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Statistical derivation of basic equations of diffusional kinetics in alloys with application to the description of diffusion of carbon in austenite

机译:合金中扩散动力学基本方程的统计推导及其在描述碳在奥氏体中的扩散中的应用

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摘要

Basic equations of diffusional kinetics in alloys are statistically derived using the master equation approach. To describe diffusional transformations in substitution alloys, we derive the "quasi-equilibrium" kinetic equation that generalizes its earlier versions by taking possible "interaction renormalization" effects into account. For the interstitial alloys Me-X, we derive an explicit expression for the diffusivity D of an interstitial atom X. This expression notably differs from those used in previous phenomenological treatments. This microscopic expression for D is applied to describe the diffusion of carbon in austenite based on some simple models of carbon-carbon interaction. The results obtained enable us to make certain conclusions about the real form of these interactions and about the scale of the "transition state entropy" for diffusion of carbon in austenite.
机译:使用主方程法统计地得出合金中扩散动力学的基本方程。为了描述替代合金中的扩散转变,我们导出了“准平衡”动力学方程,该方程通过考虑可能的“相互作用重新归一化”效应来推广其早期版本。对于间隙合金Me-X,我们得出了间隙原子X的扩散率D的明确表达式。该表达式与以前的现象学处理中所使用的明显不同。 D的这种微观表达基于一些简单的碳-碳相互作用模型,用于描述碳在奥氏体中的扩散。获得的结果使我们能够对这些相互作用的真实形式以及碳在奥氏体中扩散的“过渡态熵”的规模做出某些结论。

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