材料科学技术(英文版)2024,Vol.197Issue(30) :215-226.DOI:10.1016/j.jmst.2024.01.074

A thermodynamic extremal principle incorporating the constraints from both fluxes and forces.Ⅱ.Application to isothermal diffusion in multi-principal element alloys

Xin Li Dexu Cui Jianbao Zhang Zhiyuan Huang Haifeng Wang Yuhong Zhao Weimin Liu
材料科学技术(英文版)2024,Vol.197Issue(30) :215-226.DOI:10.1016/j.jmst.2024.01.074

A thermodynamic extremal principle incorporating the constraints from both fluxes and forces.Ⅱ.Application to isothermal diffusion in multi-principal element alloys

Xin Li 1Dexu Cui 1Jianbao Zhang 1Zhiyuan Huang 1Haifeng Wang 1Yuhong Zhao 2Weimin Liu3
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作者信息

  • 1. State Key Laboratory of Solidification Processing,Center of Advanced Lubrication and Seal Materials,Northwestern Polytechnical University,Xi'an 710072,China
  • 2. School of Materials Science and Engineering,North University of China,Taiyuan 030051,China
  • 3. State Key Laboratory of Solidification Processing,Center of Advanced Lubrication and Seal Materials,Northwestern Polytechnical University,Xi'an 710072,China;State Key Laboratory of Solid Lubrication,Lanzhou Institute of Chemical Physics,Chinese Academy of Sciences,Lanzhou 730000,China
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Abstract

The thermodynamic extremal principle incorporating the constraints from both fluxes and forces pro-posed in part Ⅰ was applied to isothermal diffusion in multi-principal element alloys(MPEAs)to propose the so-called double-constraint model.The model cannot reduce physically to the previous model con-sidering only the constraint from fluxes(i.e.,the single-constraint model)but in special cases reduces to Fick's law and Darken's equation,showing its reliability.Similar to the previous pair-wise model and single-constraint model,the solutes and solvent do not need to be defined in advance in the double-constraint model and the model can be also applied directly to diffusion in MPEAs.Applications to isothermal diffusion in CoCrFeMnNi pseudo-binary diffusion couple and CoCrFeNi,CoCrFeMnNi body-diagonal diffusion couples showed that the present double-constraint model overall predicted better the experimental results than the previous single-constraint model,indicating again the necessity to consider the constraints from both fluxes and forces in the phenomenological theory of Onsager.

Key words

Thermodynamic extremal principle/Diffusion/Phenomenological theory of Onsager/Multi-principal element alloys

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基金项目

Natural Science Foundation of China(51975474)

Natural Science Foundation of China(52304414)

Fundamental Research Funds for the Central Universities(3102019JC001)

出版年

2024
材料科学技术(英文版)
中国金属学会 中国材料研究学会 中国科学院金属研究所

材料科学技术(英文版)

CSTPCDCSCD
影响因子:0.657
ISSN:1005-0302
参考文献量49
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