Quantitative phase-field modeling of two-phase growth

Area of Science:

• Materials Science
• Computational Physics
• Chemical Engineering

Background:

• Phase-field models are crucial for simulating complex material phenomena like solidification.
• Existing models often struggle with quantitative accuracy and computational efficiency for multi-phase systems.
• Accurate modeling of eutectic and peritectic solidification is vital for controlling material properties.

Purpose of the Study:

• To develop a novel phase-field model for quantitative simulations of low-speed eutectic and peritectic solidification.
• To enhance computational efficiency by allowing larger interface thicknesses without sacrificing accuracy.
• To investigate deviations from classical theories at the solid-liquid-solid trijunction.

Main Methods:

• Development of a smooth free-energy functional ensuring phase purity.
• Application of thin-interface asymptotics and antitrapping currents to eliminate spurious corrections.
• Comparison of phase-field simulations with boundary-integral formulations.

Main Results:

• The model achieves quantitative accuracy for eutectic and peritectic solidification simulations.
• Significant computational gains are realized by using larger-than-physical interface thicknesses.
• Deviations from Young's law and finite angles at the trijunction are observed, suggesting new physical insights.

Conclusions:

• The developed phase-field model provides a robust and efficient tool for solidification research.
• The findings challenge standard assumptions in free-boundary problems, particularly concerning trijunction behavior.
• The model's ability to capture non-equilibrium effects at the atomic scale opens new avenues for materials design.