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arXiv 1306.2939cond-mat.soft
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三维水相干泡沫的结构与表面粗化

Structure and coarsening at the surface of a dry three-dimensional aqueous foam

A. E. Roth, B. G. Chen, D. J. Durian

摘要:

我们利用全内反射来隔离在三维样品的平面边界处形成的二维“表面泡沫”。由此产生的表面高原边界的图像是一个真正的二维泡沫与高原的法律一致。样本被允许粗化为自相似的缩放状态,其中统计分布与时间无关,除了整体比例因子。在那里,我们发现,统计措施的侧数分布,尺寸拓扑结构的相关性,和气泡的形状,都非常相似的二维泡沫。然而,尺寸分布略宽,形状略长。一个更明显的区别是,T2过程现在包括表面气泡的产生,这是由于在本体中的重排。冯·诺依曼定律对于单个气泡来说是戏剧性的违反。但不管怎样,我们最惊人的发现是冯·诺依曼定律似乎在平均情况下成立。也就是说,表面气泡的平均面积变化率似乎与边数减6成比例,但单个气泡显示出偏离该平均行为的分布。

英文摘要:

We utilize total-internal reflection to isolate the two-dimensional `surface foam' formed at the planar boundary of a three-dimensional sample. The resulting images of surface Plateau borders are consistent with Plateau's laws for a truly two-dimensional foam. Samples are allowed to coarsen into a self-similar scaling state where statistical distributions are independent of time, except for an overall scale factor. There we find that statistical measures of side number distributions, size-topology correlations, and bubble shapes, are all very similar to those for two-dimensional foams. However the size number distribution is slightly broader and the shapes are slightly more elongated. A more obvious difference is that T2 processes now include the creation of surface bubbles, due to rearrangement in the bulk. And von Neumann's law is dramatically violated for individual bubbles. But nevertheless, our most striking finding is that von Neumann's law appears to holds on average. Namely the average rate of area change for surface bubbles appears to be proportional to the number of sides minus six, but with individual bubbles showing a distribution of deviations from this average behavior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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