Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model

Area of Science:

• Materials Science
• Thermodynamics
• Solidification Science

Background:

• Morphological evolution during solid-liquid interface growth is complex.
• Understanding bifurcations in solidification requires advanced models.
• Traditional models show limitations in predicting interface instability.

Purpose of the Study:

• To introduce and validate the Maximum Entropy Production Rate-density (MEPR) model.
• To assess the MEPR model's ability to predict bifurcations during alloy solidification.
• To compare the MEPR model's predictions with experimental data and traditional models.

Main Methods:

• Review of a pre-publication arXiv preprint on maximum entropy generation.
• Comparison of MEPR model predictions with experimental observations of dilute alloys.
• Validation using solute diffusion coefficients in Pb-Sn alloys.
• Comparative analysis with historical solidification instability models (1953-2011).

Main Results:

• The MEPR model accurately predicts bifurcations in dilute alloys during solidification.
• A critical interface diffuseness for plane-front instability is predicted.
• MEPR shows good predictability for liquid diffusion coefficients, especially with small interface diffuseness.
• MEPR outperforms traditional interface breakdown models in predictive accuracy.

Conclusions:

• The MEPR model provides a novel and effective approach for understanding solidification morphology.
• The model successfully predicts interface instability and bifurcations.
• MEPR offers enhanced predictability compared to conventional methods in materials science.