论文标题
粘性气泡的崩溃方式：曲率驱动的流体动力学中的拓扑和对称性不稳定性
How viscous bubbles collapse: topological and symmetry-breaking instabilities in curvature-driven hydrodynamics
论文作者
论文摘要
粘性液体中弹性物体的变形与非惯性流之间的二元性在数十年的研究中一直是指导原则。但是，当球体或其他双曲线液膜突然被迫离开机械平衡时，这种二元性被打破了，例如when the pressure inside a liquid bubble drops rapidly due to rupture or controlled evacuation. In such cases the film may evolve through a non-inertial yet geometrically-nonlinear surface dynamics, which has remained largely unexplored. We reveal the driver of such dynamics as temporal variations in the curvature of the evolving surface.着眼于经历快速降压的浮动气泡的原型例子，我们表明，气泡表面通过拓扑不稳定性和随后的前部传播而演变，从而在球形形状的薄膜中构成了一个小的平面区域，并扩展了螺旋形的膜，从而使hoop压缩并触发了另一个旋转式的旋转效果，并触发了整个旋转效果，并构成了螺旋式的螺旋形成，并构成了螺旋螺旋的螺旋。我们的分析揭示了动力学是“ Jellium”物理学的非平衡分支，因此，粘液膜中表面曲率的变化速率类似于在包含极化和导电域的静电介质中充电。我们解释了最新实验的关键特征，并突出了线性稳定性分析的预测与观察到的表面皱纹的“波长”之间的定性不一致。 Our analysis points to the existence of a nonlinear curvature-driven mechanism for pattern selection in viscous flows.
The duality between deformations of elastic bodies and non-inertial flows in viscous liquids has been a guiding principle in decades of research. However, this duality is broken when a spheroidal or other doubly-curved liquid film is suddenly forced out of mechanical equilibrium, as occurs e.g. when the pressure inside a liquid bubble drops rapidly due to rupture or controlled evacuation. In such cases the film may evolve through a non-inertial yet geometrically-nonlinear surface dynamics, which has remained largely unexplored. We reveal the driver of such dynamics as temporal variations in the curvature of the evolving surface. Focusing on the prototypical example of a floating bubble that undergoes rapid depressurization, we show that the bubble surface evolves via a topological instability and a subsequent front propagation, whereby a small planar zone nucleates and expands in the spherically-shaped film, bringing about hoop compression and triggering another, symmetry-breaking instability and radial wrinkles that grow in amplitude and invade the flattening film. Our analysis reveals the dynamics as a non-equilibrium branch of "Jellium" physics, whereby a rate-of-change of surface curvature in a viscous film is akin to charge in an electrostatic medium that comprises polarizable and conducting domains. We explain key features underlying recent experiments and highlight a qualitative inconsistency between the prediction of linear stability analysis and the observed "wavelength" of surface wrinkles. Our analysis points to the existence of a nonlinear curvature-driven mechanism for pattern selection in viscous flows.
