Abstract A theoretical description of the intermediate stage of the phase transformation process, passing into the Ostwald ripening stage, is presented. First, we consider the intermediate stage of nucleation and growth of crystals in the supercooled melts or supersaturated solutions with allowance for fluctuations in their growth rates. The evolutionary behavior of the particle-size distribution function and the metastability degree is described analytically for the Meirs kinetic mechanism. The asymptotic solution for the “tail” of the particle-size distribution function is deduced in the form of the power-dependent function. This distribution function is used as the initial condition for the concluding stage where Ostwald ripening occurs. On this basis, the concluding stage of Ostwald ripening is analytically described. Namely, the maximum of the distribution function is lower and shifted to the left in comparison with the Lifshitz-Slyozov (LS) asymptotic solution. In addition, the distribution function obtained has a “tail” on the right of the LS blocking point. The theory is in good agreement with experimental data.

中文翻译：

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相变过程的中间阶段如何转变为奥斯特瓦尔德熟化的结束阶段

摘要 介绍了相变过程的中间阶段，进入奥斯特瓦尔德熟化阶段的理论描述。首先，我们考虑过冷熔体或过饱和溶液中晶体成核和生长的中间阶段，并考虑到它们的生长速率波动。粒度分布函数和亚稳态度的演化行为对Meirs动力学机制进行了解析描述。粒度分布函数“尾部”的渐近解以幂依赖函数的形式推导出来。该分布函数用作 Ostwald 成熟发生的结束阶段的初始条件。在此基础上，分析描述了奥斯特瓦尔德熟化的结束阶段。即，与 Lifshitz-Slyozov (LS) 渐近解相比，分布函数的最大值较低并向左移动。另外，得到的分布函数在LS阻塞点的右侧有一个“尾巴”。该理论与实验数据吻合良好。