首页|A thermodynamic extremal principle incorporating the constraints from both fluxes and forces.Ⅱ.Application to isothermal diffusion in multi-principal element alloys
A thermodynamic extremal principle incorporating the constraints from both fluxes and forces.Ⅱ.Application to isothermal diffusion in multi-principal element alloys
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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.
Thermodynamic extremal principleDiffusionPhenomenological theory of OnsagerMulti-principal element alloys
Xin Li、Dexu Cui、Jianbao Zhang、Zhiyuan Huang、Haifeng Wang、Yuhong Zhao、Weimin Liu
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State Key Laboratory of Solidification Processing,Center of Advanced Lubrication and Seal Materials,Northwestern Polytechnical University,Xi'an 710072,China
School of Materials Science and Engineering,North University of China,Taiyuan 030051,China
State Key Laboratory of Solid Lubrication,Lanzhou Institute of Chemical Physics,Chinese Academy of Sciences,Lanzhou 730000,China
Natural Science Foundation of ChinaNatural Science Foundation of ChinaFundamental Research Funds for the Central Universities