The Atomistic 2nd Law of Thermodynamics and its necessary and sufficient condition can be used to explain the phase diagrams of one or two components. In these explanations, the lowest molar total chemical potential of atomistic features plays an important role, while the common tangent and lever rule are useful in understanding binary phase diagrams. In explaining the microstructural evolution at a composition of a binary phase diagram, the driving force, the mobility of atomistic features and lever rule etc. can be well applied. Recently the use of machines or AI in the optimization of material properties is highly valued. More effective results could be obtained if the users of these tools have better understanding of the Atomistic 2nd Law of Thermodynamics and kinetics. The discussed topics are: T-T-T curves and phase diagrams, T-T-T curves of 1080 steel, T-T-T curves of other materials, systems containing low-melting impurities.
References
[1]
Liu, K. (2025) Communication: A Simpler and More Applicable 2nd Law of Thermodynamics. AdvancesinMaterialsPhysicsandChemistry, 15, 39-59. https://doi.org/10.4236/ampc.2025.153003
[2]
Liu, K. (2025) Communication: Phenomena That Could Make the Atomistic 2nd Law of Thermodynamics Clearer. AdvancesinMaterialsPhysicsandChemistry, 15, 101-116. https://doi.org/10.4236/ampc.2025.157007
[3]
Phase Diagram for Water. https://courses.lumenlearning.com/umes-cheminter/chapter/phase-diagram-for-water/
[4]
Wikipedia (2026) Carbon. https://en.wikipedia.org/wiki/Carbon
Lee, S. (2025) Ternary Phase Diagrams: Theory and Practice: A Detailed Exploration for Researchers and Practitioners。 https://www.numberanalytics.com/blog/ternary-phase-diagrams-theory-practice
[7]
Wang, C., Zhang, X., Li, L., Pan, Y., Chen, Y., Yang, S., et al. (2018) Phase Equilibria of the Co-Ti-Ta Ternary System. Metals, 8, Article 958. https://doi.org/10.3390/met8110958
[8]
A Practical Guide to Phase Diagrams. https://phasediagram.weebly.com/eutectics.html
[9]
Tsenenko, D. (2019) EXATIN INFORM. https://exatin.info/iron-carbon-phase-diagram/
[10]
Kathavate, V.S. and Eswar Prasad, K. (2025) Microstructure Evolution and Mechanical Properties of Alloys Fabricated via Additive Manufacturing. In: Rathee, S., Srivastava, M. and Paulo Davim, J., (Eds.), Metal Additive Manufacturing, Springer, 131-162. https://doi.org/10.1007/978-981-96-8162-4_8
[11]
Wang, H., Zhao, Q., Xin, S., Zhao, Y., Zhou, W. and Zeng, W. (2021) Microstructural Morphology Effects on Fracture Toughness and Crack Growth Behaviors in a High Strength Titanium Alloy. MaterialsScienceandEngineering: A, 821, Article ID: 141626. https://doi.org/10.1016/j.msea.2021.141626
[12]
Wang, Y., Gao, H., Sun, M., Lin, C., Li, H., Lin, F.R., et al. (2024) Diffusion-Controlled Morphology Modification via Employing Host/Guest Acceptors to Improve the Stability of Organic Photovoltaics. Advanced Energy Materials, 14, Article ID: 2304449. https://doi.org/10.1002/aenm.202304449
[13]
Whitman, S.E. and Latypov, M.I. (2025) Machine Learning of Microstructure-Property Relationships in Materials Leveraging Microstructure Representation from Foundational Vision Transformers. ActaMaterialia, 296, Article ID: 121217. https://doi.org/10.1016/j.actamat.2025.121217
[14]
Madika, B., Saha, A., Kang, C., Buyantogtokh, B., Agar, J., Wolverton, C.M., et al. (2025) Artificial Intelligence for Materials Discovery, Development, and Optimization. ACSNano, 19, 27116-27158. https://doi.org/10.1021/acsnano.5c04200
[15]
Price, S. (2024) Reading a Time Temperature Transformation Curve for Metallurgy. https://insights.globalspec.com/article/22799/reading-a-time-temperature-transformation-curve-for-metallurgy
[16]
Onike, F., Martin, G.D. and Dunham, A.C. (1986) Time—Temperature—Transformation Curves for Kaolinite. MaterialsScienceForum, 7, 73-82. https://doi.org/10.4028/www.scientific.net/msf.7.73
[17]
Liu, K., Thomas, G., Caballero, A., Moya, J.S. and de Aza, S. (1994) Time-Temperature‐transformation Curves for Kaolinite-α-alumina. JournaloftheAmericanCeramicSociety, 77, 1545-1552. https://doi.org/10.1111/j.1151-2916.1994.tb09755.x
[18]
Long, Z., Xie, G., Wei, H., Su, X., Peng, J., Zhang, P., et al. (2009) On the New Criterion to Assess the Glass-Forming Ability of Metallic Alloys. MaterialsScienceandEngineering: A, 509, 23-30. https://doi.org/10.1016/j.msea.2009.01.063
[19]
Martín, M.I., López, F.A., Alguacil, F.J. and Romero, M. (2014) Development of Crystalline Phases in Sintered Glass-Ceramics from Residual E-Glass Fibres. Ceramics International, 40, 2769-2776. https://doi.org/10.1016/j.ceramint.2013.10.040
[20]
Liu, K.C. (1990) Mullite Formation by Reaction Sintering of Kaolinite-Alumina. Ph.D. Thesis, University of California. https://books.google.com.tw/books/about/Mullite_Formation_by_Reaction_Sintering.html?id=l2lLAQAAMAAJ&redir_esc=y
[21]
Shang, W., Peng, Z., Huang, Y., Gu, F., Zhang, J., Tang, H., et al. (2021) Production of Glass-Ceramics from Metallurgical Slags. JournalofCleanerProduction, 317, Article ID: 128220. https://doi.org/10.1016/j.jclepro.2021.128220
[22]
Du, Y., Guo, Y., Wang, G., Zhang, H., Deng, L., Chen, H., et al. (2023) Preparation of Glass-Ceramics from Blast Furnace Slag and Its Heavy Metal Curing Properties. JournalofMaterialCyclesandWasteManagement, 25, 3081-3092. https://doi.org/10.1007/s10163-023-01744-2
