多界面物体浮起的平衡条件
Equilibrium Conditions for the Floating of Multiple Interfacial Objects
摘要：
我们研究了漂浮在流体界面上的物体之间的相互作用的效果，在这种情况下，物体主要由表面张力支持。我们给这些对象的密度和大小的平衡条件是可能的，并表明，两个对象，浮动时，以及分离可能会下沉的对象之间的分离减少。最后，我们研究了平衡的筏带浮动在接口，并发现，筏足够低的密度可能有无限的空间范围，但在一个临界筏密度以上，所有的筏下沉，如果他们足够大。我们比较我们的数值和渐近结果与一些简单的桌面实验，并找到良好的定量协议。
英文摘要：
We study the effect of interactions between objects floating at fluid interfaces, for the case in which the objects are primarily supported by surface tension. We give conditions on the density and size of these objects for equilibrium to be possible and show that two objects that float when well-separated may sink as the separation between the objects is decreased. Finally, we examine the equilbrium of a raft of strips floating at an interface, and find that rafts of sufficiently low density may have infinite spatial extent, but that above a critical raft density, all rafts sink if they are sufficiently large. We compare our numerical and asymptotic results with some simple table-top experiments, and find good quantitative agreement.
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