The shape of dendritic tips

DOI10.1098/rsta.2019.0243zbMath1462.82044OpenAlexW3015376245WikidataQ91835323 ScholiaQ91835323MaRDI QIDQ4994587

P. K. Galenko, Dmitri V. Alexandrov

Publication date: 20 June 2021

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10995/92660

zbMATH Keywords

boundary integral methodphase transformationsmaterials sciencedendritesmathematical physicsheat and mass transfersolid-state physicsdendritic tips

Mathematics Subject Classification ID

Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

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Cites Work

• Crystal growth of pure substances: phase-field simulations in comparison with analytical and experimental results
• Boundary integral approach for propagating interfaces in a binary non-isothermal mixture
• Thermo-solutal and kinetic modes of stable dendritic growth with different symmetries of crystalline anisotropy in the presence of convection
• The boundary integral theory for slow and rapid curved solid/liquid interfaces propagating into binary systems
• Quantitative phase-field modeling of dendritic growth in two and three dimensions
• Boundary integral methods for multicomponent fluids and multiphase materials.
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