On the solute redistribution at thermally activated phase transition processes I. Theory

Growth rate at first-order phase transformation processes in multicomponent systems

“…However, as pointed in Ref. [11] and throughout this paper Eq. (1b) alone is not sufficient for this purpose.…”

“…[11]. Instead of using the Gibbs energies and its derivatives, the alternative approach uses only the chemical potentials of the involved in the phase transition phases and components.…”

“…(A.1), does not show how the accumulated energy DG ba is distributed between DG ba E and DG ba v : In Ref. [11], it was proposed to solve this problem by using the principle of least dissipation of energy (Thomson, Onsager, Prigogine [12][13][14][15]). Within the scope of the present work, this principle reads: The free energy dissipated by the system for the formation of the new phase boundary, solute redistribution, etc, stays minimal during the whole time of the phase transition process.…”

“…The development of a physically feasible theory of first-order phase transformation processes, capable to predict the transformation rate as function of the composition of parent and transformed phases in multicomponent systems, is a topic of constant interest, because of the importance of these processes to the practice [1][2][3][4][5][6][7][8][9][10][11]. This interest led to the development of different approaches to the problem, which vary from simple to very complicated models.…”

“…In order to meet these requirements, one of us proposed a new approach to the problem [11] (see also Appendix A), based on the principle of least dissipation of energy (formulated by Thomson and extended by Onsager and Prigogine [12][13][14]) and the Turnbull's kinetic theory of crystal growth [13] (see Appendix B). The utilisation of these two theories resulted in a set of equations [11]: qDG a qx a …”