Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
Institute of Geophysics, Polish Academy of Science, Ksiecia Janusza 64, 00-681 Warsaw, Poland.
Phys Rev E. 2017 Oct;96(4-1):042218. doi: 10.1103/PhysRevE.96.042218. Epub 2017 Oct 30.
We investigate interactions between thin fingers formed as a result of an instability of an advancing front in growth processes. We show that the fingers can both attract and repel each other, depending on their lengths and the mobility ratio between the invading and displaced phase. To understand the origin of these interactions we introduce a simple resistor model of the fingers. The predictions of the model are then compared to the numerical simulations of two unstable growth processes: dissolution of partially cemented rock fracture and viscous fingering in a regular network of channels.
我们研究了在生长过程中前沿不稳定性导致的薄指状物之间的相互作用。结果表明，根据指状物的长度以及侵入相和被置换相之间的迁移率比，指状物之间可以相互吸引或排斥。为了理解这些相互作用的起源，我们引入了一个简单的指状物电阻器模型。然后，将模型的预测与两种不稳定生长过程的数值模拟进行了比较：部分胶结岩石断裂的溶解和规则通道网络中的粘性指状物。
