Generalized Gibbs’ approach to the thermodynamics of heterogeneous systems and the kinetics of first-order phase transitions

In the theoretical interpretation of the kinetics of first-order phase transitions, thermodynamic concepts are widely employed that were developed long ago by Gibbs and van der Waals. However, the results of such analysis are partly unsatisfactory and internally contradictory. By generalizing Gibbs’ approach, the existing deficiencies and internal contradictions of these two well-established theories can be removed and a new generally applicable tool for the interpretation of these processes can be developed. The basic ideas of the generalized Gibbs approach and a variety of consequences obtained on its basis with respect to the understanding of the general features of the kinetics of first-order phase transitions are outlined. Dedicated to the memory of Vladimir P. Skripov. The text was submitted by the authors in English.