难固溶二元Lennard-Jones体系中固液界面能-温度关系的原子模拟

  • 陈庆玺 ,
  • 张静 ,
  • 李俊杰 ,
  • 王锦程 ,
  • 王雷
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  • 西北工业大学 凝固技术全国重点实验室  西安 710072

收稿日期: 2025-12-01

  修回日期: 2026-06-08

  录用日期: 2026-06-16

  网络出版日期: 2026-06-24

基金资助

国家自然科学基金(No.52301063)

Atomistic Simulation of the Temperature Dependence of the Solid–Liquid Interfacial Energy in a Low-Solubility Binary Lennard–Jones System

  • 陈, 庆玺 ,
  • Zhang, Jing ,
  • LI, Jun-jie ,
  • Wang, Lei
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  • State Key Laboratory of Solidification Processing. Northwestern Polytechnical University, Xi’an 710072, China

Received date: 2025-12-01

  Revised date: 2026-06-08

  Accepted date: 2026-06-16

  Online published: 2026-06-24

Supported by

National Natural Science Foundation of China(No.52301063)

摘要

为明确难固溶性质是否与固液界面能反常温度依赖性有明确的相关性,并揭示这一联系内在物理机制,本工作以二元Lennard-Jones (LJ)体系为研究对象,通过分子动力学模拟结合毛细波涨落法,系统研究了难固溶性质与反常界面能-温度关系之间的关联。结果表明,当原子半径比为1.20或键能比为0.60时,二元LJ体系在研究温度范围内均呈现出难固溶性质(固溶度< 1.0%,原子分数)。在此类体系中,固液界面能随温度降低而增大,表现出类似Cu-Zr和Al-Sm合金中发现的反常界面能-温度关系。基于Gibbs吸附方程的进一步分析表明,在熔点附近,负界面溶质吸附是导致界面能上升的主导因素;而在较低温度下,界面过剩熵转变为正值并与负溶质吸附共同促进了反常界面能-温度关系的产生。

本文引用格式

陈庆玺 , 张静 , 李俊杰 , 王锦程 , 王雷 . 难固溶二元Lennard-Jones体系中固液界面能-温度关系的原子模拟[J]. 金属学报, 0 : 0 . DOI: 10.11900/0412.1961.2025.00396

Abstract

In most alloy systems, the solid–liquid interfacial energy decreases with decreasing solid–liquid equilibrium temperature, exhibiting a positive temperature dependence. This temperature dependence of alloys on the interfacial energy plays a critical role in solidification kinetics, microstructure selection, and phase transformation pathways. However, recent studies on representative low-solubility alloys, such as Cu–Zr and Al–Sm, have revealed the opposite behavior: the interfacial energy increases as the temperature decreases. Since these systems exhibit extremely limited solubility, there has been speculation that the anomalous temperature dependence of the solid–liquid interfacial energy may be intrinsically linked to their low-solubility. However, the generality of this correlation and its underlying physical origin remains unclear. Therefore, the aim of this study is to determine whether low solubility alone is sufficient to induce this anomalous behavior and identify its thermodynamic origin. Compared with embedded-atom method or other metallic potentials, the Lennard–Jones (LJ) potential enables the direct construction of low-solubility binary systems via appropriate parameter selection, providing a controlled model framework to isolate the effects of solubility. In this study, binary LJ systems are employed as model systems to systematically investigate the relationship between low solubility and the anomalous temperature dependence of the solid–liquid interfacial energy by combining molecular dynamics simulations with the capillary fluctuation method. Two representative low-solubility model systems are constructed by independently tuning the atomic size and binding-energy ratios, thereby enabling the controlled and transparent examination of the effects of geometric mismatch and energetic asymmetry on interfacial behavior. The solid–liquid interfacial energy is quantified from equilibrium interface fluctuations, and the corresponding interfacial thermodynamic quantities are further analyzed to elucidate the underlying mechanisms. The results show that when the atomic size ratio is 1.20 or the binding-energy ratio is 0.60, the binary LJ system exhibits low-solubility behavior, with solid solubility remaining below 1.0 at.% throughout the investigated temperature range. Under these conditions, the interfacial energy increases with decreasing temperature, reproducing the anomalous trend previously observed in Cu–Zr and Al–Sm alloys. Further analysis based on the Gibbs adsorption equation reveals that near the melting point, negative solute adsorption at the interface is dominantly responsible for the increase in interfacial energy. At lower temperatures, the interfacial excess entropy becomes positive and acts synergistically with solute adsorption to further enhance the anomalous temperature dependence. These findings demonstrate that the anomalous temperature dependence of the solid–liquid interfacial energy can emerge generically in low-solubility systems, even in the absence of complex many-body metallic bonding. This observation highlights low solubility as a key controlling factor rather than a system-specific peculiarity.

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