随机搅拌稀乳液中的形状涨落
Shape Fluctuations in Randomly Stirred Dilute Emulsions
摘要：
在本文中，我们考虑的影响下，随机搅拌的主机流体的乳状液中的液滴或其他可变形的物体之间的相互作用。我们的主要兴趣是获得自相关函数的形状波动，在这种随机搅拌的宿主流体，超出稀释限制制度。因此，考虑浸入随机搅拌的主液体中的可变形物体的系统，其中物体经由主液体彼此相互作用。在保持物体密度和物体形状偏离球面的一阶表达式的基础上，将物体形状展开为球谐模，并导出了这些模之间的相关性。研究了受表面张力支配的物体的特殊情况。物体之间的相互作用显式制定和变形的相关性。
英文摘要：
In this paper we consider the effects of the interaction between droplets or other deformable objects in an emulsion under random stirring of the host fluid. Our main interest is to obtain autocorrelation functions of the shape fluctuations in such randomly stirred host fluids, beyond the dilute limit regime. Thus, a system of deformable objects immersed in a host liquid that is randomly stirred is considered, where the objects interact with each other via the host liquid. Keeping expressions in the first order in the density of objects and in deviation of objects shapes from spherical, the shape of each object is expanded in spherical harmonic modes and the correlations of these modes are derived. The special case of objects that are governed by surface tension is investigated. The interaction between objects is explicitly formulated and the deformation correlations are obtained.
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