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Explicit Dynamics of Diffuse Interface in Phase‐Field Model
Author(s) -
Yang Chao,
Huang Houbing,
Liu Wenbo,
Wang Junsheng,
Wang Jing,
Jafri Hasnain Mehdi,
Liu Yu,
Han Guomin,
Song Haifeng,
Chen LongQing
Publication year - 2021
Publication title -
advanced theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.068
H-Index - 17
ISSN - 2513-0390
DOI - 10.1002/adts.202000162
Subject(s) - curvature , field (mathematics) , phase (matter) , phase transition , transformation (genetics) , dynamics (music) , mechanics , statistical physics , materials science , physics , classical mechanics , thermodynamics , chemistry , mathematics , geometry , biochemistry , gene , acoustics , pure mathematics , quantum mechanics
Interfaces play an important role during phase transition and interfacial chemical reactions. In this paper, three different methods are introduced to analyze the explicit dynamics of the diffuse interface by means of phase‐field model, and these methods are based on three independent perspectives: non‐dispersive propagation of the interfacial waveform, the flux density and sources/sinks analysis of continuity equation, and the moving interfacial coordinate transformation. These theoretical derivations not only present the relationship between the diffuse interfacial velocity and the effect of driving force and interfacial curvature, but also clarify the equivalent method between the phase‐field dynamics and the sharp‐interfacial dynamics, which reveals the physical meaning of the diffuse interfacial dynamical equation from different perspectives. The present study advances the understanding of the interfacial phase transition and provides theoretical insights for the phase‐field model and numerical simulation.