been derived. The conditions have been established, under which the process of consolidation proceeds to the end; the conditions, under which the process does not take place in terms of thermodynamics; and the conditions, under which only certain phases consolidate. It has been shown that in this system there are diffusion flows of the substance from nanoparticles to the macrophase. The conditions have been defined, under which a nanoparticle or a group of nanoparticles can be in an equilibrium state and maintain the size and shape arbitrarily long.