论文标题
热力学因子在二元混合物中固有和示踪剂扩散率中的作用
The role of the thermodynamic factor on the intrinsic and tracer diffusivities in binary mixtures
论文作者
论文摘要
一个黑暗方程式在固体二进制混合物中的物种$ a $之间的固有和示踪剂扩散系数($ d_a $和$ d_a^*$)之间产生了关系。在其原始版本中,方程式读取$ d_a = d_a^*γ$,带有$γ$的热力学因子。本文中解决的问题是$ d_a $和$ d_a^*$如何单独依赖于$γ$。使用最新的过渡概率的结果(M. Di Muro和M. Hoyuelos,Phys。Ev。E 104,044104,2021),这表明内在扩散率不取决于$γ$。这种方法简化了以前达到相同结果的理论分析。使用Ni-PD和Fe-PD合金扩散的实验结果(M. J. H. van Dal等人,Acta Mater。48,385,2000)用于检查该理论。
One of the Darken equations gives a relationship between the intrinsic and the tracer diffusion coefficients, $D_A$ and $D_A^*$, of species $A$ in a solid binary mixture. In its original version, the equation reads $D_A = D_A^* Γ$, with $Γ$ the thermodynamic factor. The question addressed in this paper is how $D_A$ and $D_A^*$ depend separately on $Γ$. Using a recent result for transition probabilities in terms of the excess chemical potential (M. Di Muro and M. Hoyuelos, Phys. Rev. E 104, 044104, 2021), it is shown that the intrinsic diffusivity does not depend on $Γ$. This approach simplifies a previous theoretical analysis that reaches the same result. Experimental results of diffusion in a Ni-Pd and Fe-Pd alloys (M. J. H. van Dal et al., Acta mater. 48, 385, 2000) are used to check the theory.