Abstract This paper concerns modeling of the evolution of the intermittency region between two weakly miscible phases due to temporal and spatial variations of its characteristic length scale. First, the need for a more general description allowing for the evolution of the intermittency region is rationalized. Afterwards, results of the previous work (Waclawczyk T., 2017, On a relation between the volume of fluid, level-set and phase field interface models, Int. J. Multiphas. Flow, Vol. 97) are discussed in the context of sharp interface models known in the literature and new insight into droplet coalescence mechanism recently recognized in molecular dynamics studies (Perumanath S., Borg M.K., Chubynsky M.V., Sprittles J.E., Reese J.M., 2019, Droplet coalescence is initiated by thermal motion, Phys. Rev. Lett., Vol. 122). Finally, physical and numerical models extending the applicability of the equilibrium solution to the case when the intermittency region could also be in the non-equilibrium state are introduced and verified.

中文翻译：

---

两相间断区非平衡效应的建模

摘要 本文涉及对由于其特征长度尺度的时间和空间变化而导致的两个弱混相相之间的间歇区域的演变进行建模。首先，对允许间歇区域演变的更一般描述的需要被合理化了。之后，先前工作的结果（Waclawczyk T.，2017，关于流体体积、水平集和相场界面模型之间的关系，Int. J. Multiphas. Flow，Vol. 97）在以下上下文中进行了讨论文献中已知的清晰界面模型和最近在分子动力学研究中发现的对液滴聚结机制的新见解（Perumanath S.、Borg MK、Chubynsky MV、Sprittles JE、Reese JM，2019，液滴聚结由热运动引发，Phys. Rev . Lett.，第 122 卷）。最后，