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Phase-Field Models

Phase-Field Model

Cahn-Allen Equation

Ordering in a BCC Binary Alloy

Parameter Identification

Phase-Field Model

Free Energy Function

Phase-Field Equations

Sharp Interface Asymptotics

Slide 12

Anisotropic Equilibrium Shapes

Slide 14

Slide 15

Diffuse Interface Formulation

Corners & Edges In Phase-Field

Corners/Edges

Corners and Edges

Slide 20

Cahn-Hilliard Equation

Phase Field Equations - Alloy

Slide 23

W. George & J. Warren (2001)

Surface Adsorption

Surface Adsorption

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Solute Trapping

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Ordering in an FCC Binary Alloy

Free Energy Functional

Equilibrium States in FCC

Wetting in Multiphase Systems

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Monotectic Binary Alloy

Slide 41

Nucleation in L1 and incorporation of L2 into solid

Slide 43

Superconformal Electrodeposition

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Conclusions

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Slide 52

-Tensor Derivation