Correspondence between a phase-field theory and a sharp-interface theory for crystal growth

DOI10.1007/s001610050054zbMath0890.73008OpenAlexW2010366298MaRDI QIDQ1370452

Eliot Fried

Publication date: 14 July 1998

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2142/112524

zbMATH Keywords

orientation dependencematched asymptotic analysiscrystalline surface energy densitycrystalline surface mobility

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Statistical mechanics of crystals (82D25)

Related Items (3)

Phase transitions in materials with thermal memory ⋮ Transition and separation process in brine channels formation ⋮ Sharp-interface and phase-field theories of recrystallization in the plane

Cites Work

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• Anisotropic fluids
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• Generation and propagation of interfaces for reaction-diffusion equations
• The dynamics of solid-solid phase transitions. I: Coherent interfaces
• Continuum theory of thermally induced phase transitions based on an order parameter
• The nature of configurational forces
• A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy
• Fast Reaction, Slow Diffusion, and Curve Shortening
• Phase transitions and generalized motion by mean curvature

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