磁珠线形成的图案之间的形态过渡
Morphological transition between patterns formed by threads of magnetic beads
摘要：
磁珠相互吸引形成链。我们把这样的链推进一个倾斜的Hele-Shaw细胞，发现它们自发地形成自相似模式。根据细胞的倾斜角度，出现两种完全不同的情况，即，在静摩擦角上方，图案类似于绳索的堆叠，而在下方，它们从上方看起来类似于堡垒。此外，局部地第一图案形成正方形晶格，而第二图案呈现三角形对称。对于这两种模式，封闭区域的大小分布遵循幂律。我们的特点是两种模式之间的形态过渡实验和数值和解释的摩擦引起的屈曲和重力之间的竞争的偏振变化。
英文摘要：
Magnetic beads attract each other forming chains. We pushed such chains into an inclined Hele-Shaw cell and discovered that they spontaneously form self-similar patterns. Depending on the angle of inclination of the cell, two completely different situations emerge, namely, above the static friction angle the patterns resemble the stacking of a rope and below they look similar to a fortress from above. Moreover, locally the first pattern forms a square lattice, while the second pattern exhibits triangular symmetry. For both patterns, the size distributions of enclosed areas follow power laws. We characterize the morphological transition between the two patterns experimentally and numerically and explain the change in polarization as a competition between friction-induced buckling and gravity.
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