Abyzov A. Generalized Gibbs’ approach in nucleation theory

In the dissertation work, a new theory of nucleation, generalized Gibbs approach, was developed, within the framework of which the homogeneous and heterogeneous nucleation of a new phase was studied using the example of a binary regular solution, van der Waals liquid, liquid mercury upon adsorbing a proton beam and creating a pore upon crystallization of a diopside melt. According to this analysis, size and composition of the clusters of the newly evolving phase change in an unexpected way which is qualitatively different as compared to the classical picture of nucleation-growth processes. As shown, nucleation (i.e., the first stage of cluster formation starting from metastable initial states) exhibits properties resembling spinodal decomposition (the size remains nearly constant while the composition changes) although the presence of an activation barrier distinguishes the nucleation process from true spinodal decomposition. In addition, it is shown that phase formation both in metastable and unstable initial states near the classical spinodal may proceed via a passage of a ridge of the thermodynamic potential with a finite work of the activation barrier even though (for unstable initial states) the value of the work of critical cluster formation (corresponding to the saddle point of the thermodynamic potential) is zero. This way, it turns out that nucleation concepts – in a modified form as compared with the classical picture – may govern also phase formation processes starting from unstable initial states. In contrast to the classical Gibbs’ approach, the generalized Gibbs’ method provides a description of phase changes both in binodal and spinodal regions of the phase diagram and confirms the point of view assuming a continuity of the basic features of the phase transformation kinetics in the vicinity of the classical spinodal curve. It is shown as well that, employing the generalized Gibbs approach, contact angle and catalytic activity factor for heterogeneous nucleation (factor of decreasing the work of formation of a cluster of critical size due to the solid surface) become dependent on the degree of metastability (supersaturation, undercooling or superheating) of the solution.