Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations

DOI10.1016/J.JCP.2010.05.013zbMath1198.82025OpenAlexW2144296280MaRDI QIDQ995273

Qiang Du, Long-Qing Chen, Lei Zhang

Publication date: 13 September 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.05.013

zbMATH Keywords

elasticitynucleationphase-fielddiffuse-interfaceconstrained string methodcritical nucleuscubic to tetragonal transformation

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Statistical mechanics of solids (82D20) Critical phenomena in equilibrium statistical mechanics (82B27)

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Cites Work

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• Mathematical and numerical aspects of a phase-field approach to critical nuclei morphology in solids
• Microstructural evolution in inhomogeneous elastic media
• A numerical method for the study of nucleation of ordered phases
• Kinetics of phase transitions in two dimensional Ising models studied with the string method
• Applications of semi-implicit Fourier-spectral method to phase field equations
• A constrained string method and its numerical analysis
• Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
• Simultaneous Prediction of Morphologies of a Critical Nucleus and an Equilibrium Precipitate in Solids

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