Theoretical and Mathematical Physics

Phase transformations in single-component multiphase systems: phase-field approach

V. G. Lebedev

Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences, 426067 Izhevsk, Russia

Abstract: The problems of constructing a multiphase model of the phase field for the processes of phase transitions of the first kind are considered. Based on the Gibbs energy of the complete system expressed in terms of antisymmetrized combinations of phase fields, it is shown that the equations of dissipative dynamics of a locally nonequilibrium system follow from the condition of its monotonic decrease, preserving the normalization of the sum of variables by one and the following properties of the previously known two-phase model.

Keywords: multiphase systems, phase transformations, locally nonequilibrium processes, dissipative systems with constraints.

Received: 12.07.2021
Revised: 08.11.2021
Accepted: 12.11.2021

DOI: 10.21883/jtf.2022.02.52007.215-21

Bibliographic databases:

•