叠熵理论：从材料基因到材料性能
收稿日期: 2024-05-08
修回日期: 2024-07-05
网络出版日期: 2024-08-29
基金资助
江苏省自然科学基金项目(BK20230673);江苏省双创博士人才项目(JSSCBS20221270)
Zentropy Theory: Bridging Materials Gene to Materials Properties
Received date: 2024-05-08
Revised date: 2024-07-05
Online published: 2024-08-29
Supported by
Natural Science Foundation of Jiangsu Province(BK20230673);Doctor of Entrepreneurship and Innovation of Jiangsu Province(JSSCBS20221270)
熵是科学中一个非常重要的概念，从量子到天文，无处不在。基于统计力学，综合量子力学密度泛函理论和热力学，刘梓葵教授团队建立了关于系统总熵的理论：叠熵理论。该理论以Gibbs统计力学中的微观组态作为材料的基因，把密度泛函理论中的基态作为最基本的微观组态，通过基态的内部自由度遍历所有的微观组态。叠熵理论定义系统总熵为每个微观组态熵的加权平均再加上微观组态之间的Gibbs统计熵。本文系统介绍了叠熵理论的基础方程与原理，简单概述了叠熵理论的典型应用，包括磁性转变、铁电转变、热膨胀机制以及临界现象预测，并对叠熵理论从理论发展、软件生态构建、高通量计算以及与人工智能集成等方面进行了展望。
廖名情 , 王毅 , 王义 , 商顺利 , 刘梓葵 . 叠熵理论：从材料基因到材料性能[J]. 金属学报, 2024 , 60(10) : 1379 -1387 . DOI: 10.11900/0412.1961.2024.00147
Entropy is an important concept in science and is ubiquitous from quantum to astronomy. By integrating statistical mechanics, quantum mechanics, and thermodynamics, Professor Zi-Kui Liu proposed the zentropy theory, which stacks entropy over configurations. The zentropy theory takes the configurations in Gibbs' statistical mechanics of a given ensemble as the material gene with the ground state as the basic configuration and additional configurations ergodically derived from its internal degrees of freedom. In the zentropy theory, the total entropy of a system is defined as the weighted average of the entropy of each configuration plus the statistical entropy among all configurations. In this paper, the basic equations and principles of the zentropy theory are introduced, and their typical applications, including magnetic and ferroelectric transformations, thermal expansion mechanisms, and critical phenomenon prediction are outlined. Furthermore, a perspective on the development of this theory, software ecosystems, high-throughput computing, and integration with artificial intelligence is provided in this study.
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