二维泡沫中拓扑和几何无序的强相关性
Topological and geometrical disorder correlate robustly in two-dimensional foams
摘要：
2D泡沫可以通过其气泡区域的分布和侧面的数量来表征。两个分布都有一个平均值和一个宽度（标准差）。因此，至少有两种非常不同的方法来治疗这种疾病。前者是一种几何测量，而后者是纯粹的拓扑。我们讨论了这两个量之间的共同点和区别。我们在一个被剪切的泡沫中测量它们，这样泡沫就相互移动，泡沫就被“洗牌”了（我们讨论的一个概念）。这两个量是强相关的;在这种情况下（仅），因此使用其中一个或另一个来表征泡沫障碍就足够了。我们建议应用于其他系统的分析，包括生物组织。
英文摘要：
A 2D foam can be characterised by its distribution of bubble areas, and of number of sides. Both distributions have an average and a width (standard deviation). There are therefore at least two very different ways to characterise the disorder. The former is a geometrical measurement, while the latter is purely topological. We discuss the common points and differences between both quantities. We measure them in a foam which is sheared, so that bubbles move past each other and the foam is "shuffled" (a notion we discuss). Both quantities are strongly correlated; in this case (only) it thus becomes sufficient to use either one or the other to characterize the foam disorder. We suggest applications to the analysis of other systems, including biological tissues.
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