REFERENCES
1. Kurz, W.; Fisher, D. J. Fundamentals of solidification; 3rd ed.; Trans Tech Publications Ltd., 1992. https://www.researchgate.net/publication/285166715_Fundamentals_of_Solidification. (accessed 2026-11-09).
2. Aziz, M. J.; Kaplan, T. Continuous growth model for interface motion during alloy solidification. Acta. Metall. 1988, 36, 2335-47.
3. Du, Y.; Chang, Y.; Huang, B.; et al. Diffusion coefficients of some solutes in fcc and liquid Al: critical evaluation and correlation. Mater. Sci. Eng. A. 2003, 363, 140-51.
4. Fu, Y.; Li, H.; Tang, K.; et al. Melt viscosity of light alloys: progress and challenges. J. Mater. Sci. Technol. 2024, 183, 72-88.
5. You, J.; Wang, C.; Qiu, D.; Chen, S.; Liu, Z.; Wang, H. Response of partitioning to cooling rate for different solutes in aluminum alloys. J. Mater. Sci. Technol. 2024, 185, 155-64.
6. Zhang, L.; Du, Y.; Steinbach, I.; Chen, Q.; Huang, B. Diffusivities of an Al–Fe–Ni melt and their effects on the microstructure during solidification. Acta. Mater. 2010, 58, 3664-75.
7. Easton, M.; Gibson, M.; Qiu, D.; et al. The role of crystallography and thermodynamics on phase selection in binary magnesium–rare earth (Ce or Nd) alloys. Acta. Mater. 2012, 60, 4420-30.
8. You, J.; Wang, C.; Ju, H.; Hu, S.; Wang, Y.; Wang, H. Evaluating kinetic properties of Mg-based alloy melts via deep learning potential driven molecular dynamics simulations. J. Mater. Sci. Technol. 2025, 238, 24-35.
9. IIDA, T.; Guthrie, R. I. L. The physical properties of liquid metals; Clarendon Press, 1988. https://books.google.co.in/books/about/The_Physical_Properties_of_Liquid_Metals.html?id=O2rxAAAAMAAJ&redir_esc=y. (accessed 2026-11-09).
10. Scopigno, T.; Ruocco, G.; Sette, F. Microscopic dynamics in liquid metals: the experimental point of view. Rev. Mod. Phys. 2005, 77, 881-933.
11. Dzugutov, M. A universal scaling law for atomic diffusion in condensed matter. Nature 1996, 381, 137-9.
12. Hoyt, J. J.; Asta, M.; Sadigh, B. Test of the universal scaling law for the diffusion coefficient in liquid metals. Phys. Rev. Lett. 2000, 85, 594-7.
13. Bell, I. H.; Dyre, J. C.; Ingebrigtsen, T. S. Excess-entropy scaling in supercooled binary mixtures. Nat. Commun. 2020, 11, 4300.
14. Heitjans, P.; Kärger, J. Diffusion in condensed matter, 2 nd ed.; Springer Berlin, Heidelberg, 2005.
15. Wilden, J.; Yang, F.; Holland-moritz, D.; et al. Impact of sulfur on the melt dynamics of glass forming Ti75Ni25-xSx. Appl. Phys. Lett. 2020, 117, 013702.
16. Sondermann, E.; Jakse, N.; Binder, K.; et al. Concentration dependence of interdiffusion in aluminum-rich Al-Cu melts. Phys. Rev. B. 2019, 99, 024204.
17. Yuan, C. C.; Yang, F.; Kargl, F.; Holland-Moritz, D.; Simeoni, G. G.; Meyer, A. Atomic dynamics in Zr-(Co,Ni)-Al metallic glass-forming liquids. Phys. Rev. B. 2015, 91, 214203.
18. Kresse, G.; Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B. Condens. Matter. 1996, 54, 11169-86.
19. Ernzerhof, M.; Scuseria, G. E. Assessment of the Perdew–Burke–Ernzerhof exchange-correlation functional. J. Chem. Phys. 1999, 110, 5029-36.
20. Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B. Condens. Matter. 1994, 50, 17953-79.
21. Hu, Y. C.; Tian, J. PyMatterSim: a Python data analysis library for computer simulations of materials science, physics, chemistry, and beyond. arXiv 2024, arXiv:2411.17970. Available online: https://doi.org/10.48550/arXiv.2411.17970. (accessed 2026-11-09).
23. You, J.; Wang, C.; Wang, Q.; et al. Accumulative coarse-graining of simple structural descriptors enables accurately predicting the dynamics of metallic liquids. Mater. Today. Phys. 2024, 40, 101282.
24. Song, J.; Shen, C.; Xuan, C.; Mu, W. Integrated machine learning approach to predicting the dissolution of nonmetallic inclusions in metallurgical slags. cScience 2026, 2, e70014.
25. Cranmer, M. Interpretable machine learning for science with PySR and SymbolicRegression.jl. arXiv 2023, arXiv:2305.01582. Available online: https://doi.org/10.48550/arXiv.2305.01582. (accessed 2026-11-09).
26. You, J.; Wang, C.; Shang, S.; et al. Ordering in liquid and its heredity impact on phase transformation of Mg-Al-Ca alloys. J. Magnes. Alloys. 2023, 11, 2006-17.
27. Pettifor, D. G. The structures of binary compounds. I. Phenomenological structure maps. J. Phys. C. Solid. State. Phys. 1986, 19, 285-313.
29. Morgan, D.; Rodgers, J.; Ceder, G. Automatic construction, implementation and assessment of Pettifor maps. J. Phys. Condens. Matter. 2003, 15, 4361-9.
30. Liu, S.; Tang, K.; Zhou, J.; Sun, Z. From screening to generation: reshaping the paradigm of new energy materials discovery with artificial intelligence. cScience 2026, 2, e70015.
31. Li, Y.; Liu, X.; Wang, X.; Xie, W.; Qiu, D.; Yang, J. Effect of material properties on the thermal responses of the carbonization and pyrolysis layers of polymer matrix composites for charring-ablators. J. Mater. Inf. 2025, 5, 31.
32. Li, W.; Wang, Z.; Zhao, M.; et al. Symbolic regression accelerates the discovery of quantitative relationships in rubber material aging. J. Mater. Inf. 2025, 5, 29.
33. Pasturel, A.; Jakse, N. Influence of Cr on local order and dynamic properties of liquid and undercooled Al–Zn alloys. J. Chem. Phys. 2017, 146, 184502.
34. Jakse, N.; Pasturel, A. Coupling between dynamic slowing down and chemical heterogeneity in a metallic undercooled liquid. Phys. Rev. B. 2017, 95, 144210.
35. Sastry, S.; Corti, D. S.; Debenedetti, P. G.; Stillinger, F. H. Statistical geometry of particle packings. I. Algorithm for exact determination of connectivity, volume, and surface areas of void space in monodisperse and polydisperse sphere packings. Phys. Rev. E. 1997, 56, 5524.
36. Ding, J.; Cheng, Y.; Ma, E. Full icosahedra dominate local order in Cu64Zr34 metallic glass and supercooled liquid. Acta. Mater. 2014, 69, 343-54.
37. Sheng, H.; Cheng, Y.; Lee, P.; Shastri, S.; Ma, E. Atomic packing in multicomponent aluminum-based metallic glasses. Acta. Mater. 2008, 56, 6264-72.
38. Leocmach, M.; Tanaka, H. Roles of icosahedral and crystal-like order in the hard spheres glass transition. Nat. Commun. 2012, 3, 974.




