Schmelzer Jürn W P, Tropin Timur V, Abyzov Alexander S
Institut für Physik der Universität Rostock, Albert-Einstein-Strasse 23-25, 18059 Rostock, Germany.
Competence Centre CALOR, Faculty of Interdisciplinary Research, University of Rostock, Albert-Einstein-Str. 25, 18051 Rostock, Germany.
Entropy (Basel). 2023 Feb 10;25(2):329. doi: 10.3390/e25020329.
We consider the process of formation and growth of clusters of a new phase in segregation processes in solid or liquid solutions in an open system when segregating particles are added continuously to it with a given rate of input fluxes, Φ. As shown here, the value of the input flux significantly affects the number of supercritical clusters formed, their growth kinetics, and, in particular, the coarsening behavior in the late stages of the process. The detailed specification of the respective dependencies is the aim of the present analysis, which combines numerical computations with an analytical treatment of the obtained results. In particular, a treatment of the coarsening kinetics is developed, allowing a description of the development of the number of clusters and their average sizes in the late stages of the segregation processes in open systems, which goes beyond the scope of the classical Lifshitz, Slezov and Wagner theory. As is also shown, in its basic ingredients, this approach supplies us with a general tool for the theoretical description of Ostwald ripening in open systems, or systems where the boundary conditions, like temperature or pressure, vary with time. Having this method at one's disposal supplies us with the possibility that conditions can be theoretically tested, leading to cluster size distributions that are most appropriate for desired applications.
我们考虑在开放系统中，当以给定的输入通量Φ向固溶体或液溶体中连续添加偏析粒子时，偏析过程中新相团簇的形成和生长过程。如下所示，输入通量的值会显著影响所形成的超临界团簇的数量、它们的生长动力学，尤其是过程后期的粗化行为。详细说明各自的依赖性是本分析的目的，本分析将数值计算与对所得结果的解析处理相结合。特别是，我们发展了一种对粗化动力学的处理方法，能够描述开放系统中偏析过程后期团簇数量及其平均尺寸的变化情况，这超出了经典的利夫希茨、斯列佐夫和瓦格纳理论的范围。同样如我们所展示的，在其基本要素方面，这种方法为我们提供了一种用于理论描述开放系统或边界条件（如温度或压力）随时间变化的系统中奥斯特瓦尔德熟化的通用工具。掌握这种方法使我们有可能在理论上测试各种条件，从而得到最适合预期应用的团簇尺寸分布。
