论文标题

各向异性环境中界面不稳定性的生长形态和对称性选择

Growth morphology and symmetry selection of interfacial instabilities in anisotropic environments

论文作者

Zhang, Qing, Amooie, Amin, Bazant, Martin Z., Bischofberger, Irmgard

论文摘要

在准二维几何形状中,流体将流体的位移通常导致复杂的指法图案。在各向同性系统中,会产生密集的分支生长,其特征是反复插入不断发展的手指。当界面动力学中存在各向异性时,生长形态的变化变成了以常规结构为特征的树突生长。我们通过在Hele-Shaw细胞上雕刻一个六倍的对称晶格来引入各向异性。我们表明,可混杂的液体中的形态转变不仅取决于先前报道的晶格地形所设定的各向异性程度,还取决于两种流体之间的粘度比。值得注意的是,粘度比和各向异性的程度还控制着树突模式的全局特征,从而诱导了从六倍到十二倍对称的树突的系统变化。变化的任何一个控制参数提供了一种新方法来调整复杂模式的对称性,这也可能与梯度驱动的界面动力学(例如方向固化或电沉积)相似。

The displacement of a fluid by another less viscous one in a quasi-two dimensional geometry typically leads to complex fingering patterns. In an isotropic system, dense-branching growth arises, which is characterized by repeated tip-splitting of evolving fingers. When anisotropy is present in the interfacial dynamics, the growth morphology changes to dendritic growth characterized by regular structures. We introduce anisotropy by engraving a six-fold symmetric lattice of channels on a Hele-Shaw cell. We show that the morphology transition in miscible fluids depends not only on the previously reported degree of anisotropy set by the lattice topography, but also on the viscosity ratio between the two fluids. Remarkably, the viscosity ratio and the degree of anisotropy also govern the global features of the dendritic patterns, inducing a systematic change from six-fold towards twelve-fold symmetric dendrites. Varying either control parameter provides a new method to tune the symmetry of complex patterns, which may also have relevance for analogous phenomena of gradient-driven interfacial dynamics, such as directional solidification or electrodeposition.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源