论文标题
变高的2D干泡沫的平均演化和尺寸亲关系
Average Evolution and Size-Topology Relations for Coarsening 2d Dry Foams
论文作者
论文摘要
根据von Neumann Law的二维干泡沫为$ da/dt \ propto（n-6）$，其中$ n $是带有面积$ a $的泡沫的一面。这样的泡沫达到了一个自相似的缩放状态，在该状态下，区域和侧面分布是静止的。将自相似性与冯·诺伊曼（Von Neumann）定律相结合，我们得出了气泡区域分布的矩和关系矩矩的时间导数，并与侧数分布的平均值相结合，这些分布的平均值是由气泡面积的力量加权的。为了测试这些预测，我们收集和分析了高精度图像数据，以在平行的丙烯酸板之间压壁的大量气泡，并允许将其缩放到自相似的缩放状态中。我们在两到二十的时间内找到了很好的共识。
Two-dimensional dry foams coarsen according to the von Neumann law as $dA/dt \propto (n-6)$ where $n$ is the number of sides of a bubble with area $A$. Such foams reach a self-similar scaling state where area and side-number distributions are stationary. Combining self-similarity with the von Neumann law, we derive time derivatives of moments of the bubble area distribution and a relation connecting area moments with averages of the side-number distribution that are weighted by powers of bubble area. To test these predictions, we collect and analyze high precision image data for a large number of bubbles squashed between parallel acrylic plates and allowed to coarsen into the self-similar scaling state. We find good agreement for moments ranging from two to twenty.
