Open AccessSimulations for a New Phase-Field Model for Phase Transitions Driven by Configurational Forces
Author(s) -
Mei Chen
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1622/1/012074
Subject(s) - isotropy , field (mathematics) , phase (matter) , boundary value problem , phase transition , statistical physics , mathematics , physics , mathematical analysis , thermodynamics , optics , quantum mechanics , pure mathematics
In this paper, we shall investigate an initial (Neumann-) boundary value problem for a phase-field model proposed about a decade ago by Alber and Zhu to describe structural phase transitions driven by configurational forces, and this model differs from the famous Allen-Cahn model by a non-smooth term of the gradient of an order parameter. Numerical examples show that how the total energy for the Alber-Zhu model evolves with different values of the mobility coefficient and isotropic interfacial energy coefficient. Also a numerical comparison with the Allen-Cahn model shows that solutions to the Alber-Zhu model reach their equilibrium much faster than those to the Allen-Cahn model, moreover, the algorithms are more stable.